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Best books for essay writing

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Books for Academic Writing - University of Warwick

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The College Guide to Essay Writing [ Updated 03/15/2010/]: Jill

Simple and best books for essay writing Clean Resume Templates. Hiring managers look at very many of resumes. Their eyes get tired quickly, and having to reflexive essay look at elaborate resumes doesn’t help. In fact, fancy resume formats make the recruitment process even harder, since hiring managers have to look past the design elements in books writing, order to get to the content. Reflexive Essay? Many job seekers believe that an eye-catching resume alone will help them land a job. However, that is not usually the case. A clean, simple resume can help you stand out from the pool of applicants by being easy to read and pleasant to writing look at. Professional resume formats will often use minimalist formatting to essay on eternal of liberty capture the attention of a hiring manager and showcase experience and skills. In this guide, we’ll talk about which types of best books employers prefer a simple resume format over a modern or creative one.

We’ll also walk you through how to format and write a resume using one of our free resume templates. Let’s get you on the path to creating your resume today. A simple resume does not need to be a boring one. Brief Essay Friendship? In fact, a simple resume format requires a lot of creativity because it should be both pleasing to the eye and books writing tailored to your experience and essay on eternal price desired job. A simple resume can be more conservative or more trendy, depending on which template you use. All of for essay writing our templates here have clean, simple layouts, but there is a lot of variety within the simple resume format, so you can choose one that suits your work history best.

What Jobs Require a Simple Resume? If you’re applying to a conservative or old-fashioned place of essay employment, a simple resume is the way to go. The legal field is an best for essay writing example of essay on eternal vigilance is the of liberty a conservative workplace. Best Writing? So are most professions in finance and many large corporate offices. If the job you want has a conservative dress code, you should probably use a simple resume format. Papers? This is like a dress code for your resume. Although a simple resume format is essential in those types workplaces, a well-crafted simple resume can also impress a potential employer in writing, a creative, modern field. If you’re going after a job where design is important, then knowing how to use simple design elements without relying on fancy fonts or borders can actually make your resume stand out. Font, formatting, color scheme, and use of white space all make an reflexive essay attractive simple resume. For Essay Writing? This requires solid design knowledge.

Whether you’re applying to be a graphic designer or a fashion designer, a simple resume can be an excellent example of your creative skills. If you’re applying to reflexive essay a newer company, the books for essay writing, employer can also be impressed by a clean, traditional simple resume, even if the corporate culture is more laid-back. Many startups and essay on eternal vigilance price of liberty tech companies use a minimalist aesthetic for their offices, websites, and products. You can show you’re a good fit by reflecting that same clean aesthetic in your resume. You need to best books for essay writing decide what you’ll be putting on your resume before you can write and essay narrative format it. To help you decide what should go on best books writing your resume, you can use your existing resume or you can note down some specifics about projections, your skills and experience.

What you put on your resume will also depend on the details of the for essay writing, desired job and the job description. If you’re applying in the medical field for example, it’s important to have a section for certifications and credentials. If you’re applying for a retail job, however, this section is probably not necessary. Here are the sections that should always go on your resume: Here are some ideas for optional sections: Career Objective, Objective Statement, or Professional Summary Interests and Activities Relevant Skills Achievements and Awards References. Your resume should have the essay on eternal is the price of liberty, minimum number of books writing sections necessary to brief essay friendship showcase your abilities as a job candidate. Ruthlessly delete unnecessary information.

Now that you’ve decided what sections to best for essay include, it’s time to format those sections into a beautiful, simple resume. You don’t need to do this work on your own. We’ve compiled a list of simple resume templates you can use. However, you should know about good resume design so you’ll know how to best customize the template you choose. With all of our resume templates, you can change the bullet points, fonts, colors, and arrangement as needed. Avoid large blocks of text in your resume. Having white space between sections adds balance. If a section on reflexive essay your resume involves a list (such as a “Skills” section), you will want to choose a template with bullet points. These make your resume look organized and best for essay writing easy to read. There’s nothing wrong with a classic font like Times New Roman, but a simple resume often looks best with a clean, modern, sans-serif font like Helvetica Neue.

If you choose to use font colors to dress up your resume, use them sparingly. Pick just one or two colors to highlight aspects of your resume. For example, you might choose a conservative color, like gray or dark blue, for resume headers. Make sure any font color you choose is easy to read. Avoid pink, yellow, and lighter shades, which look unprofessional and essay culture are hard to notice. Always be consistent. Best Books For Essay? Have your “Objective” header in the same color as your “Education” header. Friendship? Don’t write your “Skills” section in Times New Roman and your “Work History” section in Helvetica. The following common resume mistakes make your resume look too complicated and poorly designed:

Too many colors and fonts Hard-to-detect colors and fonts Unconventional fonts like Comic Sans Elaborate borders Colored or needlessly fancy paper Too many sections Unnecessary images Inconsistent formatting. If your resume is overly designed or messy, employers will be distracted from the content and more likely to put your resume in best books for essay, the “No” pile. Reflexive Essay? A really elaborate resume might even be automatically discarded before it gets read. Once you’ve chosen the books writing, right resume template for papers you, it’s time to best writing write your unique resume content. If you’ve never written a resume before, use one of our detailed resume guides, or a free resume builder to essay help you get started. A simple resume is about more than just layout. There should be simplicity in your phrasing too. This is the case for all resumes, but especially for one with a simple design. Don’t hide your impressive experience under flowery language or long sentences. Best Books For Essay? State things simply so employers can easily learn about plan, you. It may be tempting to best books add detail with more words, but wordiness will only and public compare and contrast essay make your resume look messy.

Keep in mind that many job applications will also require a cover letter, where you can add more detail about your experience. For Essay Writing? It doesn’t all need to go on your resume. Use active verb forms and short sentences or bullet points when describing things like skills or achievements. Find places to cut or reword. It’s okay to use sentence fragments in your bullet points.

Not only business do these points make your resume look good, they also make it more likely that a prospective employer will read all of it. We have a variety of free simple resume examples to suit your needs, including chronological, functional, and books combination resumes. Using what you’ve just learned in this guide, look through these templates and choose one that suits your current job search best. Then customize it to reflect what you have to offer as a unique job candidate. Good use of projections white space gives this professional resume template an open feel while subtle colours add design touch. Books For Essay? Two main sections let you detail your experiences and education in a reverse chronological order. Size: 183 B Downloads: 103828 Filename: upfront.docx Uploaded: 2014-05-09 20:18:00 / 6327. Very compact and essay narrative papers neat professional layout. Books For Essay Writing? Notice how the use of culture international business red text draws the eye. Just the right amount in the right places can be really helpful to the reader. Size: 183 B Downloads: 103198 Filename: neat.docx Uploaded: 2014-05-06 11:38:00 / 4968.

Traditional format with light orange headers and best writing subtle gray titles. Great sample resume for graphic designers, corporate writers, or administrative professionals. Size: 183 B Downloads: 52894 Filename: subtle-creativity.docx Uploaded: 2014-05-09 19:42:00 / 6315. Margin column for titles and business plan headings provides lots of space for detailed, paragraph statements. Best Books Writing? Perfect resume example for business, industrial, or vocational professionals. Size: 183 B Downloads: 34052 Filename: broad-appeal.docx Uploaded: 2014-05-09 20:48:00 / 6348. Labor, manufacturing, educational, and essay service industry skills template.

Good use of best white space to catch the eye with blue section divider lines and large, bold section titles. Size: 183 B Downloads: 17070 Filename: commencing.docx Uploaded: 2014-05-09 22:42:00 / 6409. Just a bit of colour and creative use of indent make add a creative twist to essay papers this very traditional straight-forward design. Indented text helps the books for essay writing, headings stand out. Size: 183 B Downloads: 16068 Filename: indent-line.docx Uploaded: 2014-05-06 17:22:00 / 5631. Excellent sample for those with lots of skills and training and maybe not a lot of experience. Bold headings with vertical divider lines and blue titles provide focus for on eternal vigilance the reader.

Size: 183 B Downloads: 15324 Filename: fresh-take.docx Uploaded: 2014-05-08 16:54:00 / 6092. Conventional, two-page layout with profile photo and red and blue fonts add design touch. Best Writing? Plus signs used for bullet points. Reflexive Essay? Great for books for essay technology, engineering, or financial career seekers. Size: 183 B Downloads: 14473 Filename: creative-conventions.docx Uploaded: 2014-05-08 15:32:00 / 6023. Two-page format with a two-column layout offers much space for multiple sections. Light blue titles and dashed section lines add design touch. Essay? Give all of your details here. Size: 183 B Downloads: 13274 Filename: point-left.docx Uploaded: 2014-05-09 20:57:00 / 6354.

Subtle red titles and block, sans serif fonts give this template a stately feel. Great use of white space complements paragraph descriptions of your experiences, strengths, and best objectives. Size: 183 B Downloads: 13088 Filename: stately.docx Uploaded: 2014-05-08 16:19:00 / 6065. Touches of red shadings and gray background really draw in the reader#039;s focus. Essay On Eternal Vigilance? Plus signs used for best for essay writing bulleted lists with room for multiple sections. Size: 183 B Downloads: 12908 Filename: bold-red-shading.docx Uploaded: 2014-05-09 20:34:00 / 6345. Check box bullets tick off all of your great career highlights in this two-page resume with blue section divider lines. Essay Papers? Excellent resume style for very experienced and accomplished professionals. Size: 183 B Downloads: 12726 Filename: accomplished.docx Uploaded: 2014-05-08 17:47:00 / 6135.

Perfect use of best for essay typography to essay draw attention to your name and a short message. Horizontal and writing vertical lines help to international business divide up the information for an easy read. Size: 183 B Downloads: 10163 Filename: important-message.docx Uploaded: 2014-05-06 11:46:00 / 4977. Small profile picture and thin, blue-shaded headers add design to this classic format with lots of space for summary texts and bulleted lists. Best Books? Business, health and IT professionals benefit here.

Size: 183 B Downloads: 9065 Filename: packed-classic.docx Uploaded: 2014-05-08 11:53:00 / 5908. Light brown headings and vertical bright green dashed lines catch the narrative papers, eye and break content into books writing easy to read sections. Bold titles bring focus to key experiences and skills. Great sample for marketing, public relations, or communications professionals. Size: 183 B Downloads: 8751 Filename: beaming.docx Uploaded: 2014-05-09 19:15:00 / 6278. Bold, open squares and thin black lines divide the two-column page layout. Essay On Eternal Is The Price Of Liberty? Dates and best books for essay writing key words offset in the margins act as section intros. Excellent template for university and IT job seekers. Size: 183 B Downloads: 8619 Filename: checkmark-timeline.docx Uploaded: 2014-05-08 12:18:00 / 5929. Thin and thick blue lines define each squared section with headings in bold, white fonts to give this template pop.

Size: 183 B Downloads: 7135 Filename: blue-pop.docx Uploaded: 2014-05-07 20:24:00 / 5795. Offset one-column layout with red and orange colours and business projections bold, large headers and titles with paragraph descriptions. Creative sample with a business feel. Size: 183 B Downloads: 7016 Filename: next-level.docx Uploaded: 2014-05-09 20:32:00 / 6342. Section titles offset in the margin with blue and light gray fonts. Best Writing? Small vertical lines used to separate columns. Excellent template for those who have been in one industry for brief essay several years. Size: 183 B Downloads: 6473 Filename: industry-lifer.docx Uploaded: 2014-05-08 15:49:00 / 6041.

Dark black section dividers complement light green and best books writing blue fonts and bullets. Large, three-columned Core Skills section for many key attributes. Homeschooling And Public And Contrast? Serif font type completes mature, professional feel. Size: 183 B Downloads: 5797 Filename: cosmopolitan.docx Uploaded: 2014-05-08 15:41:00 / 6032. Two-page, one-column layout with red and orange for headings and books for essay titles.

Lots of space for detailed, paragraph descriptions. Corporate and academia feel with this sample. Size: 183 B Downloads: 5630 Filename: tidy.docx Uploaded: 2014-05-09 19:23:00 / 6287. A traditional format that portrays a simple elegance. An initialed ribbon provides a smart touch which can be personalized with you initials, your highest qualification or your most prestigious award.

Bullet points help you to vigilance is the price squeeze in books for essay, a lot more information without making your resume too long. Size: 183 B Downloads: 5628 Filename: elegant-traditional.docx Uploaded: 2014-05-06 11:35:00 / 4958. Traditional layout with bold and italic font types. Large red square with white font provides good space for plan financial objective. Great sample for best for essay writing corporate, IT, and nonprofit job seekers. Size: 183 B Downloads: 5560 Filename: bold-red.docx Uploaded: 2014-05-08 13:37:00 / 5993. This simple block colour really makes a statement and is the and public school compare, perfect backdrop for the black text. Size: 183 B Downloads: 5118 Filename: pretty-pink.docx Uploaded: 2014-05-06 18:13:00 / 5665.

One look and everyone will know who you are. For Essay? The placement size and bold text really make the name on reflexive essay this resume stand out. Size: 183 B Downloads: 5111 Filename: name.docx Uploaded: 2014-05-06 11:44:00 / 4974. Large and small margins add white space while offering plenty of for essay writing room for multiple sections. Bold orange and brief friendship blues for best for essay titles focus the reflexive essay, reader. Books Writing? Great template for entry level positions or new graduates. Size: 183 B Downloads: 4695 Filename: offset.docx Uploaded: 2014-05-08 16:08:00 / 6056. Bold section titles with arrow points and light maroon titles give this sample a vivid touch. Full page layout for essay culture multiple sections to let you list plenty of best information.

Size: 183 B Downloads: 4653 Filename: striking.docx Uploaded: 2014-05-08 16:38:00 / 6080. This block and bulleted resume offers a professional-looking style. School Compare And Contrast? The enlarged font size for best for essay writing the objective section clearly defines your goals. Size: 183 B Downloads: 4502 Filename: professional-block.docx Uploaded: 2014-05-06 19:31:00 / 5711. The use of reflexive essay bold text, simple colours, underlines and spacing makes this a very easy read. Size: 183 B Downloads: 4377 Filename: simple-underline.docx Uploaded: 2014-05-06 17:46:00 / 5649. Plus signs and books writing lines outline each area with arrows providing the bulleted direction to your skills and business experience. Best Books For Essay Writing? Scientific, data, and IT feel with this one. Size: 183 B Downloads: 4303 Filename: plus.docx Uploaded: 2014-05-06 19:46:00 / 5724.

Easy to scan, one column template with section and title headings in colour as well as all caps make your information quick to read. Large Skills Abilities section great for narrative the career changer. Size: 183 B Downloads: 4123 Filename: academia.docx Uploaded: 2014-05-06 20:17:00 / 5748. Open and best for essay airy one-column format centered on the page. Blue headings and bold titles with plus signs and outlined circle bullets provide subtle design appeal.

Service and labour workers take a look here. Size: 183 B Downloads: 4084 Filename: breezy.docx Uploaded: 2014-05-08 15:35:00 / 6026. Colour contrast and different font types dictate the style and impact of this resume. The use of the red always pulls you back to the name of the plan financial, applicant. Size: 183 B Downloads: 3990 Filename: simple-red.docx Uploaded: 2014-05-06 18:02:00 / 5655. Oversized captions for key words or job titles. Best Books For Essay Writing? Small profile photo with blue shaded section headers. Reflexive Essay? Excellent use of space for intern experience, new graduates, and creative professionals. Size: 183 B Downloads: 3942 Filename: caption.docx Uploaded: 2014-05-08 18:00:00 / 6144.

Want a different way to distinguish your sub-headings from your headings? This layout shows how different shades of the books for essay, same colour can do this. Size: 183 B Downloads: 3823 Filename: mono-shading.docx Uploaded: 2014-05-06 11:48:00 / 4986. Light blue titles, bold headings, and carat bullets with good use of white space in this basic resume template. Brief Friendship? Perfect example for service industry and labour staff as well as new graduates. Size: 183 B Downloads: 3335 Filename: burgeoning.docx Uploaded: 2014-05-08 16:52:00 / 6089. Simple layout with bold headings and thick lines to separate different sections. Not the best format if you have a lot of information to for essay include. Size: 183 B Downloads: 3183 Filename: simple-central.docx Uploaded: 2014-05-06 18:10:00 / 5662. Offset sections balance out business plan financial projections, this sample.

Good use of white space helps focus the reader#039;s eye. Orang titles provide design touch. Great format to take your few years of experience to the next level. Size: 183 B Downloads: 1183 Filename: moving.docx Uploaded: 2014-05-08 18:05:00 / 6147. Thin margins with stacked sections provide lots of area for all of your achievements.

Unique Projects area lets you describe your accomplishments. IT, project management, and senior-level sample. Size: 183 B Downloads: 167299 Filename: substantial.docx Uploaded: 2014-05-08 16:36:00 / 6077. Thin page border and section divider lines with red and books for essay bold, black titles and key words provide an executive feel. Culture International Business? Project managers, directors, and senior VPs can do well with this example. Size: 183 B Downloads: 11562 Filename: top-level.docx Uploaded: 2014-05-08 16:42:00 / 6083. A compact resume format that draws the reader’s eye to the important information across different sections. Size: 183 B Downloads: 10835 Filename: in-a-nutshell.docx Uploaded: 2015-10-10 08:21:00 / 8305. Two well-defined columns give this sample structure. Thick, orange-coloured bar graphs make your capabilities pop on the page and best the italicized, muted gray job titles add the professionalism.

Size: 183 B Downloads: 10053 Filename: raise-bar.docx Uploaded: 2014-05-06 20:28:00 / 5758. What stands out in narrative papers, this sample is the Skills section. This format provides an instant snapshot of books writing your skill levels that looks very professional and easy to read. Size: 183 B Downloads: 9662 Filename: self-assessment.docx Uploaded: 2014-05-06 11:47:00 / 4980. Entry-level workers ready for the next step here. Homeschooling School And Contrast Essay? Conventional sections with blue headers and light gray arrows and best for essay writing open circular bullets point all of your strengths and skills.

Plenty of room for goals, key word lists, and more. Size: 183 B Downloads: 7400 Filename: space.docx Uploaded: 2014-05-08 15:38:00 / 6029. A very smart style that gets straight down to culture business business. Can you summarize your abilities into books a couple of sentences? Most prospective employers don#039;t have a lot of time to read through lengthy resumes. Size: 183 B Downloads: 6467 Filename: classic-elegance.docx Uploaded: 2014-05-06 11:36:00 / 4961. Great use of contrasting text colour and line thickness to differentiate between sets of friendship information.

Size: 183 B Downloads: 5490 Filename: section-lines.docx Uploaded: 2014-05-06 17:49:00 / 5652. Small margins and thin gray shadowed headings with white fonts offer lots of room in best, this example. Homeschooling And Public Compare And Contrast Essay? Multiple sections for books for essay writing your training, certifications, skills, and other information. Size: 183 B Downloads: 4863 Filename: traditional-plus.docx Uploaded: 2014-05-07 21:02:00 / 5836. Just a bit of colour goes a long way in international business, breaking up information. Size: 183 B Downloads: 4623 Filename: nonsense.docx Uploaded: 2014-05-06 19:10:00 / 5698. Bold headings and shading flush out this sample with plus signs and for essay open circles for bullet points. Good skills resume for those with lots of experience and training outside the traditional job environment.

Size: 183 B Downloads: 3894 Filename: skilled.docx Uploaded: 2014-05-07 20:05:00 / 5783. Bold, black headings and essay section dividers with light-gray lines used for bullets and books blue font type for your name make this a non-traditional traditional template. Size: 183 B Downloads: 3884 Filename: non-traditional-traditional.docx Uploaded: 2014-05-08 12:13:00 / 5923. Complimentary colours for your personal information and the section headings catch the eye. Simple bullet list in each section offer a straightforward, no nonsense approach. Size: 183 B Downloads: 3278 Filename: career-starter.docx Uploaded: 2014-05-06 19:34:00 / 5714. Gray shading and colorful section headers give this contemporary resume a bold and confident air. Here, your skills, strengths, awards, achievements, and career highlights take center stage.

This resume lends a decisive and authoritative tone, while not being overbearing or fussy; it still allows your personality and background to shine. This is a perfect template for individuals seeking to change careers or industries, ex-military looking to enter the civilian workforce, and is the of liberty others who want to best books emphasise their talents and strengths, and not their previous job titles or employers. Size: 183 B Downloads: 40838 Filename: bulletin.docx Uploaded: 2014-05-08 18:20:00 / 6162. Standard Europass CV / Resume Template used in Europe. Size: 183 B Downloads: 30414 Filename: europass-cv-template.doc Uploaded: 2014-09-19 17:26:00 / 7451. Free Modern Resume templates that will get you noticed. Simple, elegant, discreetly modern, with a touch of color and creativity. Size: 183 B Downloads: 30382 Filename: discreetly-modern.docx Uploaded: 2014-09-19 17:09:00 / 7448. Very classy and professional full-page two-column sample. Lots of sections included for key skills, awards, and attributes. Red and on eternal is the of liberty blue titles add touch of colour.

Great example for those with substantial work experience. Size: 183 B Downloads: 12942 Filename: firm.docx Uploaded: 2014-05-08 16:48:00 / 6086. Two column layout for full page with sections styled into various columns. Books Writing? Light gray divider lines and red and blue titles. Stylish with a corporate feel for marketing director, senior VPs, and principal managers. Size: 183 B Downloads: 9120 Filename: aristocratic.docx Uploaded: 2014-05-08 17:05:00 / 6104. Two-column layout with profile photo. Brief Friendship? Large Awards section to best books for essay list your sales, academic, or artistic achievements. Compare And Contrast? Great sample for best for essay writing advertising, creative, sales, or communication professionals. Size: 183 B Downloads: 8430 Filename: award-winner.docx Uploaded: 2014-05-08 16:15:00 / 6062.

Traditional classic layout with a high-end executive feel. Great use of reflexive essay bordered headings, indented bullets and tabbed text to create an best books for essay writing elegant professional look. Size: 183 B Downloads: 7023 Filename: executive-elegant.docx Uploaded: 2014-05-06 11:47:00 / 4983. A round portrait option makes this sample a bit different. Then a strong opening statement in school compare essay, bold lettering is best for essay writing, great for impact, and papers makes the best books writing, reader want to find out more about you. At the essay international, end of the resume a simple scale allows you to give a snapshot of your levels of competence. Size: 183 B Downloads: 6913 Filename: bold-simplicity.docx Uploaded: 2014-05-06 11:32:00 / 4946. Two-column format used for the whole page offers lots of section areas. Best Books For Essay? Light grays for brief essay headers and dashed section dividers as well as shaded background to highlight key work experience.

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Die offizielle Vorstellung war ja erst vor ein paar Tagen. Lustigerweise kann man in Japan die Retail-Variante (also mit Schachtel, Lfter. und lngerer Garantie) billiger als die unverpackten CPUs kaufen. Die Preise liegen zwischen $320-$350. Der offizielle Preis von AMD liegt bei $420. AMD wird Vollmitglied des Global Consumer Advisory Board. Umgang mit Computern fr Privat- und kleinere Firmenkunden zu finden. Books. Nachdem AMD eine Zeitlang im Konsortium mitgearbeitet hat, gab das Unternehmen. jetzt die Vollmitgliedschaft bekannt. However, there is reflexive essay, a common trend that people are often perplexed by for essay writing the. complexities of essay culture international business, technology, said Mark Boleat, a consultant for consumer. issues and best, a board member of the homeschooling and contrast, National Consumer Council in best books the U.K.

I look forward to reflexive essay working with AMD and other board members to for essay writing see if we. can truly help consumers understand technology and its benefits. verbaut und ein Name fr die Chip-Serie ist auch schon gefunden - Xabre. Demonstriert wurde die Karte auf einem Pentium 4 1,8 GHz System mit SiS648 Chipsatz. (DDR400 - AGP 8x) und die Beobachter sprachen allgemein von einem Niveau auf Hhe. der GeForce4 MX440 oder Radeon 7500. Die Karten beherrschen ja den AGP 8x Modus und das soll laut SiS fr 10% Performance. Brief. gut sein, was im Umkehrschluss eine 10% niedrigere Performance auf Mainboards mit. Books For Essay Writing. AGP 4x Untersttzung schliessen lassen wrde. Essay Papers. Da noch immer zwischen AGP 2x und AGP 4x kaum ein Unterschied bei der Leistung zu. Books Writing. bemerken ist, scheint das etwas bertrieben zu sein. Vielleicht hat man fr diese Aussage einen Einzeltest aus dem 3DMark2001 zu Rate.

Der Chip soll bis jetzt mit 300 Spielen getestet worden sein. Narrative. Reviews und Kurzmeldungen. einfallen lassen. Einige Grabsteine auf Friedhfen in books Grobritannien wurden als. Die Idee dahinter: Bei ShadowMan 2 pendelt man zwischen dem Reich der Toten und. der realen Welt.

Athlon XP Prozessoren locked sind. D.h. Reflexive Essay. bei diesen CPUs will AMD die Dualprozessorfhigkeit abschalten. Books For Essay. Kauft ja sonst keiner die teueren MP-Versionen der CPUs. Wahrscheinlich werden auch hier einige Brcken durchtrennt. Genauso wie bei den L1-Brcken fr die Multiplikator-Einstellung, knnte man die. Brief Essay. natrlich wieder verbinden.

Mehr dazu findet man hier. HyperTransport: Hier wird ihnen geholfen. HyperTransport-Technologie fr ihre Produkte untersttzt. HyperTransport technology-enabled integrated circuits from the ground up. Best. By enabling HyperTransport interoperability and integration into reflexive essay, existing. technology, GDA helps companies lower their design costs, and deliver products. faster, said Richard Heye, vice president of best books for essay writing, Platform Engineering and Infrastructure. for business financial projections, AMD's Computation Products Group. Interview mit den Kreed-Entwicklern. Books For Essay Writing. ungarische Seite Hardwired hat den Chefentwickler von. What are Your opinions of the essay, GeForce 4? Did it become a better or worse product compared to best for essay writing its ancestor? Were You disappointed upon narrative papers, seeing its feature list or were You pleasantly surprised? GeForce4 is for essay, not the best solution for Kreed.

GeForce3 has may be more possibilities, than GF4 has. Right now we see, that the is the price of liberty, High-end maps ATI will be more attractive for books for essay, Kreed. Da hatte Dmitry in der aktuellen Ausgabe der Zeitschrift PCG Hardware noch noch. Essay Culture Business. keine so klare Meinung dazu. Books Writing. Besonders originell ist das Spielprinzip nicht, doch die Grafik schaut mit einer. DirectX 8 Karte schon ziemlich gut aus. Allerdings nur dort. Essay Papers. Entweder die Karte kann die Pixel-Shader-Effekte darstellen oder nicht. Alternative Darstellungsmglichkeiten der Effekte, wie bei AquaNox, kennt die. Engine nicht - zumindest bisher. Books For Essay Writing. Man beachte die Schatten auf dem Boden.

Gainward, bekannt fr besonders schnelle Modelle von nVidia-Grafikkarten, reicht. der 2,8 Ns schnelle Samsung Speicher der normalen GeForce4 Ti4600 Grafikkarte. Reflexive Essay. (Gainward Ultra/750XP) nicht und will dementsprechend was drauflegen. Sobald Speicher mit einer Zugriffszeit von 2,6 Ns verfgbar ist, will man den. For Essay Writing. Damit soll die Karte dann mit einem Speichertakt von 384 MHz (768 MHz) laufen. Schau ich mir die Roadmap an, die ich erhalten habe, wird das im Herbst keine. Of Liberty. besondere Erwhnung mehr wert sein. Don´t buy IBM hard drives. IBM hat wieder Qualittsprobleme mit einer ihrer Festplattenserien. Diesmal trifft es die Festplatten der GPX-Serie. InnoVision, bisher bekannt als Grafikkartenhersteller, bietet nun auch Mainboards an. Hier das Modell fr den Sockel A. Best Books For Essay. 3 Slots fr PC1600/PC2100 DDR-SDRAM. 2 ATA133 IDE-Kanle. 1 AGP 4x (AGP Pro) 1 SCR1 Slot (optional)

Ein Review gibt es auch schon dazu und zwar hier. Brief Essay Friendship. VIA und STM: Lieber Kooperation als Kauf. Books For Essay. als Kufer dieser Abteilung gehandelt. Jetzt wurde ein Statement von VIA bekannt, nachdem man lieber nur eine Lizenz. Brief Friendship. ATI auf der CeBIT. Books For Essay Writing. die teilweise sehr kreativen Produktbezeichnungen freut man sich weniger. Falls auf der Verpackung Powered by ATI steht, drfen nur entweder eine. Radeon 8500 mit 275/275 MHz oder eine Radeon 8500 LE mit 250/250 MHz drin sein. Die Ankndigung von ATI, keine XT-Variante auf der Messe zu zeigen, kmmert. Firmen wie PowerColor wenig.

Hier werden am Stand sogar handverlesene Karten mit 300/300 MHz gezeigt. Essay Narrative. Ob die so in den Handel gelangen, ist natrlich eine andere Frage. Mehr dazu findet man hier. Und Soyo reiht sich nun auch in best for essay writing die Riege der Anbieter ein, wie hier zu erfahren ist. Lustigerweise befinden sich die Stnde von nVidia und ATI direkt nebeneinander. Einen unterhaltsamen Beitrag dazu findet man bei Heise. Satte 128MB Speicher wird die Karte dann haben, aber interessanter drfte die. Takterhhung sein. Reflexive Essay. Mit 275MHz fr GPU und Speicher soll das Multimedia-Wunder Diese Karte wird scheinbar in books for essay writing Nordamerika in brief essay Zusammenarbeit mit Compaq bereits. angeboten. Writing. Ob hierzulande Hercules ebenfalls diese Karte anbieten wird bzw. die.

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Nach und nach werden die Hammer-CPUs den Athlon XP ablsen und dementsprechend. werden sich auch die Preise angleichen. Stromsparmechanismen wird beim ClawHammer nicht geben. Die gibt es erst 2003. bei einer Version fr Notebooks, aber eine Temperatursonde im Chip, die bei zu. hoher Temperatur die Notbremse zieht, wird diesmal eingebaut. Na, vielleicht gelingt es Tom´s Hardware diese CPUs doch zu grillen - wer wei. scherzhaft CeBIT Oscar genannt. Den bekam AMD nmlich fr ihre nchste Prozessor- generation, den Hammer. Books For Essay Writing. Von den Zeitschriften Chip, PC Professionell und der PC Direkt wurde AMD mit.

folgenden Auszeichnungen bedacht: Innovation of the essay papers, Year 2001/2002 (AMD Athlon(tm) XP) Manufacturer of the best writing, Year 2001/2002 Das zumindest mein The Inquirer und prsentiert auch gleich ein Bild des Prototyps. Preis auf unter 100 US-Dollar gedrckt werden. und eine oder andere Entwickler war ber die Spezifikationen thrilled to bits, wie die Seite zu berichten wute. Stillstand oder Fortschritt? fr die Radeon-Grafikkartenserie. Zeit also, einmal zu berprfen welche Entwicklung. die Treiber im Laufe der Zeit nahmen und ob man die neuesten Treiber auch guten. And Public. Gewissens fr die lteren Radeon Grafikkarten der R100-Serie (Radeon I) empfehlen kann.

Schon in books einer Auflsung von 800x600 kann die Qualitt durchaus berzeugen. Reviews und Kurzmeldungen. Die Version 4.10b soll die Performance unter Windows XP verbessern. CeBIT zum Wochenende. Core (0,13µm) und einer Taktrate von 2,2 GHz (2800+) demonstrierte. Ich halte diese Taktrate zu diesem Zeitpunkt fr unrealistisch - sollten da ein. Essay. paar Besucher auf die Seite gelockt werden? Auf einigen verschwommenen Bildern wird der Prozessor auch gezeigt, aber ob das. wirklich ein XP 2800+ war? Ihr knnt euch den neuen Prozessor und einen herkmmlichen Athlon XP hier anschauen.

Club 3D gibt Spezifikationen ihrer R250 Grafikkarten bekannt. gezeigt. Demnach sind zwei Grafikkarten mit dem R250 Chip geplant. Radeon 8700 mit 350 MHz GPU-Takt und 64 MB DDR-SDRAM mit einer Taktrate von 275 MHz. Daneben ist auch ein weiteres Modell mit dem R200 Chip geplant - 250/250 MHz und. 128 MB Speicher. Ob das nun die offiziellen Spezifikationen der Radeon 8500 Nachfolger sind, oder. nur die Daten der von Club 3D vertriebenen Grafikkarten ist schwer zu sagen. Best Books. Langsam kocht jeder Hersteller sein eigenes Sppchen, wie die vorlufigen Spezifikationen. Reflexive Essay. der Radeon 8500 Ultra (XT Modell) von PowerColor zeigen. Hier wird wohl die GPU mit 275 MHz und der Speicher mit 300 MHz (3,3 Ns) getaktet. Best For Essay Writing. werden. Andere Hersteller wollen ja die Karten mit 300/300 MHz takten.

Leadtek baut wieder Mainboards. Essay. In letzter Zeit war die Firma nur mit ihren Grafikkarten bekannt geworden, nun baut. der Mainboardhersteller Leadtek zur Abwechslung auch mal wieder Mainboards. Neben den Pentium 4 Boards, werden auch zwei Boards fr den Sockel A erscheinen. Auf den WinFast K7N620D und WinFast K7N615D Boards werden die neuesten Versionen. Books For Essay Writing. des nForce-Chipsatzes 620-D und 615-D von nVidia verbaut werden. Die Chipstze knnen ja mit DDR333-Speicher-Chips umgehen und knnen und auch DDR400- Das Zweikanal-Speicher-Interface wird, wie bei den am Markt befindlichen nForce- Chipstzen, uns weiterhin erhalten bleiben. Dadurch will nVidia die Performancekrone auch bei den Mainboards zurckerobern. Laut Leadtek sollen Samples der beiden Boards in wenigen Wochen zur Verfgung stehen. Business Financial. Was die Firma sonst noch zeigte, sagt uns Heise. Books For Essay Writing. SiS336 - geht es der GeForce4-Serie an essay den Kragen? ihre neue SiS33x-Serie.

Bildquelle: Chip online. So, oder so hnlich soll das Gegenstck zu nVidias GeForce4-Serie von SiS ausschauen. An den 3D-Features der SiS33x-Serie soll es nicht mangeln, wie diese Aufstellung. SiS Pixelizer (Hardware-Pixelshader) DirectX-8.1-kompatibel (Volume Texture, Bump Mapping, Cubic Mapping, Shadow Mapping) Hyper FSAA (Full-Scene Anti-Aliasing) De-Interlacing und MPEG-Beschleunigung. maximal 128 MByte DDR-Speicher. Books. Dual Display (mit SIS301B-Video-Bridge) treten lassen, doch die GeForce4 MX-Serie und ATIs Radeon 7500 hat man schon im.

Visier und bei den geplanten Produkten bzw. ihren Spezifikationen scheint das nicht. Essay. Spitzenmodelle sind also die Karten mit SiS336 GPU und 128MB DDR-Speicher mit einer. Books Writing. Zugriffszeit von 3,3 Ns. Essay. Die GPU des Referenboard ist mit 300 MHz getaktet, der Speicher mit 275 MHz, obwohl. hier theoretisch 300 MHz mglich wren. Books. Nun, Papier ist gedultig und der Balken htte etwas niedriger ausfallen knnen - bei 8% Performancevorsprung. Auch wird man reale Benchmarks abwarten mssen. Business. Das eine oder andere Treiberproblem haben SiS-Karten auch, doch ist ein Anfang. Best Books Writing. gemacht. Firmen wie VIA und SiS werden traditionellen Grafik-Chip-Entwicklern wie. nVidia und ATI Konkurrenz machen. Plan. Im Gegenzug wildern diese im Markt der Chipsatz- entwickler, doch scheint mir die Ausgangssituation von VIA und SiS besser zu sein. Best Books. Zeit hat Produkte zu entwickeln und genug Geld um Know-How einzukaufen und am Markt. lange genug zu bestehen, wird man auch Marktanteile gewinnen knnen.

SiS ist fr ihre aggressive Preispolitik bekannt und hnlich wie VIA, erzielt man. solide Gewinne aus dem Chipsatzgeschft. Essay Friendship. Sollte man es schaffen, eine DirectX-kompatible Einsteigerkarte fr unter 100 Euro. anzubieten und eine kontinuierliche Treiberentwicklung unter strickter Einhaltung. der Grafikstandards zu verwirklichen, drfte es nur eine Frage der Zeit sein, bis sich. SiS als ernstzunehmender Konkurrent etablieren kann. Books. Weitere Infos findet man bei Chip online. CPU-Wasserkhlung direkt auf dem Chip. normalen CPU-Sockel passt.

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48fach-CD-Brenner (SW-248), sowie die DVD/CD-RW-Kombilaufwerke SM-316, SM-332. Reviews und Kurzmeldungen. Books For Essay. zuknftigen Chipstzen fr die Sockel A Plattform und zeigte die zwei Neuen in. Essay Narrative Papers. der Halle 19 C13 bei der Arbeit. Die nForce 620-D und nForce 615-D Chipstze untersttzen offiziell DDR333 Speicher, wobei bereits DDR400 Speicher erfolgreich getestet wurde. Die Bezeichnung der Chipstze deutet bereits daraufhin, dass es einen Typ mit. integrierter Grafik (620-D) und einen ohne Grafik-Core (615-D) geben wird. Auffallend ist, dass in der Mitteilung nur von einem GeForce2 Grafik-Core gesprochen. Best Books Writing. wird. Business Plan Projections. Es wurde ber ein verbessertes Grafik-Core auf Basis der GeForce4 MX. Mainboards sollen von Asus, Leadtek und MSI im zweiten Quartal 2002 vorgestellt werden. Letzte Zahlen zu AMDs Marktanteil. Best. sich auf das vierte Quartal 2001. Deswegen mu man die Zahlen mit einiger Zurckhaltung interpretieren. Westeuropa lag der Anteil bei 41 Prozent.

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Vier Athlon MPs in einem Server. es geschafft hat, vier Athlon MP Prozessoren in for essay ein 1U Server-Rack unterzubringen. und zur Zusammenarbeit zu bewegen. a. Essay. 4 CPUs in 1U form factor. Books For Essay. b. Brief Essay Friendship. Can rack up to best 168 MP 2000 Athlon CPUs in a 42U rack. c. Achieves the culture international, highest processing density among all currently available rackmount servers. a. Cuts deployment time in half (reduced handling, lower weight than comparable two. 1U dual AMD servers) a. Withstands ambient temperature in excess of 90°F. Best. Neue Southbridge von SiS angekndigt. SiS962 angekndigt hat. Sie soll 6 USB 2.0 Ports, MuTIOL Busverbindung zur Northbridge, ATA-133, IEEE 1394a, LAN, Sound und Modemfunktionalitt haben. PCI-Grafikkarte mit GeForce4 MX Chip. des GeForce4 MX 420 Chips eine Grafikkarte fr den PCI-Bus vorstellen. Die Karte arbeitet mit einem GPU-Takt von 250 MHz und der 64 MB groe SDRAM Speicher. wird mit 166 MHz getaktet. Essay. TV-Out soll die Karte ebenfalls besitzen und nicht mehr als 150 Euro kosten.

Mehr dazu gibt es hier. GeForce4 Ti 4600 Grafikkarten passen nicht in den AGP-Slot. Karten gehuft auf. Das Problem: Die Karten sind so gro, dass sie mit einigen Kondensatoren und. IDE-Steckpfosten bzw. For Essay Writing. den Kabeln kollidieren und mechanisch nur schlecht bzw. Papers. gar nicht in den AGP-Slot passen. Eine Diskussion darber findet hier statt. Best Writing. Wie lief der Verkaufsstart der Xbox? sagte Petra Woitkowski von einem Dortmunder Pro Markt. Der Nachrichtenagentur dpa zufolge, herrschte bei den Saturn- und Media-Mrkten eine rege Nachfrage.

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Da wre einmal der Athlon XP 2100+ mit 1733 MHz Taktfrequenz, der AMD Athlon MP 2000. fr Server und Workstations und last but not least der AMD Athlon 4 1600 fr Notebooks. Reflexive Essay. es Zeit fr den Umstieg auf das Thoroughbred-Core (0,13µm Fertigung) wird, wobei. Books. wir schon beim nchsten Thema angelang wren. man werde dann AMD-Athlon-XP-Prozessoren mit dem Codenamen Thoroughbred ausliefern. Von der Einfhrung der 0,13-Mikron-Prozesstechnologie erwartet AMD eine verbesserte. And Contrast Essay. Leistung, geringeren Stromverbrauch und eine verminderte Kerngrsse (Die) seiner. the 80mm2 'Thoroughbred' die. is best books for essay, approximately 38 percent smaller than the current AMD Athlon XP processor on. .18 process technology. be produced on .13 micron technology. AMD also expects to culture international begin shipping its. next-generation processor codenamed Hammer, which uses a silicon-on-insulator (SOI) version of the writing, .13 micron technology, at business projections, the end of the year. Best For Essay. Hinter verschlossenen Tren. Brief Friendship. mit den Prototypen des K8 (Hammer), diesmal ohne Intel-Jingle auf dem Mainboard und. gottlob ohne Abstrze. Best Writing. Zwar machte AMD keine Angaben zur Taktfrequenz der neuen 64-Bit-CPUs,

doch konkurrenzfhig zu den anderen 64-Bit-CPUs am Markt wolle AMD schon sein. Essay International. ber die Performance gab man sich schon optimistischer - 25% schneller als ein. gleichgetaktetet Athlon XP sollen die CPUs sein. Best Books For Essay. Na da kann man doch bei einer Taktsteigerung von 33 MHz schon einen 100er Schritt. Essay. bei der Modellbezeichnung rechtfertigen;-) Und dabei ist die PR-Abteilung von Intel schon jetzt am Rande eines Nerven- Eine radikale Methode zur Khlkrpermontage war auch schon zu sehen und gleichzeitig. soll hiermit das leidige Thema Khlermontage bei AMD-Prozessoren der Vergangenheit. angehren. Books For Essay. Endgltig ist die gezeigte Lsung von AMD noch nicht, zeigt aber das. Konzept schon recht deutlich. A3 und A4 in fnf Varianten. Auf jeden Fall geht es hierbei nicht um die bekannten Automodelle, sondern um fnf. Varianten der Chipste von Grafikspezialist ATI. Reflexive Essay. So kann man davon sprechen, dass das kanadische Unternehmen ein komplette Linie. an Chipstzen mit integrierter Grafik vorgestellt hat.

Dabei werden zuknftige. Best For Essay Writing. Pentium-4-Versionen ebenso untersttzt, wie Athlon 4 CPUs fr Notebooks. Eine Zusammenfassung darber findet ihr hier. Culture. Abit lsst einiges weg und packt dafr einiges drauf. For Essay. Dieses Mainboard mit dem VIA KT333 hat nmlich keine PS/2-, parallel- und RS-232- Anschlsse mehr, dafr werden sechs USB-, zwei FireWire, ein 10/100-MBit-LAN, zwei optische und sechs Audioanschlsse verbaut werden. Einige der USB-Anschlsse untersttzen den neuen USB-2.0-Standard. Essay Is The. (Type I), SmartMedia- und Sonys MemoryStick-Speicherkarten, sowie einen IDE-RAID- Chip Highpoint HPT374 mit vier IDE-Kanlen. Best. Insgesamt stehen so sechs IDE-Kanle. fr zwlft Gerte zur Verfgung.

Mehr dazu findet man bei Heise. Business. Wasserkhler aus Kfz-Teilen. Der Voll-Kupfer-Khlkrper wird von S-Kanlen auf zwei Ebenen durchzogen und wie. schon einige Bastler vorher, verwendet die Firma hauptschlich Teile aus dem. Best Writing. Kfz-Bereich um diese Khlung zu verwirklichen. Mehr dazu findet ihr hier. PowerVR Technologies die Katze aus dem Sack. And Public School Compare Essay. Im Gegensatz zum nahezu identischen Vorgnger Kyro II wird der neue Chip lediglich mit 200 statt 175 MHz getaktet. Und damit ist der Schwachpunkt auch schon angedeutet - kein TL in Hardware. Erste Meldungen im Internet meinten ja, dass der Chip eine TL-Engine haben wrde.

Na ja, irgendwie schon, denn PowerVR versucht mit einer neuen Version ihres Grafik- kartentreibers eine eigene Software-TL-Engine EnTL zu verwiklichen. Sie soll die Standard-Software-TL-Emulation von Direct3D ersetzen und zwischen 15 und 20% hhere Leistung im 3DMark2002 ermglichen (und vermutlich auch nur dort). Books. Chip kein groer Erfolg beschieden sein. Also warten wir lieber auf den Kyro III von VIA? PC-Card-Grafikkarte mit DVI-I-Anschluss von Villagetronic. den PC-Card-Slot an Notebooks nutzt. Als Grafik-Chip wurde ein mit 200 MHz ge- takteter Trident CyberBlade XP2 verwendet. Ihm stehen 32 MB DDR-Speicher, Taktrate 166 MHz (333 DDR) zur Seite. Mehr dazu findet man hier. Brief Essay. Unter 25 Euro ist da nichts zu bekommen und von den 69 Euro fr die Spiele wollen wir erst gar nicht reden.

Das hlt aber die PR-Abteilung von MS nicht davon ab, die Vorzge der Konsole zu loben. Compaq, nVidia und AMD. nVidias nForce-Chipsatz anbieten. Es handelt sich dabei um Boards mit dem nForce 420D, also mit integrierter Grafik. Erhltlich sind diese Rechner mit der ganzen Palette an AMD Athlon XP Prozessoren - Reviews und Kurzmeldungen. Texte, Termine, Informationen und Bilder lassen sich mit der kostenlosen Datenbank. MD Notes verwalten.

Die Gre der Datenstze kann maximal zwei MB betragen und. Best For Essay Writing. mit Hilfe von Suchfunktionen lassen sich gezielt Informationen aus der Datenbank herausfiltern.. Brief. gepostet. Nur das diese Version endlich AMD-optimiert ist, war mir entgangen. Zudem wurde in Zusammenarbeit mit AMD der Codec fr Athlon-Prozessoren optimiert, so dass bis zu 20 Prozent mehr Leistung beim Encodieren und Decodieren mglich. Neues von Unreal 2. Best Writing. von Epic Games gefhrt und selbstverstndlich ging es hauptschlich um die diversen. neuen Spiele mit der Unreal-Engine. Unreal 2 erscheint zu Weihnachten 2002.

Es wird eine spielbare Demo geben. Der von einigen Seiten verwendete Unreal Performance Test (UPT) wird nicht der. On Eternal Vigilance Is The Price Of Liberty. ffentlichkeit zur Verfgung gestellt. In irgendeiner Form soll er aber im Spiel (Unreal 2) selber sein. 3D Labs komplett aufgekauft. Nachdem sich 3D Labs vom Desktopmarkt zurckgezogen hatte (damals noch mit Permedia- Grafikchips), lag der Schwerpunkt auf professionellen OpenGL-Beschleunigern. Chipentwickler auf dem Desktopmarkt mitmischen? roadmap, we believe that their development of a scalable architecture and for essay, general. Essay Papers. purpose programmability will provide a significant competitive advantage in. the graphics space.” grows, we see great opportunities to books for essay writing expand 3Dlabs’ leadership in the ultra. high-end professional markets into our higher volume PC consumer desktop markets. Essay On Eternal Is The. denn die aktuellen Produkte sind nicht fr Zocker ausgelegt und wie dieser. Vergleich bei Ace´s Hardware zeigt, ist mit diesen Karten noch kein Blumentopf zu gewinnen. OPTIMUS 8500 eXP.

Die Karte ist nichts anderes als eine Radeon 8500 XT mit 128MB 3,3 Ns Speicher. und Taktraten von 300/300 MHz. Best Writing. Hier die Produktseite bei Unitech. In Deutschland sind die Produkte noch nicht erhltlich. Essay On Eternal Of Liberty. EAX3 optimierte Games. Best For Essay. Z.B. And Public School Compare And Contrast Essay. untersttzen diese Spiele, per Patch oder von Haus aus, den neuen EAX3. For Essay. Standard (EAX Advanced HD Technologie): MadOnions neuer Benchmark. Der PCMark2002 hat in etwa den Umfang von SiSoft Sandra. Business Plan Financial. Testet also das gesamte System. Reviews und Kurzmeldungen. Best. Das A7V333 mit KT333-Chipsatz soll die Athlon XP Prozessoren mittels ASUS' C.O.P.- und Q-Fan-Technik vor einem mglichen Hitzetod bewahren.

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construct resume job Exact circle division by five #151; how to draw the perfect five point star. What Natural (whole) numbers divide a circle exactly? Meet the perfect all-star families. Construct the books for essay writing real and the virtual shapes #151; and take them to 3D.

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What you pick #151; large or small #151; will be a rational and therefore an exact measure. tell the diff between a pentacle and a pentagram and why there are several pentacles. determine the inside and outside angles of a pentagram. find the homeschooling and public golden proportions that are inherent in a penta. star and grow them, too.

make a five-point star indirectly via pentagon tiling #151; and vice versa. create fancy five pointed stars plus a ten pointed hyperstar from a half-square rectangle (in a new tab) get the only harmonious ten pointed star of a decagram by always skipping 6 points. design 5 point stars as art forms #151; inherit the energies if you stick to nature. combine the best up and international business down pointing pentacles into a brand new hyperstar. On five circles. You'll be in the micro but this is huge. W hat does it mean if a pentagram is encircled once or twice #151; a star is on a single circle or in-between of for essay writing two concentric circles. built from friendship, interlocking rings.

S ymmetry in a five pointed star #151; there are several kinds of symmetry and best for essay .. .. A perfect three pointed star can be had on a circle or semicircle #151; and it's doubled for a regular six-point star or a hexagon already. You could divide a circle by 3 exactly but a general 3-way division applicable to universe building and traveling can also be had. Hexagon and hexagram stars are behind viruses. A perfect square is a four pointed star.

A n eight pointed star and a twelve pointed star share the same construction. B oth stars are perfect and both take you beyond counting as well. 16 and 24 pointed stars also share the same construction. Just as the eight and 12 pointed stars, they are in the 3:2 musical ratio and because the growth of stars in this ratio is unbounded we have a separate page on narrative that (in a new tab) H ow many perfect stars can you make with geometry?

With arithmetic? Number 36 is (abundantly) divisible by 2, 3, 4, 6, 9, 12, and 18 #150; yet, you cannot make a perfect 36 pointed star. Geometry vs. Best For Essay? Arithmetic is reflexive essay, a very old topic, very unresolved, and very relevant; and. Numbers are not just symbols. In a circle they make 1 ) stars on paper and 2 ) atoms in books for essay, space. A comment on a seven pointed star (heptagon). Hit a snag in a circle, but .. P entagon Pyramid . Fusion of numbers in three dimensions is culture, good but it is best for essay, not about averaging. T he four sided Great Pyramid construction is via the essay narrative golden proportion and has its own page (in a new tab) A five pointed star just for kids.

If you can tell time you can sketch this and other stars by hand. Books For Essay? Oh, use the free template below at first. I'm the author of the illustration above but this one is freed from copyright. (With the Chrome browser you can drag-and-drop this illustration onto your desktop as the .gif file.) Have a look at some pics from the stone circle at Avebury in Wiltshire, UK. Draw a star, any perfect star.

Can you see how you could lay out and sketch several stars using but one construct from the clock's minutes? You probably haven't heard the word 'a construct,' but a template is usually just for tracing and copying. Can you join the reflexive essay points by skipping some? Odd and best writing even number of points makes a big difference. Essay Culture? Here are the from-the-ground-up geometric constructions of eight and 16 point stars of best writing a compass rose. [ Now, can you imagine making ALL perfect polygons and stars in on eternal price of liberty, the above 60 pt construct? If each point were to glow differently for books for essay, each star, would you get a cool and unique pattern I could lock on to half way across the galaxy? Oh, you make it glow by having each point a semiconductor junction, similar to an LED.

For the junction you need an amorphous substrate and a crystaline piece of brief friendship a rock. Because you want to best books writing, power up the whole circle, your power source is a bit more than just a single lay line. Except, how would you stop the primitives on essay is the the planet from messing with the books for essay writing stones? Yeah, it is all sacred feminine kind of stuff. If that doesn't work, cover the whole thing with soil a call it an essay culture ancient sacred burial mound.] Historically, geometric drawing of a pentagram star was considered a secret. One can appreciate keeping the formula and directions secret because the construction of a five-point star is best books for essay writing, not obvious even if you worked in geometry for compare and contrast, some time. Books? Yet, if you could draw the perfect star only brief friendship, through geometry, the secrecy takes on extra dimensions. To draw a (regular) pentagon, the segment must be exactly one fifth going around the circle. Stars are pretty and writing circles are everywhere, yet there is but slowly growing understanding of stars and circles. (This is not the vigilance price of liberty case in best, China, for reflexive essay, the Taoist movement and Taoist philosophy can be said to issue from best, a circle.) A circle gap exists not because we've lost our compass or a desire to admire crop circles, but it is because a circle is frowned upon by the Catholic Church and because the reductionists of the 20th Century lost the link to the source of a 0D point. With it, we also lost great things that the dimension zero brings to the table.

So there is a book coming out late 2013 resurrecting a circle as well as the stars that are the dimension zero's first application. Oh, 99% of all moving energy in the universe is in spin and orbits. Not only that. If you want to build something that doesn't just fly away, you have to do it in a circle (you cannot build an brief friendship atom or a planetary system as a static entity). Going through external edits, the working title of the book is ' Stars and Rings .' No whole number can divide a circle exactly arithmetically but some whole numbers can divide a circle exactly geometrically. This is the first differentiator between geometry and arithmetic.

When it comes to dividing a circle's circumference (or area) with a straightedge and compass, we always strive for the exact division. The perfection is books for essay writing, not about some quirky obsessions of ancient Greeks and today's teachers, however. If we finish our assignment in homeschooling and public school and contrast essay, a finite number of steps and achieve an exact division, we would then claim executability and creation of such structures could be implemented in nature. Books For Essay Writing? Computer's arithmetic gives us precise #151; but not exact #151; answers when working with incommensurable (irrational and transcendental) numbers, but the geometric way can be exact and have much utility just because of that. We will apply the friendship division of a circle in the atomic construction below. Yes, the exact construction is books writing, about the narrative papers (exact) conservation of energy. If the length of a circle's straight segment (cord) is exact, then the for essay segment's length is unambiguous and can be expressed as a finite number. A finite number is business plan financial, also a rational number. Best? If the cord's length were an irrational number then such number's sub-unity portion (mantissa) is infinite and essay vigilance is the price we could not agree on its exact length #151; but we could agree on books for essay writing the exact distance between the essay international two end points because the two end points can be constructed exactly geometrically. Irrational numbers are executable (or expressible) geometrically but not arithmetically.

This is the second differentiator between geometry and arithmetic. Books? You might skip on the diff between length and distance right now #151; later you may avail to the explanation and construction of the incommensurable numbers (irrationals and transcendentals). Instructions on geometric division of a circle into five equal and exact parts #151; in five steps: If you want to construct the penta. with a circle radius of your choice , point A is one unit distance (one-half of the radius) away from origin O . When you divide a circle into exact fifths along the periphery you now have the template and school : Finish the pentagon by connecting every neighboring point and erase the circle. Inscribe it counterclockwise if you want to be disharmonious (ratio 9:5), clockwise if harmonious (6:5). (Cw and books writing ccw makes a big difference #151; think enhanced modulo math.

Ccw is acw for the Brits.) Make the pentacle by connecting every other (second) point. If you do it counter-clockwise, you will be doing it in the 8:5 ratio, which is reflexive essay, harmonious, and you should not have a problem with that once you understand that the underlying pattern mechanics are clockwise #151; it's on the Venus page. Pentacle is the easiest and the simplest to do because it does not require erasing. Does it mean it is the most fundamental? Complete the pentagram from pentacle by best for essay writing erasing the price circle. Make the best writing five pointed star from pentagram by essay narrative erasing the inside (smaller, upside down) pentagon. Best Books For Essay? Also see pentagon tiling, further on. The unit distance u is the shortest distance used in construction of a particular star. All other parameters (radius/radii, cord) are then calculated in terms of u . This is new . All formulas for stars should be computed from the unit distance and not from, say, a radius because there are star constructions that use several circles. In our example, the equation for the length of the cord c in the above construction comes from two Pythagorean relations and is quite involved:

In either case, you can now substitute any distance for u and essay narrative get the measures of the rest of star's parameters. There is more to this. Geometrically, the square root of five, for example, can be of any length and this length issues from the unit distance used in the construction of the SQRT(5). When working the pyramid you first have to find the unit distance before making sense of the rest of the best for essay writing (micro and/or macro) proportions. Polygons and stars.

gon identifies the point connections that go straight from one point to the nearest next point on brief essay a single circle #151; poly gon in general. When you say regular polygon you are emphasizing that all segments span the same distance and best books for essay writing all points are on one circle. Essay Culture International Business? Stars do not have to take a straight path from one point to the next and do not all have to be on but one circle. The star's points could be connected by a curve or a kink line or the connections just skip one or more points. As you go around the center from one point to the next, you might keep turning in but one direction and then the star is said to be convex. Regular polygons are always convex. Sometimes the points move inbound and out, particularly with multiple circles holding the points, and you keep turning left and books writing right when moving from point to point. In such case the star is said to business plan financial projections, be concave. Best Books For Essay Writing? This is how things stood until our hyperstar, which has groups of reflexive essay three points lined up straight (and there are no turns).

The hyperstar is discussed in the right column. The hyperstar is not regular. All points of all regular stars and polygons are on a circle and are equally -- that is evenly, and exactly spaced going around the circle. The best way of seeing it is that they have the books writing exact fraction of a circle between them. However, only some stars are constructible exactly #151; see Perfect Families.

As to homeschooling and public compare and contrast essay, the actual angles between points #151; see below, for these angles could be irrational numbers. (For now, ask yourself if a protractor can give you any irrational angle.) Having said all that about polygons and stars, don't get hung up on technicalities. A star is such a pretty word (and polygon such an ugly one), that using a star for both is books for essay writing, just fine. Some say 'twelve sided' when talking about a polygon and 'twelve pointed' when talking about culture international business, a star. If there is a section of a circle with a start and a stop, such as when speaking of the Signs of the Zodiac, 'twelve sided' makes more sense. If you read other things about geometric stars, don't get derailed by mainstream math classification of stars. Scientists do not take into best writing, account the cw or ccw star creation, likely because the mainstream does not know the applications difference between the two. (Harmony-disharmony enters here but there is more to it besides cw or ccw.) Also, math guys presently keep one point fixed and the other point advancing cw in essay culture international, a circle by best books for essay a certain number of steps to make the next point of a star. But of course, mainstream scientists are in the Dark Ages thinking there is a fixed reference point.

The Quantum Pythagoreans book gives all planets orbiting frequencies from which the stars are made and, gee, the Earth is plan financial projections, orbiting while the cw or ccw point-to-point trace arises mathematically from for essay, that. Mainstream math guys' definition of a star is that you can see all parts of a star from its center. Essay Vigilance Of Liberty? This is a great example of a definition of best books writing arm chair convenience because the Venus-Earth interplay makes a cool curlicue between points of a five pointed pentacle star and brief essay this does not match the scientists' definition of a star #151; so here is ours. Why should a circle division be made of equal (evenly distanced) segments? There is best books for essay, nothing wrong with unequal lengths if that's your fancy and there could be a really good reason with a heptagon (see below).

However, an electron's wavelength is proportional to the electron's energy and if several wavelengths of is the one electron were to fit (were to close) around the nucleus then they have to do so in whole multiples of the same distance. It's about the books for essay writing numbers (in a circle). There are many geometric ways of constructing pentagon or pentagram patterns and symbols. The construction presented here has the length of the side of the pentagon c the incommensurable (irrational) distance #151; that is, the measure of the side's distance is composed of an international business infinite number of digits (that do not repeat individually or as a group). Other constructions make the books for essay side c a rational distance, which is better suited for the Great Pyramid's purposes. In the and public school compare pyramid, one half of the best writing side of the plan financial base is books, (must be) a rational unit of measure, for such measure is school and contrast essay, executable and can become. (For transcendentals you may have to put a kink in that.) The connection between the books writing five sided pentagon/pentagram and the four sided Great Pyramid is through the golden proportion , a subject that lets you understand how to draw and construct the Great Pyramid, and include the pinch on its side. Angles in a five p ointed star and how they relate to the golden proportion. Determination of pentagram's angles is easy #151; on reflexive essay the interior or the exterior. Best For Essay Writing? First, if (any) two angles have their arms intersecting at business financial 90 degrees then the two angles are the same. The central (Egyptian) star below has 360/5=72 degrees between its arms. For Essay? Because the arms (rays, spikes) of this star are at right angles to other angles then such angles are also 72 degrees.

You will get to reflexive essay, 108? angle inside the pentagon with the subtraction of the 72? angle from 180? (from a straight line). You will note two special triangles on the pentagram when making design extensions to the sides (below). One has the best books for essay writing interior angles of 72, 72, and 36 degrees while the second one's angles are 36, 36, and 108 degrees. Both of these triangles are golden because their sides are in the golden proportion. Papers? There are many other golden proportions on the pentagram but these two kinds of best books for essay writing triangles are important in the micro (atomic) domain, particularly as related to orbital jumps. In multiples of one tenth of school and contrast essay a circle. All angles internal and external to the pentagram or the five pointed star are in multiples of 1/10 of a circle: from 36? on to 72?, 108?, 144?, 180? . Books For Essay Writing? 324?, 360?. A circle can be divided by essay narrative papers 10 exactly and so all angles in and around a pentagram are exact and perfect. A pentagram, aka pentalpha, is a prominent symbol of the Pythagoreans. It is said the pentagram is good for one's health, and there could be something to it considering the golden proportions that are all over for essay writing the star.

I think it is school and contrast essay, also likely the pentagram's prominence is due to having an best for essay abundance of the essay culture international number 10 while adding a circular aspect to the many number 10 aspects of the Pythagorean Tetractys. For Essay Writing? The number 10 is also fundamental in designs of obelisks, including the Washington Monument. Self-test:-) If you think an obelisk is a phallic symbol then you've just begun. The angle of reflexive essay 144? seems obscure (it's on the outside of the for essay star) but it's the only angle you'll need if you want to draw a pentagram with a computer program the essay international business likes of books 'Turtle,' 'Scratch,' or 'Logo.' The program would run like this (in pseudocode): Move 100 pixels [forward] If these computer instructions do not mean much to you, you are doing well. First you want to create the geometric foundation #151; yes, in your mind, before resorting to a computer. The golden proportion consists of two numbers that at times relate through a ratio, in which case we speak of the golden ratio.

The two golden numbers consist of one irrational number a that is ( 1 + SQRT(5) ) and one rational number b that is 2 and, because these two numbers may relate to each other through multiplication or division or addition or subtraction or. Reflexive Essay? they should not be reduced into a single number. Reduction into a single number severely limits the application of the golden proportion and best for essay writing that is one reason scientists like to reduce it as the Phi [scientists have reductionist tendencies #150; perhaps not a disease but it could be a handicap]. Reflexive Essay? Reduction into best for essay writing, one number hides other relationships the two golden numbers might have. The golden spiral. Golden spiraling happens naturally in 2D or 3D as you observe the golden proportions and figure out reflexive essay, how you could grow them. Fancy math will give you a smooth spiral but if you stick to the golden proportion you will be going in discrete steps. (You'll need to understand why staying with the golden steps is superior to best books, smooth fancy math. It has nothing to do with efficient packing of seeds/objects, and you just might see the quantum effects on the macro scale.) Once you start putting the golden proportions in the circular format, mathematically you'll be working the point/radial symmetry while entering a new area of endeavor. Also known in general as tessellations, doing it in reflexive essay, 5-fold rotational symmetry is books writing, favorite of friendship Dürer, Kepler, Penrose.. Best Writing? .. All pieces that make up sets for the five-fold 2D tiling have their angles in multiples of business plan financial projections 1/10 of a circle . The multiples of 1/10 of a circle construct the shapes of diamonds, pentagons, ships, kites, darts, or double-decagons. A fancy Ninja star design on left also has all of its angles in tenths of a circle.

The hyperstar goes even further using an exact division of a circle while providing constructs for orbital jumps. There is yet another (and last) golden triangle and best books that one does not appear on a pentagram. It has a right angle and its hypotenuse with the shortest side are also in the golden proportion. This triangle is one-half of the reflexive essay Great Pyramid going across the mid face and into the center of the base. You can see it below on our Golden Eye design. Pentagon Dimension Priority : Diameter Dim or Point-to-point Length Dim. There is best books writing, a dual approach to a geometric pentagon star construction. You can either specify the diameter of a circle that will place all points, or the length of a pentagon's side that specifies the culture distance between points. In either case you start the construction with the shortest unit length of 1 . For Essay? On this page we show two constructions with Diameter dimension priority and in both examples the diameter ends up 4 units long (radius of 2).

This means you can construct a star with a circle diameter of your choice because there is the exact 1:4 relationship (scale) between the unit length you started with and the diameter of the pentagon's circle. In the case of a point-to-point Length dimension priority, or side Length priority, you start the golden proportion construction with the unit length of 1 . When finished, the business financial pentagon will scale to the side length of best books 2 . Pentagon construction with side Length priority has the exact side of reflexive essay your choice and is on for essay the golden proportion page. A circle has many positive connotations. What would be the on eternal vigilance is the price idea of dividing it? Once you know what numbers can divide a circle, you can then build a circle. Not [yet] from real things such as wood or metal but from waves. It turns out that the waves must have a particular wavelength count (a particular multiple of particular energies) before these waves are able to close in a circle -- and thus be symmetrical about best books for essay, a point. You need to essay friendship, know what numbers can divide a circle before you can construct the circle from waves. You might think this is something witches do, and you would be right, but an electron is a wave that wraps around the nucleus, too. There is (always) a bit more to this.

When a circle's periphery is cut and has a small gap, funny things happen as forces arise. One could call this a circle corruption and in a way it is. Yet the forces that arise are not corrupting, for they attempt to close the circle and .. Best Books? (think free energy). The making of a circle is also about taking a step from 1D to 2D. Reflexive Essay? There, you will find the friendly transcendental number Pi. To round it off, you may want to learn more about the squaring of a circle, for it is best books for essay, about the plan financial straight and curving geometries. We did not forget the ancient Egyptians and use the books for essay example of the essay narrative papers five pointed star as one of the steps in working the circle and the square.

The golden proportion and best books Pi get very close to each other. The five pointed star is made from the golden proportion and then the squaring of a circle and the five pointed star are closely related. Not everybody likes geometry. In case you don't, you can blame your teacher or _______, but in the not-so-final analysis it is about you. Geometry is about movement and placement in space, from an atom in your body to your ship as a whole.

Lots of geometry is in a plane and you have a good argument if you say your head is not flat. So let me cut to essay culture, the chase. The intelligence is in 3D and your head is best for essay writing, just fine for that provided you are able to school and contrast, intercept it. Books For Essay? Lots of free energy is in 2D and it can be harnessed there once you figure out how to relate 3D to brief essay, 2D. Oh, to relate 1D to for essay, 2D you'll get into the squaring of a circle, which is something you want to do if you'd like to make atoms. (Light is in 1D and energy of an atomic electron cannot be in 1D #151; it would leave the atom.) The linear movement is in brief essay friendship, 1D while the atom and gravitation need 0D for spin. Books For Essay? Your challenge, desire, need, or necessity is to understand and work the is the Pythagorean tetra(ctys) of 0D through 3D because that is how the universe is built and you want to continue to be a nifty and best for essay smart participant in it. Symmetry in a five pointed star. Symmetry has appeal. It makes things look nice but it could be difficult to move beyond that. There are similarities with reflections in a mirror #151; or refractions through a focus of a lens. Reflexive Essay? You might love crystals but it is tough to explain what symmetry brings to the table.

Aristotle could not apply numbers beyond counting and it was then easier for him to stick to generalities ('nature abhors a vacuum,' 'prime mover') and even poke fun at Pythagoreans. There are two kinds of symmetries : even and odd. The even symmetry duplicates things about the (usually vertical) axis while the odd symmetry duplicates things by half-circle rotation about a point at the origin, which is the books for essay center of the circle used to make the star. Symmetries issue from geometry (and geometry issues from numbers). The even (or axial) symmetry is essay, unique to energy and includes intelligence.

Esoterically it is the head of the best for essay Sphinx while the empty space between the Sphinx' front paws is the (virtual) line of the reflexive essay axis of the even symmetry. The odd (or point) symmetry is unique to charge and matter. The even symmetry is inclusive while the odd symmetry is exclusive. Self-test:-) If you think erecting a physical object between the books writing Sphinx front paws is corruptive, you are doing well. A five pointed star, point up or down, has even symmetry but no odd symmetry. You could also have heard of 'rotational' symmetry. When a five pointed star rotates one fifth of culture international business a circle, it overlaps exactly with the original star. You want to differentiate the rotational symmetry from the even and odd symmetries. Rotational symmetry is applicable in the rotationally-moving context and indeed there are plenty of situations for that.

I like to call the even and odd symmetries the placement symmetries while the rotational symmetry is one of the movement symmetries. Placement is for building things (this includes the books atom) while the business projections movement is not only for physical movement but also for transformations. Mainstream physicists use the term 'symmetry breaking' when dealing with the ocurrence of different symmetries. They (the scientists) assume everything should be in 3D and anything else is a form of books deviation (breaking) from that. This is very stupid. The fundamental thing to look for is computability. If the system is computable, it will happen. The system will then exist in several and in any and all symmetries, as long as it is computable. But of course, the computability conditions are spelled out and explained in the Quantum Pythagoreans book. This talk about papers, symmetries becomes introductory once you begin to best, appreciate that the (law of the) conservation of energy is business projections, based on best for essay the conservation of symmetries. The conservation of geometric symmetries is reflexive essay, then a more fundamental law.

There is a bit on this in the Quantum Pythagoreans book but then it is extended even more in the upcoming Stars and Rings book. Best Books? What? Who needs cables? Five pointed star in a circle. There are three sources #150; and therefore more than one meaning #150; of the five pointed star. One meaning has its origin in the exact (geometric) division of a circle and is discussed on this page. It is a fairly complex though rewarding topic that leads to essay narrative, the symbolism of a star issuing from a single circle. Another root comes from two orbits (hence two concentric circles/rings) of best Venus and Earth, and is discussed and essay culture international business traced there . (Venus, while most prominent through the five pointed star, is also associated with the number eight and the meaning of the for essay diagonal.) The third source of the five pointed star calls on non-concentric yet interlocking rings . Narrative Papers? The separation of the circles is in the golden proportion and this new five pointed and unique hyperstar construction has its own bookmark on best writing the golden proportion page. This brings us to the diff between the sign/drawing of a pentagram and a pentacle . A pentagram is a five pointed star drawn with five straight and unbroken lines, aka the Pythagorean pentalpha. A penta cle has a cir cle (s) around the star. Yet, these are but technical differences.

There are three separate origins associated with a pentagram and you may want to show a pentacle to point out the root. In other words, a pentagram always issues from orbits/orbitals/circles/rings/rotation and there are three separate ways to do so, as follows: 1 ) A single circle around the star makes it the homeschooling school essay classical or atomic pentacle that comes from atomic construction, and a single circle shows the standing wave around the nucleus -- the orbitals. Pagan-wise the classical pentacle stands for earth and if you think of it as 'materia' (from Latin), it's a close match to 'atomic.' 2 ) Two concentric circles around the star make it the cosmic or planetary pentacle and the two circles are the orbits of Venus and best writing Earth (can be computed via modulo math from the clockwise 8:5 orbit ratio and in essay narrative papers, the illustration on left the orbits are to scale). Points are between and close to the midpoint of the two orbits and the pentagram rotates (why that is so is on the Venus page). For Pagans, the double circle around the star is about 'drawing down the Goddess,' and the circle diameters are calculated along with point sequencing on the Venus page. If you speak of or draw a planetary pentagram , then you are substituting the two concentric circles with Venus and Earth symbols because you know there are several pentagram sources. 3 ) Separated but interlocked circles (rings) with centers at the hips of the pentagram show two separate atoms joined in a molecule, which I call the hyperstar pentacle . This is new and I don't presently know of anybody applying the hyperstar pentacle.

Although I think the hyperstar explains the books atomic separation in a molecule, there are many, many meanings and applications. My feel is associating the and public essay hyperstar with friendship, marriage and angels. I like using it in for essay writing, Tai Chi and here is an brief essay friendship example. Best? A classical pentacle can be rotated/turned about the circle's center if someone wants to do an upside down 5 point star. With the essay culture international hyperstar, however, I flip the books for essay writing pentacle about the hips and essay narrative papers then a completely new 10 point hyperstar happens -- a star with nothing but the golden triangles.

See below. [Flipping something about an axis is a feminine operation.] The abundance of the golden proportions associated with all penta. constructions deserves an analysis of its own. Whether it leads to harmonizing your environment and having good luck, building a pyramid, or even growing it into nature based religions the books likes of essay friendship Wicca or Shinto, the golden proportions are indeed linked to space borne intelligent energies. Once the circular geometries are engaged you'll end up with the books pentagram. It is then okay to draw just the pentagram but you want to draw the various pentacles if you want to show where the pentagram is coming from. For example, ancient Egyptians call the pentagon 'The Womb' and if you retain the circles on the hyperstar you just might see it. Okay guys, another story has Isis looking for essay, Osiris' parts. She found all except the for essay writing phallus, which was eaten by a fish. Strange story. Well, if you retain the circles you just might see a fish doing its thing. [So, is the essay vigilance is the hyperstar a lost ancient Egyptian star or is it THE Star, the most secret one?

I haven't seen it in their art but their stories sure seem to point at such possibilities. Self-test:) If you take the fish story personally and say ouch, for books for essay writing, example, you are missing the alchemical dimension.] Pythagorean pentagram/pentacle symbolism is a bit different and compare and contrast essay possibly more sophisticated if you think in the square-a-circle context. Books For Essay? The pentagram is encircled once and then a second ring is added as a piece of essay on eternal vigilance price of liberty jewelry. The second ring is then at the right angle to the first. (The illustration is from Secret Teaching by Manly Hall.) Regarding the Satanic or (d)evil or demon side of the upside down (inverted) pentagram or pentacle, consider it a feeble attempt at corruption by the self-proclaimed sign-of-the-beast creator and almost-priest Levi. You want to know where corruption comes from and books then you are in and public compare and contrast, position to overcome it. In this case the upside down pentagram could issue from natural rotation of the Earth-Venus cosmic/planetary pentacle in the solar plane -- with the sun in the center -- and best books writing then the satanic notion loses its meaning once you appreciate that the cosmic pentacle's rotation does not stop and there is no 'up' and essay vigilance is the 'down' of the best books for essay solar plane to begin with, just as you cannot tell if the on eternal is the of liberty whole coin on best books for essay the right having odd (point, sun) symmetry is up or down. (Under odd symmetry every point has a second point on homeschooling compare and contrast essay the other side of the for essay center of reflexive essay rotation.) If you want to unambiguously show the best books for essay writing star's point-up or point-down placement on narrative papers a coin, you have to place the star next to a non-symmetrical reference such as an animal (or introduce the even/mirror symmetry, which is the case in nature). The coin's design is odd-symmetrical, but if the lower half is erased then odd symmetry is gone.

It is then easy to see that the star placement becomes point-up because 'Republic' now provides up-down reference. So you can appreciate that up side down is not a given under odd symmetry alone because when your reference is but a point (such as the Sun in the center), you could see the star one way looking from the writing center and the opposite way looking into the center. Moreover, cw and ccw rotation can be differentiated -- think mirror symmetry and angular momentum in 3D, which also means that 'above' aka heads and 'below' aka tails can be diffed absolutely under rotation. Geometric stars' origin is from orbits (macro) or orbitals (micro). Micro includes both the atomic and/or molecular (valence) orbitals. This means that the stars issue from odd [masculine] symmetry.

Yet, to get unambiguous and stable solutions, both the odd and even [feminine] symmetries are needed. Ancient Egyptians include a horizontal bar with their oval cartouche just for that reason, and the bar -- which is the axis of the even symmetry [it is not the vigilance is the horizon] -- is very explicitly tied to the oval. Now, I am extending it past the writing Pharaohs' cartouche, and there are more practical and new examples in essay friendship, the 5 and best books for essay writing 10 point hyperstars below and, of course, the essay culture international business Golden Eye. When it comes to the androgynous nature of the beast (Levi's beast has feminine and masculine attributes as well as a point-down pentacle on its forehead), consider that masculine-feminine cannot be merged because they each issue from different and unique symmetries. Best Books For Essay? Masculine-feminine is about the duality that cannot be unified by merging but needs to essay vigilance price, be, and can be, balanced or married. (Achieving such balance is not trivial but there is more than one solution.) In essence, the evil side arises from conflicts that ignore nature's duality, and one of the gateways to best books, its understanding is to brief essay, ask, 'Why and how is the human brain separated and joined at the corpus callosum?' Focusing on construction of the visible universe, the gateway to balancing is through Quantum Mechanics. Oh, if you don't like the status quo get into vortex and free energy. Overlaying two opposing hyperstar pentacles , the up-and-down points from the two pentacles make a ten-pointed hyperstar, which is not a decagon nor a hexagon, either regular or not -- yep, not concave and not convex -- and definitely not for books writing, the Wiki trivia chasers. This hyperstar (on right) has a north-south axis with very unusual properties.

The axis can become absolute under spin and then the star symbolically acquires a touch of Tartaros (or Tartarus) -- but, as a Pythagorean you know what the financial projections axial post/pole is about. I like seeing the hyperstar as 'the seed of the thunderbolt,' but that's shade romantic. Books For Essay Writing? Did you notice all triangles on the hyperstar are golden? In the case of the classical pentacle, the upside down notion also has no meaning because the five-fold atomic orbital is symmetrical about the atomic core and is free to rotate without appreciable symbolism. (However, there do exist harmonious and disharmonious stars and in the book Quantum Pythagoreans you will learn which is which and why.) A human body has a close resemblance to a five pointed star. Indeed, Tai Chi makes a mere resemblance into a remarkable art, including the Martial art. The upside down star is reflexive essay, not conventional (not normal) once you link a human body to the five pointed star. For Essay? There is then a human mental aspect to an inverted star and the Venus page has a bookmark on that. However, if you place energy importance first (and you should) then the upside down aspect is about energy while the upside down body is culture business, a mental and best books for essay writing positive construct in the service and manipulation of energy. How do you make your own pentacle or pentagram?

Buy or make is okay but to narrative, have your own you have to have it in your mind. And add a cw pentagon, too. [Feeling better?] Here is also a secret for the 21st century: You must know how to best, make the star geometrically and then -- by making the same body movements -- you will also attract beneficial (golden proportion) energies in the circular geometry that will stay with you. Essay Is The? Oh, if you start doing Tai Chi, you'll see the geometric components very soon. If you wish to books for essay writing, superimpose/overlay/map a human body onto essay a five pointed star , the five points of the inside pentagon are the major reference points. Best Books Writing? The top two points are at the shoulder-neck transitions, just as you'd guess. The lower two side points are the hips while the lowest point is the crotch. If you do Tai Chi/Yoga exercises just a little, you will feel the importance of these points. As much as I find occult interesting, the occult human body-onto-star overlay seems forced and reflexive essay this leads me to suspect the books for essay occultists do not exercise much. As you get more into mind-body-circle-star- energy interlocks, you'll jump or sail right into alchemy . You cannot power into alchemy but you can turn alchemy (Tai Chi or ancient Egyptian versions) into personal power, both logical and physical. There is the Buddhist view, too. Ever seen an angel?

The book you will thoroughly enjoy. Harmony is talked about ever since antiquity but it is business projections, this book that actually allows you to predict whether any two tones will be harmonious. Yes, the clockwise or counterclocwise rotation can be determined and that is the one (of the two) harmony components that was hidden until now. It is about the perfection of geometric stars and the waves that go with it. The radius measure of 2 (diameter of 4) in our pentagonal construction on best books for essay writing the left is the outcome of using the reflexive essay shortest applied distance as the unit 1 . For Essay? This is not because you couldn't divide by two (you can -- and work with ? as the distance OA , for example), but if you construct other structures such as the the Great Pyramid with the homeschooling school shortest distance as the unit 1 , you will always be in books, sync with your numbers from one structure to business, the next. If you want to best writing, look at it metaphysically, each number has its own personality and homeschooling and public compare and contrast essay you want to best for essay writing, keep track. If you want to have more fun, think of the unit distance OA as an irrational number. Even Euclid did not think of the number 1 as just a counting number. On the political side, particularly in business projections, the association with Communist power , you want to be cognizant that the five pointed star issues from for essay writing, orbits and the star is always a 2D entity made from essay friendship, 1D constructs. Making the star into a 3D star (the likes of the Kremlin) points to the lack of understanding on the root of the star's creation.

The purpose and utility of the five pointed star could also be said to be misunderstood by the Communists, not unlike the books for essay swastika adoption by the Nazis. [If the Nazi technology was as advanced in the flying saucer technology as is rumored then the essay is the of liberty swastika would not be far off.] For the time being I'm not doing full 2D (area) or 3D red stars until the bloody aspects dissipate -- oh, about a hundred years, considering China. Best Books? These stars are fancies anyway. Actually, Darwin started the whole mess with his 'strongest survive' evolution simplification, and it was the opportunism of vigilance price Communists and Fascists who took in the reduction and best books writing used it literally. (There were alternatives available at Darwin's time but Mendel was pushed aside for reflexive essay, the critical 15 years and at best books for essay writing Mendel's rediscovery the industrial revolution was in full swing. Book review: The Monk in The Garden .) What to look for. People bent on essay narrative power will promote and support the following: 1. Best Writing? Nature is on culture international business our side. Best represented by Dawkins' The Selfish Gene , the idea is that being loaded with money is best for essay, natural (you guessed it, it's Gates' favorite). A virus is selfish, a gene is papers, not.

In the UK the Oxford U nicely masks its ignorance with arrogance. In the US the Harvard U is big on this kind of spin [they put out the best crap]. You will recall the dinosaurs and the dino eats dino times [I don't think they died out without a fight]. 2. Running out of energy. Usually about (peak) oil, this mentality replaced Running out of food from the last century. This allows wars to writing, go on, as it conjures up there is not enough for both of us. This is but one example of reductionism. [If you don't see God, there are plenty of homeschooling and public compare essay bosses to work under #150; here and on the other side.] The beauty of free energy is books writing, that it is really about smarts and without a large up front investment. Once you do a bit of reading, you will be LOL at the experts, but you'll also have to do the free energy yourself. If you complain that the govt does not release free energy, you are not getting it. 3. Socialized medicine.

The mind job here is to convince you that you need the institutions of state and selected private hospitals and clinics for culture international, you to stay healthy but there is an obligation to pay extra premiums. It ends up that the healthier you are the more you pay and this becomes a tax on your health. Because you are smart and stay healthy by paying attention to your body's needs, you are pressured to pay for the ones who are not, and the power chasers are a sick lot. You may have to best books for essay writing, move to brief friendship, another state and/or become politically active (for example, AMA should not have a monopoly). You really begin to understand this when you start looking forward to books, stopping the payments of essay culture international business your premiums. You may find out it is the best thing for actually being healthy. There are three components : understand fear, pick up specialized exercise, and keep up with alternate immunity discoveries (such as Dr.

Jan Raa's) as well as the revival of Raymond Rife technology. Once you understand the fear component, talk openly about the health alternatives should you meet an best for essay AMA doctor, for the tables might have turned. 4. Culture or religion-embedded values of guilt, fear, and essay friendship intolerance. Once embedded they can be invoked without explanation (prejudice will not be seen for what it is). This is usually about Bible and Koran waiving and could be difficult to deal with outside the US.

In some cases the fear and/or weakness and/or ignorance justifies betrayal [needs to best books writing, be watched, even self-watched]. Essay On Eternal Vigilance Of Liberty? Betrayal is also a component of best books for essay power, and power has its own category (power is reversed in the virtual domain and there it is not based on essay culture international business specific might but on infinity). In the Pythagorean and for essay writing Buddhist traditions the friendship works well. I also like Ronald Reagan's attitude because he 'liked all and reflexive essay feared none.' You might get hurt but you will have the books for essay writing last word. So you think you know your numbers and essay vigilance is the might think it's okay to reduce them to your liking.

But if you construct the Great Pyramid with the golden numbers and best use the shortest distance as the unit 1 , you will arrive at reflexive essay the pyramid's base as having the best books writing side length of 4 . The base of the Great Pyramid is then 4 times of essay papers some unit of measure. Writing? So now the pyramid's base periphery (4+4+4+4) and brief base area (4x4) carry the same square number 16 . You see, if you reduce the numbers and think of the pyramid's base as having the unit length of, say, two, the base periphery would have eight units of length but the for essay base area would be but four (square) units. If you do not reduce the numbers you can think of the number 16 in the context of essay narrative papers acceleration (unit of measure per time squared) and derive the for essay writing unit of length that is brief, most appropriate for this planet [yeah, it's a foot]. Rational numbers are commensurable numbers -- that is, they all have finite or repeating sub-unity part of a number (mantissa) and all can be expressed as a ratio of two integers. Rational numbers can also be called the exact, finite, or absolute numbers because we can write them down and agree on their value. At times, rational numbers are called real numbers because all real things have a finite measure. Rational numbers happen when we ratio two integers. Best? All mainstream mathematicians define the rational number as the homeschooling school and contrast ratio of any two integers. So, a mainstream math guy would say, Of course the rational number is a ratio of two integers -- it is defined that way. Yet, you really do not want to writing, be mainstream and acquire but an essay narrative papers encyclopedia knowledge of the world.

You do not want to think of somebody's definition as complete or adequate knowledge. Best Books Writing? You know that a rational number is a finite number (has a finite or repeating mantissa) and essay once it is finite it can be expressed as a fraction of two integers. Books? As a smart person, moreover, you know that if another operation produces a naturally finite number then such operation also creates a rational number. Business Financial Projections? The circumference of a circle is best for essay writing, a transcendental number. Many of circle's round segments (arches) are transcendental numbers and their straight cord could be an irrational number -- and both of these numbers have an infinite mantissa (infinite precision). The question now is: If you divide (ratio) some particular circular segment by its corresponding cord, will you get a finite (rational) number as a result? Some Pythagoreans view the number two as a problem number because it divides the unity. Pythagoreans discourage division of the unit 1 until you understand the context of each degree of freedom -- but in any case the number 2 is not the culprit. (The number 2 is in the denominator of the homeschooling and public school and contrast golden ratio and there it should stay as the for essay writing number 2.) As you get familiar with this site the sub-unity will become applicable to atomic orbitals and is the price hence the number 1 is the Great Divide between the macro-cosmic and micro-atomic. Best Writing? [My guess is that macro concepts are taught before the micro in the Pythagorean School.] Tetractys of Pythagoras deals with the organization of matter, among other things.

What makes you a Pythagorean? Short of visiting the Pythagorean page, you are interested in the actual construction of the visible universe. As a Pythagorean you want to know why some stars are constructible exactly and muse at the people who draw stars without regard to their actualization. Drawing stars just for fun is okay but to a Pythagorean that's in an entertainment category. The. compilations about stars are trivia, which quickly become distracting as well. Working the five pointed star is a wonderful start, for this star is geometrically, that is exactly, constructible. Constructing the papers real universe is, moreover, the greatest show there is. Writing? Construction and reflexive essay deconstruction of atoms are similar endeavors -- and for essay you have no need for a hammer to construct or deconstruct something. The forces therein can add up in controlled fashion, too. There are dozens of business plan projections philosophers and gurus talking about the books for essay omniscient nonlocal instant infinity of the conscious universe, but to a Pythagorean this is but one half of the show : You still have to put all that knowledge to work.

Yes, we have pictures. And Public And Contrast? The upside down star has no negative meaning in the micro domain. There are in fact several stars nested inside the larger stars because there are many orbit jump opportunities with each pair of orbitals. Yes again, ALL triangles are golden. Oftentimes we think of star patterns only books writing, when tiling in 2D or building the Platonic solids (in 3D). But the patterns we encounter in the micro are usually made with overlapping stars and that makes nifty art shapes as well. The overlap comes from the inclusiveness of reflexive essay waves. On July 17, 1991 at Barbury Castle there appeared a crop circle named the Tetrahedron (a triangular pyramid). For its 20th anniversary we have a summary-update. Here is a poster for a Graphics show I had in Prague (where I teach now) in February 2013.

Large-print format is becoming affordable. With a careful equipment selection, one can avail to a high quality original poster that is not only less than the price of a reproduction, but is best books for essay writing, good for your health as well. Just about ready (second picture). Consider the existence of the even and vigilance is the price odd symmetries as the best writing point of departure between the essay culture international Pythagorean and for essay writing Aristotelian physics. Business? Pythagoreans continue basing new concepts on best numbers and essay then the even aka twofold symmetry issues from and relates to books for essay, the number two (and the feminine). Aristotle refers to the Pythagoreans and flatly claims in Metaphysics that 'two' and 'twofold' are not the same and essay vigilance is the price of liberty that 'twofold does not subsist in the two.' (Of course) the two and for essay twofold are not the same but the number two spawns the even symmetry as two-points-make-axis construct and then the homeschooling school compare and contrast number two is not just a counting number. If Aristotle rejects the best books for essay writing Pythagorean 'number two is business, behind even symmetry,' does he propose something better or different?

It does not seem so, and this could be a nice example of ancient Greek debunking. Best For Essay Writing? Aristotle does not like it, and that's okay, but without offering his own reasons for reflexive essay, the existence of symmetries he will not be able to advance it. Best Books For Essay Writing? Sure enough, we don't hear from Aristotle on symmetries. Some star constructions speak of fixed length sticks, which at first glance can construct any size polygons. Here is where the executability of angles comes up. In space, the irrational angle is constructible only approximately and only some angles will be actualized #150; think snowflake formation.

Also, we can calculate the points of a polygon along a circle but using sticks that have finite (rational) and equal lengths for the cords will not always fit in such points. Brief Essay Friendship? In fact, a not-so-difficult case can be made that geometry takes precedence (has priority) over best books arithmetic. [If you are a scientist, you may think of Emmy Noether who ignored the nature's beauty of snowflakes and made simplifying assumptions about space that proved the 'ignorance is essay vigilance is the price of liberty, bliss' postulate #150; for in her world everything is reduced and snowflakes and crystals don't exist.] You can calculate the area of any polygon by taking the area of the triangle and multiplying by best books writing the number of vigilance price of liberty sides. Best Books Writing? When working the area of a circle or a polygon, the center point is (becomes) excluded . (If you are metaphysically inclined, think Isis looking for all parts.) In your Pythagorean mind, you need to essay friendship, link the for essay writing area to its physics application. Reflexive Essay? For example, a physical property that is proportional to radius squared is then also proportional to the area, which gives merit to area calculations. This is bigger than it seems. You are not just sweating your teacher's assignments -- you are actually working the physics entities if you know what they are. This one comes from Yosifusa Hirano of 19th Century Japan. It is elegant and also constructs the pentagon or pentacle on radius 2. All pentagram angles are a rithmetically divisible by nine. So, what's the big deal if the number 360 (degrees in a circle) is no big deal?

If you line up all angles from the pentagram : 36, 72, 108, 144, etc. and best writing sum their individual digits you will always get 9. That may seem like magic, but once you appreciate that the number 360 is arbitrary, you don't need to business financial, ooh and best for essay writing ahh about it. If the number of degrees in a circle were 320 or 260 or 364 the summing magic would not happen for 9. The circumference of a circle is 2Pi and putting in a number to stand for degrees is brief essay, purely a practical consideration. In the case of 360, this number is 4x9x10 and now, because the angles of a pentagram are in best books, tenths of a circle, the number that is left is a multiple of 9 (and 4) and so it will be always divisible by 9 (or 4). All numbers divisible by 9 have their digits sum up to 9 (modulo 9 #151; thank you, Gauss ). So, always work with fractions of a circle (or fractions of projections 2Pi) even if the best books for essay writing numerical sub-unity pushes your right brain into infinities. There is plenty of real magic left in this subject, particularly if you get into reflexive essay, the squaring of a circle. We have a collection of cool and hot designs inspired by the five-point star. View select designs -- or visit our store at Zazzle ( . Best Books For Essay? com/Mike_Geo) and see how well you could look in a tee, hoodie, long sleeve shirt, or a polo. Papers? If you have new ideas you want to explore designs from the constructs of nature. All our designs come from books writing, nature and essay narrative papers center on the golden proportion. Design on best books for essay right is called the Adventure of The Red Sun. A pentagon and the Great Pyramid are related, but it hadn't been easy to show both of them relating through the golden proportion.

I construct them together using the new Golden Eye method in the Quantum Pythagoreans book and now the construction is available in reflexive essay, color for your shirt or Tshirt as well -- in best books for essay, the Golden Eye design. The golden proportion is between the pyramid side and the half-base. The Great Pyramid is shown in a vertical cut through the mid-face. Narrative Papers? Much detail is on for essay the golden numbers page. The five pointed stars attract energies on account of the golden proportions. Narrative Papers? Because under rotation the five fold symmetry can be either harmonious or disharmonious, you want to know which is which (ccw is harmonious on best a pentagram, cw is harmonious on a pentagon) because you really cannot hide under a rock and brief essay hope for the best. Best Books Writing? Some people rely on intuition and some want to understand things a bit first.

Either way, I wish this site and the book will do it for you. Two pentagons make a decagon, a regular ten pointed star. A regular pentagon made with the Hirano method can be used to easily make a regular decagon #151; an exact ten-point star. A pentagon that is made by the exact division of homeschooling compare and contrast essay a single circle can be duplicated 180 degrees out-of-phase (upside down) and decagon results from two pentagons. One pentagon is thus rotated about the center of the circle or, if you prefer, rotated/flipped about the horizontal axis. However, a regular ten pointed star that is a regular decagon is not a hyperstar. (Hyperstar is discussed in the right column.) While both stars are created from two regular five pointed stars, a decagon is always convex.

A hyperstar has some straight segments spanning three points. A decagon has its points on a single circle. A hyperstar has 8 of its 10 points on writing two identical circles separated by the golden ratio parameters. [I think the mathematical discoveries of business financial construction ratios is what Plato refers to as 'Logistics,' which is thought to be a lost Pythagorean knowledge. In the case of a pentagon Diameter priority the ratio is with square numbers (1:4) because we go from best books for essay, 1D (unit length) to 2D (circle). The same ratio of 1:4 holds for the pyramidal construction because one unit of length ends up as four area units of a pyramid base. For a pentagon point-to-point Length priority, however, the ratio is and public and contrast essay, 1:2 because one length becomes another length (1D to 1D) but the books for essay writing construction now must include rotation . In general, there is a rotational aspect in the Pythagorean Theorem even though the homeschooling compare essay arithmetic of the Theorem does not capture it (it uses squares). Logically, any line (any 1D distance) inherently contains a direction and when staying in 1D a change in direction amounts to rotation. Squares (area, 2D) do not contain a static direction but they have something else.] Every time you double something #150; think octave. Every time you halve something #150; think node (or fit) for standing waves.

Every time you rotate by 45 degrees #150; think transformation. Every time you rotate by for essay writing a right angle #150; think.. Essay Culture International? The funny thing is this works for Tai Chi when your body, your arms, and your legs are doing the movements. Geometry and movement is about your health too. Harmonious ten pointed star. The star below, if drawn counterclockwise, is classified as a (10+ 7 )/10 star using my method that is (x+y)/x in general y is between 1 and x #151; that is, xy=1 . The decagram star looks nice #151; it is unicursal, is regular during construction (advances by the same angle), has parallel sides and for essay is harmonious. This star skips every six points and is the vigilance is the price of liberty only harmonious ten pointed star in the macro. (Decagon and all other ten-point stars are not harmonious, cw or ccw.) The Pythagorean style rationing (really proportioning) method (x+y)/x as well as the corresponding musical harmony or disharmony is explained in the book, and you'll know why the proportioning approach presented here is much more useful than what the mainstream puts out. You noted x and y are integers but if x and y are the golden numbers then (x+y) : x is the golden proportion #151; and enter both the best books for essay writing micro and the macro. (Rationing is not commutative because A/B is and public school and contrast essay, not B/A. Proportioning, however, is commutative because A : B is the same as B : A, and playing two musical notes has the same effect whether you analyze at it as A : B or B : A. Sometimes I think mainstream math is pathetic, for ignoring waves is the norm.) There exists symmetry about one point called the point symmetry (or odd or radial or rotational symmetry) [masculine]. There also exists symmetry about two points called the even symmetry (or axial or twofold or mirror line symmetry) [feminine] #151; the two points making an axis by which the original image rotates.

These two kinds of symmetries are all-pervasive in atomic construction where they are called the odd and even wavefunctions. Yes, everything is coming up numbers. Now, how would you marry these two symmetries? You might have noticed that in the five-fold division of a circle the three points made by a compass' pin are at the corners of a right angle triangle having sides 1 and 2 . (A pin of writing a compass centers the radial symmetry [masculine].) It is no coincidence that the Great Pyramid's Grand Gallery has the essay culture international vertical height (rise) of 1 and the horizontal length of 2 while the writing Trough is the brief essay hypotenuse spanning the distance of best for essay writing SQRT (5) . (This also establishes the unit length 1 of this pyramid.) Is it a coincidence that to define Pi we need distances 1 and 2 ? Is it a coincidence that to construct the golden numbers we start with a right angle triangle with sides 1 and 2 ? There is more to 5. It is business financial, very easy to get excited about the number 5 and for essay begin to associate each of the five points with other things. This is a Pythagorean site and we love the number five but Pythagoreans also know that using numbers for counting is introductory to the power of numbers while correspondences are about the elemental #151; that is differentiating, power of numbers. The five discrete elements in Wicca and business plan Tao are fine, yet the visual-geometric imagery based on the Penta. is about the infinity (irrationality) of the golden proportions stemming from the square root of five . With the writing golden numbers you construct many shapes that extend the Penta. beyond counting.

The images are also more than pretty pictures, for the waves in space readily interact with such shapes in a computing relationship and things happen. You do not need to get esoteric to appreciate that energies have preferences for geometric shapes and the golden proportions have a unique predisposition to the operation of the reciprocal . (Yes, energies make things grow but also think about the nature's way of and public and contrast actually capturing the waves' energies.) So it is nice to recognize the best books writing golden shapes around you even though neither the star or the number five jump out at you. The meaning could be shifted by another application but now it is not hidden. [There are also large corrupting influences in place just to culture international business, keep you astray.] What if the Queen's Chamber in the Great Pyramid has its spatial distances in the golden proportion? What if the spiral on the Eye of Horus were made through the golden rectangle or a golden triangle? How can you visualize the golden ratio in financial terms? Throughout the best books for essay writing Hyperflight site I like to make fun of mainstream science.

These folks lower our understanding and appreciation of nature and their favorite first step is that 'this or that cannot be done or found out.' The best modern example is brief essay friendship, Einstein and I don't know of any of his concepts that are correct: This includes the special and general relativity theories (stemming from his inability to determine absolute motion/rest); photonic work function (a photon puts no pressure on a mirror); Brownian motion (molecules vibrate in place); and energy-matter mechanics (not reversible, i.e., nova or supernova). Best For Essay? Errors of omission and business financial projections commission are also applied to corrupt the reality around us. Books Writing? The basic difficulty is that science popularizers use the right math but apply it to wrong concepts. It may take a while to get to the bottom of narrative this and what really helps is that equations cannot make wrong concepts right, and therefore are suspect. On this page I said that 'up' and 'down' cannot be distinguished in the solar system under odd symmetry alone. Everything works and continues to best for essay, grow, evolve, and can also be created whole in a particular context. It is then the context that needs to be understood in addition to any some such conclusion. The 'up' and brief 'down' manner of speaking is relevant when the context has a line : things above the best for essay line are 'up' (above) and below the line are 'down' (below).

However, orbits and orbitals and reflexive essay spin in general have a point as its construct of rotational/spinning existence and it is best books for essay writing, then appropriate to say that when dealing with point symmetry there is no fixed 'up' or 'down' because there intrinsically is no (fixed) line. The point is that if you understand the context you will understand whether someone's pronouncements are true, not true, or corruptive. For example, ignoring 0D (a point) as the fourth dimension of reflexive essay freedom -- which provides a movement construct just as 1D, 2D, and 3D do -- is corruptive because it does not recognize the spin/orbit that accounts for 99% of the moving energy found in the universe. There are several ways of getting to the truth, too. Books? Geometry is one. Business? Tarot works nicely and in this case it's The Wheel of Fortune card.

Tarot has four suits, which stand for .. (your brainwork). You will then be in books, position to either speak out and/or just do what you know is better : Free energy, Martial arts, spiritual medicine, telepathy/RV, superluminal travel, atom/matter creation -- all, not coincidentally, based on ether scientists deny. Speaking out means that you have enough info based on merit and then your statements become less political. For example, I'd get a Tarot card deck without the Hebrew letters, for these lack symmetries and could be disruptive. (If you know the Hebrew letters were added to Tarot later on, you'll also know it is about corruption.) As you learn how things really work the misconceptions will release and you become healthier. After reading a book on the history of the Chinese philosophy that weaves through the Confucian, Taoist, and Buddhist pursuits over 2300 years there, it seems the Chinese never got to the understanding, and then the differentiation, of the symmetries.

Yet I would not relax too much after this. There are the philosophical and religious versions of and public compare Taoism and if you stay with the academia's version of philosophy you'll learn next to nothing. Once you get to the religious side you will read a lot about circles and writing spirits and reflexive essay demons, about best books for essay writing, keeping centered (weighed) in a point and essay having light crystallized -- but all this is best books, pure alchemy and it takes some dedication for the ideas to work their way through (just as you would do with the ancient Egyptians). While the Chinese did not push the three philosophies/religions into the objective realm we call science, the Chinese pursuit in on eternal is the price, the improvement of the individual's mind-body yielded Tai Chi with most significant implications -- and leaving a formidable gap for the West. Wang Fuzhi (b. 1619) gets very close, giving Chi (Qi, Ether) the female-male aspects of Yin-Yang (ancient Egyptian Tefnut-Shu) and then nicely extends this to coexisting energy-matter duality along with a dynamic balance of the two. Books For Essay Writing? Wang Fuzhi is describing a free electron all right but then its detection and use happens in a body (yes, yours) rather than in an external and objective instrument. (Damn the essay culture international self-serving Emperor/one-party systems and invest in yourself, literally?) Wang Fuzhi, or anyone after him, does not advance Li (order/construct/distance/1D) to best writing, geometry or symmetries, and friendship this also means the Pythagorean tradition did not make it to China (until recently perhaps).

We can then also say that the Taoist five pointed star of the elements is indigenous to China (could've been discovered in more than one place) and books for essay testifies to the universal power and utility of the five fold division of brief a circle. The Chinese elements correspond roughly to those of Wicca except that 'spirit' is taken as 'wood.' This seems strange but think of wood as the circles of tree rings, too. This also gives you an idea how hidden Chinese alchemy is. (Note the prominent spiritual link to the trees in the Druid tradition and a very explicit tree related experience of Joan of Arc.) The Taoist movement starts with Lao-tzu's Te-Tao Ching of 500 BCE (or so) and Te translates as Virtue. I am happy to have named the largest chapter in the Quantum Pythagoreans book the Virtual Domain (and before reading Te-Tao). The virtual domain is about infinities and there is much to explore there -- yes, this is an understatement. (One can also destabilize in John Nash fashion. If you don't figure out best for essay, you are among infinities while using real/rational methods, you may stay there forever.) If I were to talk in brief essay, Lao-tzu's puzzling way, the virtual domain Te holds nothing because it has everything (and now you'd have to figure out the for essay writing virtual domain Te has everything in the form of knowledge).

At times Te translates as Power (and knowledge is a close relative of power). Lao-tzu described Tao in the most general way. It was only later that the homeschooling and public school and contrast Tao symbol arose from that and along with the religious side of Taoism. Best Books For Essay Writing? But of is the course, the Tao symbol is but the Chinese version of what the infinite Tao is or could be used for, including the label of 'Tao.' The virtual domain deals with knowledge that is linked by associations. The Western alchemy's condensed virtual language could speak of the philosopher/sorcerer entering the stone only to discover there is no stone. Bewildered, the philosopher breaks out of the stone and finds the stone the same as before. He cannot break into the stone and yet he does not have to break up the the stone to reenter it. Best For Essay? The philosopher's stone can be had -- but not physically. Yikes! Here is s'more on stability via organization.

So you think you know your numbers metaphysically and reflexive essay feel comfy about the best books masculine-feminine stuff. You might be dividing by 2 and think it feminine. Not so. Real cutting is masculine : it makes two halves of an apple, severs an interconnection of a relationship, or spatially reduces a spread out electron (QM). However, when you observe a biological cell division, don't rush to call it masculine, for it is feminine.

You'll have to get into symmetries to understand this. Essay On Eternal Vigilance Is The? Meanwhile, don't make the silly mistake of equating masculine with a man and feminine with a woman -- unless you want to best books for essay writing, give up on one half of your brain. Reflexive Essay? Oh, and best think about The One. Analytically attacking all three major pyramids at Giza as one layout can earn you a label or two, but on this site Jiri starts with a square and then looks for the golden proportion #150; and gets very, very close to the actual measurements. Reflexive Essay? Ready to bury the Pharaohs someplace else? Some basic geometry.

From a square angle to a square. There does not appear much we can do with a square. A square is pretty, has a lot of symmetries, but that's about best for essay writing, it. But as we go on, things are going to get interesting once we start to make cubes. Also, as a plain square, two circles can be fitted and defined by a square: an homeschooling and public essay outer circle and an inner circle. The illustration on left is taken from our ether page and it actually results in geometrically determining the best writing speed of business projections light. A square and best writing a circle have been engaged from narrative papers, before Pythagoras (Thales) and there are several pages on best books writing this site (here and there and here too) on essay papers circle squaring. Pythagoreans love square numbers. In the present day vernacular, moving energy is proportional to velocity square d. Any square can be made into any number of rectangles and any rectangle can be made into an exactly same-area square via the geometric mean. Books Writing? Geometric mean works with all distances, including irrational distances (but you need rotation).

And so any and all velocities resulting from, say, gravitational acceleration or collisions or explosions, have corresponding and exact energy values. Any square (any amount of and contrast essay energy) can be divided into as many squares as you want #151; and for essay writing so the energy of one moving object is conserved exactly even if the object is broken up into many other objects. Here is a simple yet powerful construction that. 1) Divides any distance exactly in half; 2) Erects the perfect right and square angle (making the Cartesian Coordinates); and. 3) Makes a true square using any circle centered at O (at the intercept of horizontal and vertical axes that are the and public and contrast essay coordinates). Books For Essay Writing? A square is also a four pointed star. Only straightedge and compass are needed. (Straightedge is an unmarked ruler.) Both arcs (arches) have the business plan projections same radius. Distance AB can be either rational or irrational, for books, there are no limitations on spatial distance between two (zero-dimensional) points A and B. Drawing a line between two points is about direction (1D) and yields a perfect line, too.

If you want to and public compare and contrast essay, know the books writing minimum separation between points before a line could become the real line, take a look at brief essay friendship Absolute Minimum Length (it's about the infinitesimal). If distance AB is irrational, should it be dashed? If so, why? You will note that all geometric constructions start with the creation of the best books for essay Cartesian Coordinates. Once you have them, you can make any square using a compass (a circle) and then make any star from the perfect star family. A square, then, is inherent in all star constructions. A square is business financial projections, feminine and a circle is masculine. Some people get into spirituality and claim a circle is feminine because it is books, rounded. That is how you can tell a beginner.

Symmetries are the key here because they have very high priority -- on par with energy conservation. Ancient Egyptians, Native Americans, and essay on eternal is the price of liberty Chinese have no problem here. Pythagoreans and Plato are technically fine because of best symmetrical 3D solids. Aristotle would not get into symmetries at all (and his historical contribution ends [should've stayed and die in Baghdad]). And Public School Compare? The Western applications of symmetries are generally weak, although, the Western alchemy is okay and at times superior (3 vs.

4). Three pointed star. Construct the perfect triangle on a circle and another triangle on writing a semicircle #150; in business financial, three steps. Triangle as a logical and best mathematical construct. Because three-pointed and six-pointed stars are geometrically perfect they can be used, circled, as a symbol for 3 or 6 wavelengths wrapping around the nucleus.

However, a hexagon and hexagram reduce into a triangle under modulo math for harmonious ratios and do not manifest in orbits (macro) #151; that is, showing a six-pointed star with two circles does not reflect nature. A hexagon is also prominent in free energy work. Hexagon is full of vigilance of liberty different symmetries and, for better or for worse, enables rapid transformations or projections. Best For Essay? A six sided star of hexagon could be of essay on eternal some interest regarding energy accumulation in the micro and books writing we included it in reflexive essay, the numerology section on best books for essay writing the Pythagorean page. Without a circle, a triangle symbolizes 3-state systemic (complete and brief friendship never-ending) systems, each state being in books for essay writing, one corner. Such three pointed arrangement has no metric as it is narrative, a logical, say clockwise, process. (Some systemic processes call for quaternaries #151; think ancient Egyptians.) For Pythagoreans a triangle provides bounds for the ten dots of Tetractys (a triangular numeral 10), which also becomes one facet of a tetrahedron (projection from the best for essay apex [or from reflexive essay, your eye]). The right angle triangle does have metric of the Pythagorean Theorem, which relates 1D to 2D via (ir)rational numbers (but does not solve for transcendentals).

There is a very special place for the golden triangles. Two kinds of triangles apply here, depending on best books writing whether the shorter or longer distance is used for the triangle's base. Golden triangles facilitate a perfect relationship between particular two circle's circumferences and a straight distance. Yes, this is the fundamental reason for the existence of particular atomic orbitals, which is driven by the exchange in the electron's 2D and essay on eternal is the price photon's 1D energy . Best Books For Essay? This is not strictly about the squaring of a circle but it is close (it's about the difference in 2D energies). Differentiate by compare and contrast 3. Finally, there is an aspect to the number 3 as the fundamental qualitative differentiator of nature. We are mostly familiar with the dualities such as the real-virtual (Yang-Yin) or odd-even or ordered-creative but there is also a lesser known differentiator by three. Yes, we say animal, mineral, vegetable and think it special, but here we are very fundamental.

Pre-atomic, I'd say. So much so the best crop circles are worth studying just for that. [I would not go inside a crop circle for more than a few seconds when the circle is less than a day old #151; it is about the 3D energies.] Alchemy's sulphur, salt, and mercury gets into that as well but without geometry it's an on eternal vigilance price of liberty arduous road. The Quantum Pythagoreans book explains what is at each corner of the Tetractys and books for essay writing that's what it's about. When you see a triangle with some symbol in the center (a dot, an reflexive essay eye, dragon), take such symbol into best writing, 3D of the apex of a tetrahedron to see if it means something to you. Instructions: Draw horizontal and vertical lines. The intersect is the origin O. Draw a semicircle of radius r around O . Homeschooling Essay? This makes point V.

Draw a circle around V of for essay radius r. Now that we divided a circle into exact thirds, you can make a three pointed (Mercedes) star or a three sided star of a perfect triangle. In the illustration the larger triangle divides the circle with three exact cords of length c for a perfect three pointed star. The smaller (red) triangle divides the essay vigilance circle with six exact cords of length r resulting in a perfect hexagon or hexagram. You can verify (using the Pythagorean Theorem) that the relation between the books for essay cord c and cord (radius) r is: What physical entity is proportional to r 2 ? If you know what that is, consider that the square of the cord c is three times that. A puzzle of a bad souffle: Given a square, construct a new square that is exactly one third of the original square. You can be fairly certain that the person will try to partition the on eternal price of liberty square in some way but the solution is to erect a triangle on the square's side and then obtain the radius for the circle that covers the triangle. Best Books? Radius r is the side of the new square. [In our case the bad souffle does not cave in but runs over the rim.]

It is not possible to reverse engineer a souffle without stepping back and reflexive essay understanding the relationships between the ingredients and their proportions #150; as well as the irreversible nature of the baking process. Can you apply the best writing construction of the geometric mean in the solution of this puzzle? Could you use the geometric mean to generalize this puzzle for all possible ratios of business plan square areas? If so, you would then be able to books for essay writing, divide a square into any number of squares, including squares with irrational sides. The geometric mean equates the perimeter (or area) of any rectangle to the side (or area) of a particular square.

Could squares with irrational sides be included in the general division of reflexive essay a square into any and all other squares? If so, does it mean that geometry does one up on arithmetic once again because arithmetic cannot give you the exact irrational number for the square's side? Finally, if energy of a moving body is for essay, proportional to its velocity square(d) , can you divide such energy square into as many smaller square energy components as you wish? (Via a collision, gravitational attraction, or some other action-at-distance?) A six sided star, a hexagon, is prominent in virus structures. Essay International Business? Hexagons are partioned into a six-triangle grid, which serves -- through a geometric relation -- to identify almost all viruses. This is a complex topic. For example, a virus' hexagon is rendered benign with a pentagon [my own thing]. The overall structure in 90+% of viruses is icosahedron . Best For Essay? Although labeled 'an esthetically most pleasing shape' by some -- with 5-fold, 3-fold, and essay culture international 2-fold symmetries -- all mainstream scientists ignore the morphing nature of the virus first brought forth by Rife (bio) [virus approaches under a friendly flag and morphs].

Because the current work on viruses discloses but the for essay writing stained (i.e. dead) viruses, the mainstream is still way behind Rife. If you understand the corrupting mechanisms in the present day medicine, you will know why you do not have to narrative papers, join a walk for or against this or that disease. You don't have to follow, or agree with, generally published explanations but spend your money and time your way -- and a better way at that. There are several recent breakthroughs in virus' geometric construction. The geometric steps in virus' formation are : diagonal projection of a cube resulting in a hexagon; slicing-and-projecting a cube grid resulting in a hexagram (aka the best books writing Star of David); and rotating-and-zooming (as shown above, [which is the final projection onto the material plane]). I see some of these elements in the crop circles and, short of brief essay friendship taking sides, I'd like the virus construction viewpoint represented in crop circle analysis. We are dealing with a very advanced technology but it is very advanced only best books, because the mainstream science coming from the universities is narrative papers, primitive and corrupt. In practical terms the twelve pointed construction is about the books design of a clock's face.

In astrology the twelve Signs of the Zodiac is essay, about the for essay writing twelve sided division of the Solar ecliptic. There is an even more interesting side : There are twelve computable states along the culture international periphery at the third level of the Great (Golden) Pyramid. In the infinite superposition of the virtual variables (aka wavefunctions), there are geometrically enabled states inside the writing pyramid that allow a computable state to form. Yes, infinities can be worked and the Quantum Pythagoreans book gets into that and at all levels of the pyramid. Our construction for on eternal price of liberty, the twelve fold division of a circle also divides a circle into eight exact segments, or angles, because the 45 degree diag onals are available for free from our twelve point construction if you make full circles (and don't stop at the intersects with the central circle). This is books, also true the other way: When constructing the eight point division that is a regular octagon, the twelve fold division happens as well if the central circle is drawn in full (and you don't just mark the intersects with the cardinals). So here you have the combined 8 12 point star construction.

After a short Internet search I did not find an 8 12 point star common construction . Essay Narrative? I found one logical assembly having the Chinese Zodiac on the outside circle and books eight binary Paqua states on friendship the inside circle. (This tells me divination is intended but, because of our inherent construction feature, I'd turn it around the other way : 12 sides on the inside circle and 8 points on for essay the outside circle. Reflexive Essay? This is for essay writing, counter-intuitive but there could be [is] a form of business financial projections Tai Chi in best books, this.) The common construction of the eight and 12 pointed stars starts with the combined two and three pointed stars. As you double the count the ratio stays the same : 3 to 2. (As you double the points you go up by an octave.) This is a musical ratio and a harmonious one at that. Financial? What planets subscribe to this ratio? It is not Venus-Earth but it is on the Venus page. The eight pointed star is full of symbolism associated with Venus and the transformations via the diagonals.

The ccw octagon is for essay writing, harmonious and made by Earth-Mars interplay, too. So enjoy the eight-point star construction here via the cardinal and semi-cardinal directions but the Venus page has a lot more on the eight fold division of a circle, including the Hunab Ku symbol. These watch face designs are inspired by business financial projections the Mesoamerican Hunab Ku symbol. Instructions for drawing a 12-pointed/12-sided star: 1. Draw a horizontal line and erect the best vertical line. The intersect is the culture origin O. 2. Draw a full circle of radius R around O . This will be the clock face. 3. At each of the horizontal and vertical intercepts draw additional circles of the same radius R. 4. The intercepts of the central circle with the cardinals and with the other circles yield the twelve points exactly distanced around the central circle.

Can you see how you could make a 24 point star using the diagonals? Almost every month we offer quick topics of general interest. Best Books For Essay Writing? In May 2011 a single construction shows how to make both the 24-point and 16-point stars in just one construction. Perfect star families. It is easy to draw stars using geometry's tools, a straightedge and compass. By now we want to make stars geometrically, not just for perfection, but also because only the perfect stars manifest in nature. A circle can be divided exactly into 2 , 3 , 5, 15 , and 17 equal segments, technically called constructible polygons. (Some exclude the 2-segment division because it yields but a virtual line of a circle's diameter #151; but I include it.) You may call this the essay narrative 'fundamental' or 'primary' or direct sequence of perfect stars. Since any and all segments can be also exactly (evenly) divided by best for essay writing 2, you can find all stars that have their points exactly spatially distanced by geometric means. You can also say that the doubling expansion forms a perfect star family. For example, you can make an eight point star or a 64 point star from business projections, a two point star through simple halving of distances. Best? From a three point star (above) you can make the exact hexagon and from there the homeschooling and public and contrast essay twelve point star of the writing Zodiac or do a layout of a twenty four point star for Feng Shui.

Starting with a 2 point star #151; the only direct even star #151; you can construct 4, 8, 16, etc. stars you could also label the reflexive essay 'evenly even' sequence of stars. This is the original Pythagoreans' terminology, which presently would be called the 'binary' sequence of stars. From the 3 point star you can continue to halve each side to make the best books 6, 12, 24, etc. point stars. From the five-point star you can make the essay culture international 10, 20, or 40 point stars. Every perfect star with the even number of points will have symmetry about an axis and about a point. If you think there is no such thing as a two point star, it is on books for essay writing the Venus page and it is formed by the combined Neptune-Pluto 3:2 orbit.

The stars that are left out from brief, direct and doubling constructions cannot be constructed exactly. For example, you cannot make a nine point star directly #151; or indirectly from a three point star. The seven, eleven, and best books for essay writing thirteen pointed stars are also not constructible. Numbers that divide a circle exactly could have a name of their own. A good fit is 'circumpositional,' for these numbers compose in a circle exactly and will be [are] prominent in atomic constructions. Carl Gauss recently added the 17 sided polygon as the perfect star.

The 15 sided polygon is in Euclid 's Elements , Book 4, Proposition 16, and is made by a combo of a three and culture business a five pointed star (a 5-point star is evenly rotated three times around the circle). One interesting property of the perfect star families is that they do not intersect directly. A sequence growing from each of the direct perfect star number does not match (overlap) with another sequence. That is, from 2 we get 4, 8, 16, 32, 64, 128, 256, 512, 1024 , 2048, 4096, 8192, 16384, 32768, etc. from 3 we get 6, 12 , 24 , 48, 96, 192, 384, 768, 1536, 3072, 6144, 12288, 24576.. from 5 we get 10 , 20, 40, 80 , 160, 320 , 640, 1280, 2560, 5120, 10240, 20480.. from 15 we get 30, 60 , 120, 240, 480, 960, 1920 , 3840, 7680, 15360, 30720.. from 17 we get 34, 68, 136, 272, 544, 1088, 2176, 4352, 8704, 17408, 34816.. Each member of the perfect all-star family has but one origin.

Once a number becomes even it stays even. 3, 5, 15, and 17 make the only exact odd stars. A circle is a zero pointed star having an books writing infinite number of points. On a circle there are no inbound-outbound changes and, therefore, no points. Topologically, however, a circle is composed of infinitely many geometric points.

This is a technical play on reflexive essay words. However, a single geometric point, a 0D point, has an infinity built within it [yeah, takes work]. 360 does not divide a circle exactly. 260 does not divide a circle exactly (Mayan Tzoltek calendar). The end of the Tzoltek calendar is not (cannot be) synchronized with a rotational parameter such as the precession. It is conceivable the for essay writing Mayans had difficulties reconciling the rotational parameters (based on transcendental numbers) with some linear time-measuring parameters. Essay On Eternal Vigilance Is The Price Of Liberty? The numbers' unexact nature would lead to disaster conclusions. Well, yes, it could have been their own square-a-circle problem. 320 does divide a circle exactly and the 1/320 (reciprocal) is called ro by the ancient Egyptians. While a circle can be divided exactly by hours (24) or minutes (60), a circle cannot be divided by hours and minutes (24x60=1440). 60 does divide a circle exactly and the sexagesimal (60-base) system is for essay, first used by the Sumerians (2000+ BCE).

Although all mainstream math books claim we use 60 minutes and 60 seconds as a result of essay friendship Sumerian and Babylonian cultures, none of best for essay writing these math references mention that while 60 does divide a circle exactly, a circle cannot be divided exactly by minutes and seconds (by 3600). But of course, mainstream math is cluless on what the exact geometric circle division brings to and public compare essay, the table. While a circle is divisible by 10 exactly, a circle is not divisible exactly by a hundred or a thousand or any higher decimal multiple. The decimal fraction format aka the decimal fraction notation is not suitable for the circular geometry beyond the first decimal point. Is it strange the Mayans #151; while having the positional notation of base 20 #151; had no sub-unity base-20 fractions? Perhaps not. Just as in the decimal and sexagesimal systems, the base 20 (vigesimal) system is useless past the books writing first vigesimal point in circular geometry. One star inside another star.

Among the essay price of liberty applications are spatial designs that combine perfect stars. In watch design, for example, the books writing circle being divided by essay friendship twelve looks fine and is harmonious. In addition, it is harmonious to overlay the 12 point layout with triangular, square, or pentagonal designs. You would not want to put a seven point star with a triangle together in for essay, the same (concentric) circle, for example, unless you want to invoke disharmony. Essay Papers? Six gets tricky because it is disharmonious with larger numbers but is harmonious with five, making a pentagon (not a pentacle). There is also a disharmonious ccw pentagon and that one does not include six.

When using but a single star you choose one from the perfect star families. When combining stars, however, you also must deal with harmony. A doubled star is always harmonious with its parent star -- they differ by an octave, but not all star combinations are harmonious. We are talking about harmony in point symmetry, which is best for essay, applicable to both the micro and the macro. See the book. If a musical tone x is harmonious with tone y and reflexive essay y is harmonious with z , is z harmonious with x ? Not always.

The book explains harmony's geometric foundation and then the star drawings bring harmony into best for essay, the visual range. Quantum Pythagoreans provides the formula for reflexive essay, harmonious musical notes and you will also know why some stars just do not feel right. Harmony is not just extended to best books, the macro. Brief Friendship? Harmony is fundamental to both the micro and best books macro constructions and, therefore, to stability in general. Thanks to Paganism, a five-pointed pentacle star is presently classified as harmonious (opening) or disharmonious (banishing). In the compare book you'll learn how ANY and all stars can be classified as harmonious or disharmonious. In the beginning was the number #150; and the power of numbers begins ..

The perfect star families of numbers introduce some changes to our perception of universe building and best books writing how everyday reality happens to come about. Mathematicians can make all kinds of star constructions, in 2D and 3D #150; but only the perfect star families can begin to bridge the straight line energies, such as photonic energy, with circular orbits and orbital energies. Because the vast majority of the real energy in the universe is in the form of spinning or orbital energy #150; that is, energy having angular momentum, the perfect star families of numbers take the front seat. Scientists can draw all kinds of reflexive essay curves but these are usually fancies. Mathematicians in particular insist their work has no bounds, yet in their hearts they know their discoveries should have some practical application.

Starting with 24 hours per books writing day and having 80 minutes in an hour, every minute of every day (24x80= 1920 ) would divide a circle exactly. On Eternal Vigilance Is The Price Of Liberty? Such is not the case today. After that, a binary number 1024 would stand for books for essay writing, seconds and continue to divide the day's circle exactly. Essay? One of the new seconds would then be the books writing exact 1,966,080th part of a day. The new second would be somewhat faster than one twentieth of the present second (0.05). While adequate for almost all sports without further division, additional circle-exact divisions are always available #150; something that is not possible to do today. (Once you lose the exact circle division it cannot be recovered.) The sweep of the seconds hand would be 1/3 faster than the present sweep to make one full revolution in 1/80th of an hour.

At all numerical markings in school compare and contrast essay, the illustration on right #150; the hours, minutes, and seconds #150; would not be fractions. For example, the sweep of the seconds hand spanning one half of the quadrant adds up to 128 seconds . One half quadrant, then, is 128 seconds or 10 minutes or 3 hours. The new minute count of 80 per books hour divides a circle exactly and using 80 points around the circle can make the perfect 4, 5, 8, 10, 16, 20, 40, and 80 pointed stars. From the 24 hour clock face one would make the perfect 3, 4, 6, 8, 12, and 24 pointed stars. A pentagram star is harmonious (opening in is the of liberty, Wicca speak) if drawn counter-clockwise and disharmonious (banishing) if drawn clockwise. Once you understand the harmony/disharmony, you will be able to extend it to other stars besides pentagram.

Some counter-clockwise 8 and 10 pointed stars are harmonious but these stars are disharmonious if drawn clockwise. This does not mean the clock's hands rotation should reverse. Books Writing? See the Venus page. Now, could you come up with another sequence that always makes an exact circle division, both locally (by itself) and overall (with respect to reflexive essay, the starting circle)? Yes. Start with 20 hours per best writing day and divide each hour by 192 minutes. Both 20 and 192 divide a circle exactly but, in addition, 20 times 192 is 3840, which also divides a circle exactly. Is there more to this than making new and different watches? You bet. Tiling of pentagons and reflexive essay stars.

Tiling does not involve direct construction but only translation and/or rotation in books writing, two dimensions. Translations are linear (straight) motions. The line provides symmetry about reflexive essay, a (such) line [feminine] while rotations are always symmetrical about a point [masculine]. This does not seem like a big deal but the property that allows (in this case pentagon's) translation or rotation to get to an identical solution is books for essay writing, exceptionally important in universe building (and in the group theory, too) . Tiling of five pentagons to make a cool five pointed star was (first?) published by Kepler in Harmonic es Mundi (1619) When the ancients instructed us to use the straightedge and compass, they were not really talking about constraints because they were talking about essay on eternal vigilance is the price of liberty, geometry. For Essay? Rotation about reflexive essay, a point is about the use of the compass. Straight movement (translation) is about a symmetry about a line and perhaps you could see now that the line of symmetry is a virtual line #150; that is, the line of symmetry is an empty slit. (Would you go as far as to have Justice brandishing her sword with a slit down the middle of the blade?) The virtual line has powerful geometric properties but you do not want to ask a woman about that. Not that you couldn't, it's just that the explanation is nonverbal. The pentagon template for the illustration on for essay the left was obtained with MS PowerPoint by selecting AutoShapes .. Basic Shapes. Pick the pentagon object. On the essay newer versions it is Insert .. Shapes .. Basic Shapes.

If you tile five pentagons you get the five-point star in the center. Now, if you take five five-point stars and arrange them around with their points touching, do you get a pentagon in the center? You always want to test for reversibility , even at the expense of appearing dyslexic. Relations are reversible only under certain conditions and you want to best books for essay writing, know what they are. If you assume relations are always reversible as they are in algebra, you will 1 ) understand but a limited subset of reality [if you are lucky] and/or 2 ) misinterpret relations that are not reversible.

For example, if there is a quantum mechanical explanation of gas pressure, there could be a way of making the phenomena reversible. Reflexive Essay? Now, how would you reverse the rotation of for essay writing a light mill? (Give it a thought and get the answer .) We readily apply force to get things moving. So, how would you reverse 'something' and have the force arise? A circle of essay friendship stars, a pattern of best books writing stars: Testing for reversibility is crucial in the understanding of relationships. Dyslexia is compare and contrast essay, a condition that is constantly reversing relationships in all modalities: verbal, tonal, geometric, written -- to see if the reversal possibly acquires another meaning, or if the reversal carries no meaning. The Quantum Pythagoreans book treats the difficult topic of relationships by novel exploration of dependent-independent properties of a relationship. For Essay? You will then understand and normalize the difference between, for example, 'planning your work' and 'working your plan.' The tiling construction #151; that is, movement about a point and/or translation along a line, of some objects may result in the appearance of another object.

This is at times referred to essay narrative papers, as negative space. Best? While it is true that the original object is real and in some respects positive, the 'negative space' label is but an introductory way of reflexive essay looking at it (and a left-brain way at that). A good way is to for essay writing, see this as the act of creation of the virtual object . When working the Great Pyramid, you may want to think of the chambers and passageways as virtual objects or empty-space objects. Reflexive Essay? It really helps. Self test:-) Straighten up two adjacent fingers. Do you see a difference if you think of these fingers as two closely spaced pencils #150; or as an empty slit or space that is best, between the pencils?

Photons and electrons do, for they make very different patterns for a single bar, two bars, a single slit, or a dual slit. For brainwork: 1 ) How is it possible, and 2 ) What is the utility of the result that one pattern ends up in the left side of the brain while the other in the right side? Ancient Greek-speaking scholars debated geometry and arithmetic, and understood the complexities even without a PC. A circle is an angle (of 360 degrees) that is divisible by three exactly using geometric means. This result is significantly more interesting than the mainstream mathematicians' proof that an angle is not, in general, divisible by three. If you think of a circle with the orbit (cosmic) and/or orbital (atomic) applications in mind, you will see there is lots of fun in figuring out what works[, rather than beefing up your resume with things that don't]. So, the on eternal vigilance of liberty ancient riddle about dividing the angle into thirds has more than one answer and no answer is the wrong answer. It is, however, a parting, or the Tau riddle that to best, some makes all the difference. But again, no angle can be divided by three exactly arithmetically. International? No angle can be arithmetically divided exactly by any rational number even if such angle was first obtained geometrically and exactly.

A circle cannot be divided by best books writing 7 or 9 equally and exactly. This fact may lead to some new discoveries but if your skills are mostly in arithmetic you'll likely think of it as a curiosity. Essay Is The Of Liberty? That is the basis of reductionism, for a reductionist first makes a claim that arithmetic is just as good as geometry (brain grouping), and then happily ignores the advantages of geometry. Similarly, equating irrational and books for essay rational numbers is erroneous but the mainstream math guys think them equal and miss a lot (see incommensurables). Yet, the best example of the essay vigilance of liberty power of geometry is in books, the construction of the reflexive essay so-called geometric mean. Here, the semicircle and the Pythagorean Theorem produce a square root of any rational or irrational number. Moreover, the geometric mean can multiply two irrational numbers together and produce an exact result, the infinite mantissa and all. No computer can do that.

The bottom line: Geometry always leads, arithmetic always follows. For example, I came up with a nice infinite series that relates the power (exponent) of the golden ratio to two terms of the numbers from the best books for essay Fibonacci series F n . What this relation shows is narrative, that any power n of the golden ratio a/b can be expressed as a multiple of a single golden ratio a/b . Initially I called this the IG series for I nstant G old series. Best Books? I liked the label 'instant' because Kepler got to the golden ratio a/b using the infinite progression of the Fibonacci series F -- but here and now the Fibonacci is not taken to the infinite limit to get a/b . I also discovered that this equation, in a form a bit different from mine, already exists. After a while and once I figured out what is happening geometrically, I could not help but calling it the I vsin G old series [yes, thank you], simply because the geometric understanding opens up a whole new world of applications . Homeschooling Compare Essay? The arithmetic equation by itself is okay but the applications just do not reveal themselves if you look at it algebraically. Try it yourself .. In another example, you know that 360 degrees in a circle is arbitrary. Very soon (just below) you'll see why a circle cannot have another number of degrees that would match the power of books writing geometry. A circle becomes (is) a unitary entity of brief essay its own and arithmetic can deal with a circle only via an infinite series. Having said that, a circle would not be possible to turn into a square #151; but, by using the virtual numbers and books for essay understanding the infinite superposition .. .. A circle can be constructed or divided in finite time only geometrically. Moreover, a circle's manipulations must be exact if you want to understand how an homeschooling compare essay atom is or could be made.

It is now time to visit the best books for essay angles of a circle. Can we map the angles in such a way as to brief friendship, obtain correspondence between geometry and arithmetic? Arithmetic makes it strange. In a calculator, the angle of 360 degrees is divisible by 9 without a remainder, but this is best writing, but an culture business arithmetic computation. In geometry, the circumference of best for essay writing a circle issues from Pi, which is and public and contrast essay, a transcendental number and best for essay writing so you cannot be arbitrary about the length of the circle or the exactness of an angle inside a circle. Essay Is The Price Of Liberty? Yes, the angle of 40 degrees is not constructible exactly because a circle is not divisible by 9 exactly. But it does happen that a circle is divisible by 40 exactly and then an angle of best books for essay 9 degrees can be had exactly. Division of a circle into an arbitrary integer quantity of equal and reflexive essay exact segments (or angles) is not possible. What then is the advantage in writing, dividing the circle exactly by this or that number?

The atom holds together by having electrons wrapping around the nucleus. Because the and public school compare and contrast electron's momentum is also a wave ( de Broglie ), the electron's wave must evenly, that is exactly, close upon best books itself to form a standing and a round wave that is essay, symmetrical about a point. To the Pythagoreans the numbers are everything and this is because numbers actually create things. The mainstream scientists' argument that computer's representation of an irrational number is best books, close enough is, unfortunately, not relevant to atomic construction. Scientists just do not know how to essay, interpret 'precise' and 'exact' in an applications setting. The scientist can divide the circle by best nine to a very large number of decimal places, but there will never be a wavelength that would fit nine times around the circle of the essay orbital. Incidentally, 'fit' is the books for essay original (superior?) word for a 'node' that was used by culture business Newton in his description of standing waves. In today's terminology, we would say that a nine-wavelength, or 18-node, standing circular wave cannot and will not happen (will not fit).

Numbers 7, 9, 11, 13, 19, 21, 22, 23, 25 and others cannot divide a circle exactly. Most of these numbers are incomposite (prime) numbers. Number 9, though, is a composite number as well as a square number, but it cannot be used to divide a circle exactly. Books For Essay Writing? [Does this mean the Chinese Emperors could not sing? Having said that, they might have been good golf players.] Number 5 is incomposite but can be used to divide a circle exactly. What is homeschooling and public school compare and contrast, needed, then, is best books for essay, a class of numbers that compose in a circle , instead of just being composite numbers (composed of financial products of other numbers). These numbers, called circumpositional numbers [by yours truly], are prominent in atomic construction.

Above, we introduced these numbers as the perfect all-star family of for essay writing numbers. If you don't mind additional complexity, or perhaps simplicity, a circle can be divided exactly only through geometric means. Brief Friendship? Another way of saying 'geometric means' is 'spatial distance means.' Yes, the circumference of best books for essay a circle is a transcendental number and school compare and contrast a division of any transcendental number by any real number remains transcendental (a real number is finite). The computer can use only best books writing, real numbers and the length of the circumference is homeschooling compare and contrast essay, then rounded off if it is to be stored in for essay writing, a computer. What this also means is that a computer cannot give you a perfect star. Essay Friendship? What this really means is that you must have movement to create a perfect star. In other words, you cannot make a perfect star via placement or measurement (statically, topologically) with a ruler or a computer or a computer-calibrated protractor.

As a Pythagorean you might realize that you cannot construct a perfect star without a compass #150; that is, you need rotation to complete exact constructions. A compass is the books writing only tool that allows you to enter 2D from 1D. In other words, a compass allows you to turn. A larger implication is that there must be movement even at the atomic core level #151; and essay narrative under radial symmetry the movement is also about frequency. (You might guess here is best books for essay, one of the gateways to gravitation and yes, the philosopher's stone opens up to the alchemist.) The necessity of movement permeates everything. Brief Essay Friendship? Even the best books writing ability to square a circle appears like basic stuff when developing (Tai) Chi in your body (think 3D). Arithmetic makes it practical. Pythagoreans had a category of numbers they called 'abundant.' Such numbers are evenly divisible (without a remainder) by many other numbers. Essay Narrative? Number 60 (minutes in an hour) is a good example as it is divisible by 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60 -- which, not incidentally, are the writing number of points of stars one can make with minute watch face markings. Another convenient (abundant) number is essay narrative papers, 24 (hours in best, a day), but we presently divide the day only by 2 (am and pm) and by reflexive essay 3 (work part), and best books for essay possibly by 12 (entertainment).

Facilitating easy workings in reflexive essay, the geometry of a circle, however, calls for a more abundant number. If you were to come up with a good working number for the total number of degrees in a circle, you may find 360 to be a very accommodating number. 360 degrees of a circle divide evenly into quarters (possibly the most important requirement right next to 365 days in best books for essay, a year). It divides evenly by homeschooling and public school compare and contrast essay 5, 10, and 20, too. You've already noted that the division by 5 (and consequently by best books for essay writing 10) is very practical because a circle division by essay business five brings in the golden proportion. Best For Essay? The practicality of this number won the day even though 360 is also evenly divisible by 9 and a circle cannot be divided by 9 exactly. If you were a stickler for details such as this, you most definitely would insist on 2040 degrees in a circle.

2040 is evenly divisible by 2, 3, 4, 5, 6, 8, 10, 15, and 17 -- all numbers that divide a circle exactly through geometric means. The good old 360 is essay on eternal is the of liberty, not evenly divisible by books 17 and reflexive essay that means that exact geometrically-obtained angles do not necessarily have a corresponding whole number of degrees if we stick to the present 360 quantity notation. Best Books Writing? Both 360 and 2040 are not evenly divisible by papers 7, 11, and 13 -- as it should be. But 2040 is best for essay writing, also not evenly divisible by narrative 9, and we have even better correspondence between geometry and arithmetic. The year 2040 could be the books most harmonious year coming up. [But don't tell IRS. They'll put this number on a form and spoil it.] Now that all people are smart enough to compare essay, handle as huge number as 2040, is best books writing, it time to make our circle geometry as sophisticated as it can be? Are you ready for the sum of internal angles in a triangle to equal 1020 degrees instead of 180? And the reflexive essay internal angle of an books writing equilateral triangle would be 340 degrees instead of 60? Even if you could legislate the reflexive essay change #150; and during the books writing French Revolution they legislated 100 degrees in a circle and business plan projections 100 minutes in an hour -- the bottom line is that there is no perfect number for a quantity of degrees in a circle that would be a whole number or even a rational number. That is, there is no number that would be evenly divisible by best books writing those numbers that divide a circle exactly geometrically.

In the example of the 2040, this number is not evenly divisible by essay culture 16. Best Books? [Some Masonic authors give Freemasons credit for leading the French Revolution. If so, they would certainly be quite ignorant on what to do in and public school compare essay, the aftermath #150; all their Gs notwithstanding.] Whole numbers and best books for essay writing rational numbers are called real numbers #150; a good name. An incommensurable (transcendental or irrational) number can never become a real number unless it is transformed . The transformation is irreversible because we cannot save an irrational number such as SQRT(2) in a computer and retrieve it as (convert it back into) the original irrational number without first taking a nip off the number #150; think Ouroboros and is the visit Circle and Pi . Books Writing? Reversing the reflexive essay transformation calls for addition of the virtual energy [think Isis and possibly Thoth if you are familiar with his eye restoration story]. If you want to get deeper into transformations of rational (real) and irrational numbers #150; think ancient Egyptian fractions [here, you will need to best books, appreciate three things: 1 ) Ancient Egyptian fractions are quite sophisticated; 2 ) Present day scientists are clueless as to the ancient Egyptian fraction applications or origin; and 3 ) Our present civilization is not necessarily advancing.] When dividing a circle with the straightedge and compass, the goal is to make the number to become , for culture international business, the number's geometric construction creates something specific to for essay, that number. Reflexive Essay? There is, then, more to numbers than philosophy, and for essay writing you may want to on eternal price, visit the best books writing original number apps guys, Pythagoras and his fellow Pythagoreans . There is a treatment there of real, virtual, and irrational numbers. Irrationals and transcendentals are in the family of incommensurables but transcendentals are not constructible through the Pythagorean Theorem (from 2D of the narrative curve to 1D of the hypotenuse), while additional differences between irrationals is based on applications. [There are good and best books for essay bad numbers and some of them have an infinite mantissa.]

What does a star in a circle represent? What is the reflexive essay meaning and symbolism of a star inside a single circle? The point count of the star is about the wavelength multiples that curve and create the atom. Don't bother with scientists' point electron orbiting core pictures, for atomic electrons are really standing waves having point symmetries (symmetry about the core). As always, you will need to learn which stars are geometrically constructible and can be actualized, and which are just the arithmetic's (or computer's or religion's) fancy. Is the atomic core composed of standing waves? You bet.

Scientists have way too much invested in the solid and static core hypothesis and so it is best for essay writing, safe to talk about the pulsing and standing waves of the core. Scientists are way off and, for example, they made up strong nuclear force because they do not understand the plan wave nature of the core. Best Books? In a way this is okay, for you can make many advancements while the scientist remains clueless. For example, the core's shape is not necessarily spherical. With all their equations, scientists think highly of homeschooling and public school compare and contrast whatever it is they describe with them. Saying that the scientist will remain clueless is no idle talk, however. Books? On our Circle Pi page we also highlight the inadequacy of algebra, for algebra's constructs cannot deal with the operation of equivalence. Narrative? Algebra completely misses irreversibility, too. As a Pythagorean you want to books writing, figure out essay, what entity will prevail in the interaction with a standing-wave electron and with a standing-wave proton. Why, could you then do a precision surgery on the atom? Seven pointed star.

A circle cannot be divided by seven exactly. Yes, we can say that seven people cannot share a round pizza equally, and leave it at that, except that the number seven is the first number with such property. When things are happening inside a circle #151; that is, when things are spinning and evolving, the wave folding encounters the number seven and consequent inability to fit around the circle (and make a perfect star). When you examine the books for essay Mesoamerican Hunab Ku symbol, there are two seven-sided areas (heptagons) and now the challenge is to explain that. Business? The seven sides are not drawn equal in length and that gives the symbol some credibility. The heptagons pivot into 3D and now it gets really intriguing. If we don't take the Hunab Ku (some say Hanub Ku) as a product of coca leaf-chewing fancy, there are many interesting things happening around the number seven.

I'd be careful in best books writing, using the seven pointed star. Adopting a regular heptagon or a regular seven pointed star shows you don't get it. So I'd draw the star free hand or use an irregular heptagon. Mayans have a gap in their seven-segment Ouroboros too. The Goddess Seshat's symbol from ancient Egypt is a contextualized seven-leafed plant (she is a scribe, which means she is a magician). The leaves spread out in a star configuration, but the resulting seven pointed star is not regular. Essay Friendship? [If you think the symbol is a cannabis plant then that's fine by me. However, geometry prevails (has priority) while cannabis also has 5 and 9 leaf varieties.]

The Statue of Liberty has a hair dress with seven rays. The symbolism of her 7-point star is rich with 'seven seas' and 'seven liberal arts' interpretations, but I prefer to look at it geometrically and enjoy the best books writing fact the rays are not regular. The wonderful part of the circular geometry is that it needs to be treated separately and international carefully. Euclid may have proved that no two Natural numbers (integers) when put in best books for essay, a ratio will result in an incommensurable (irrational) number. But some incommensurable numbers when put in the ratio (or are proportioned) could result in a rational number. You may want to friendship, reflect on best books for essay what it means.

As far as Euclid goes, not much. After all, Euclid talks about what does not happen. Essay On Eternal Vigilance? But what does it mean when transcendental -- that is curving -- and straight line (ir)rational geometries meet at certain points? Think transformations and visit the Proofs page that talks about the squaring of a circle. Understanding the angles in a circle certainly takes you to another and very substantial pursuit of best books universe building. Looking back, is there some work that was done just in this area? But of course, you'll have to vigilance is the of liberty, step over the reductionists, yawn at the popularizers, and laugh at people who allow to be called experts. Best For Essay Writing? [I'd bet 10:1 they will talk about running out of energy.] The ancient Egyptian fractions have the numerator expressed as an oval having the value of 1 . It is projections, a symbol for a unitary entity that has symmetry about a point such as a circle or an ellipse. And if you have two circles that you want to divide into best, sub-unity fractions, are we really talking about two atomic orbitals and the possible (energy) fractional values they can acquire during an electron jump? So now you have yet another quest to friendship, make. A road where you will also discard all the modern mathematicians musing at the awkwardness of the ancient Egyptian fractions. Books? The Rhind papyrus has the 2/n expansion and now you know what the 2 is about.

Riemann sees a sphere with longitudinals that, with identical curvature, converge and meet at the poles at finite distance where they close upon themselves (think atomic orbitals in a closed 3D topology). Although Riemann, a math guy, did not have an atom in his mind, his geometry is 'parallel yet finite.' He discovered an unusual way of obtaining all incomposite (prime) numbers. We have three book reviews on business plan financial this remarkable individual. Then there are the scales of the books writing fish [yeah, the dumb fish]. The sweeps of the scales subtend a particular angle. Do you think a fish could fly or extract energy from the swirling water around it by using the essay vigilance geometry of its scales? In reverse, could you work the straight-moving energy to close upon itself and make an atomic orbital? Think pyramid geometry and best writing Schauberger . Illuminati, Masons and reflexive essay New Order Guys. Pythagoreans, too. Symbolism is for essay writing, about associating something with something similar.

Pythagorean logic, for example, says that two points make an axis and then the number two is behind the mirror symmetry, aka the axial, even, or feminine symmetry. As a Pythagorean you have no problem with that, and reflexive essay wouldn't use the term axis of evil because both the constructive and best books for essay writing destructive energies exist about an axis (about 1D). You'd then apply one point of essay 0D as the source for rotation and best books for essay writing consequent (odd, masculine) symmetry. But you are also smart enough to figure out that after 3 points (of volume) you enter a different, virtual domain that is based on and contrast the number 4. Associations can go on and on and are thus unbounded, and in a fine distinction the associations become infinite relationships. So now you can relate and associate from here to eternity and each time you may get to a different conclusion.

You can now perhaps see the possibility of making something bad or evil out of something that is pedestrian or even boring. So you want to writing, ask if the result you reached is beneficial or not. If you think accusing someone of evil thoughts is beneficial to your religion then you are a part of reflexive essay a religion that is sustained by attempted oppression of others. In short, your religion is not based on truth. Best Books Writing? In fact, all possible thoughts and all knowledge exist in infinite superposition with each other and is to a greater or lesser degree available to essay narrative, you. You are never fully locked out from knowledge you seek, but its usefulness may not be obvious.

If you keep an open mind you will soon discover that working with infinities is no easy matter. Shutting down your mind (narrow one's mind) is a defensive reaction to an onslaught of information. You may even figure out that all religions attempt to understand infinities and could well be defined just by that. So relax. Infinities can be worked but they need different methods. Things that don't add up simply won't happen.

[So what is my Pythagorean take on the 7-point irregular star? It is about the creation or release (liberation) of energy. As with anything it could have a down side, but with superior assistance (God?) it can be managed and be useful. Oh, the thing about God is that you have to books, ask. It's not because God is busy, but because you get a specific answer to a specific question. Most importantly, you will never get an order or a command: only knowledge.

The action (or non-action) is yours and vigilance is the of liberty is based on books for essay writing your free will and your consequent responsibility for your actions.] Johann Balmer was the and public compare essay guy who opened wide the barn doors of quantum mechanics. Best Books For Essay? Fifteen years before Planck , he came up with the brief relation that produces a sequence of books numbers matching the wavelengths of light coming from hydrogen. These are not just any numbers #150; they are wavelengths corresponding to particular electron jumps and no other. Balmer did for quantum mechanics what Kepler did for gravitation: He came up with the math equation that matched known experimental data and made successful predictions of other new, yet undiscovered, wavelengths. But there is a bit more to it.

Balmer used integers and square numbers in his relation that were those of the Pythagorean Theorem. Well, good ol' Pythagoras was not only right all along but the breadth of narrative papers his #150; some say HIS #150; teaching was also the foundation of quantum mechanics. Natural numbers and his theorem are also the for essay writing source of the quantum behavior of atoms. This topic is expanded and has a page of its own. To reconcile the international straight (1D) and for essay the curving (2D or 3D), you will be dealing with the squaring of a circle.

Algebra works fine when things are straight or polynomial or exponential. Generally, however, when geometry picks up another dimension and lines start to be circular, the equations are not enough as the transcendentals come up. The relationship of the squaring of a circle to brief friendship, this page's perfect division of a circle is in best for essay writing, the possibility of linearizing the curved segments (arcs) of a circle and reflexive essay then making a tractable exchange between curving and straight topologies. Books Writing? So there is a continuation to 'how to school and contrast essay, draw a star' and it deals with energy. Can we say that geometry is about energy? Can we say that the exactness of particular geometric solutions goes along with the exact conservation of energy? Of course, Pythagorean methods are used to find new ways while mainstream science continues to be arm chair science by playing up one trivial answer as the only answer.

At times politicians pick up the 'square a circle' analogy and then you should know they are trying to find excuses and explain failures to their supposedly dumb constituents. So, even though the squaring of a circle is not possible using real methods , the squaring of a circle is possible. The complexity of our environment is oftentimes worked through alchemy. There is a method behind the seemingly strange associations and we offer the interpretation of The Emerald Tablet on our Alchemy page. Summary, Cosmic (Macro) Pythagorean discovery of books for essay irrationals spawned the urgent pursuit of geometry lasting over 2400 years.

Kepler brought arithmetic to the forefront by establishing the papers mathematical and arithmetic relations of heavenly orbits. In effect and in fact, Kepler introduced the parameter of time in the mathematical context, which made it possible to make planetary position forecasts #151; forecasting being Kepler's life long passion. Because any two gravitationally interacting bodies always have a solution, the parameter of time derived from such periodic solutions is also repeatable (periodic) and time can be used to make forecasts. Even though time is always a derived (dependent) variable, the mathematical solution establishes reversibility and for essay allows the time parameter derived from this system to business, be used. (The equal sign indicates reversibility but reversibility is by no means a given.) Another way of books writing seeing the brief essay friendship mathematical solution and consequent time reversibility is that the best books writing spatial distance (space) and reflexive essay time form an overlay. In a chaotic system, or in best books for essay, a non-periodic system such as the free economy system, the parameter of school compare time cannot be used to make predictions.

Geometrically, you can take any square and books for essay writing construct another square that has exactly twice the area of the original square. A square can be increasing in infinitely small increments, including irrationals, while the doubled square follows that exactly (think conservation of energy of a moving object). This is on eternal vigilance of liberty, something your computer cannot do. If you think this is no big deal and it is best for essay writing, something for the ancients to contemplate #150; that's fine. The gateway question that makes all the difference is: Can you construct infinity? Certainly the most enticing question is: Can you stop moving bodies at a distance? Light is understood as moving or standing linear -- that is, straight, waves following Newton's analysis of fringes (first observed as fringe rings). As light becomes closely associated with matter, Balmer kicks off the QM atomic pursuit with a Pythagorean relation. A wavefunction is understood as a probability distribution of an atomic particle #151; a great step forward by Heisenberg and von Neumann.

A moving particle has momentum but momentum can also be worked as a wave #151; a second great step, this time by de Broglie. A moving electron now gets to become a wave as well, but this wave must curve #150; that is, become circular , and close upon itself in a symmetry about a point (about a core). The circular (or rounded) electron orbital and the straight path of school compare light need to be energy-reconciled through the squaring of a circle #151; the first difficult hurdle. Ether is taken out of science's purview, which is the for essay Great Reduction making the scientist that much poorer in the end. Scientists cannot make headway and financial projections talk about impossibilities. They reduce everything until there is no intelligence in books for essay writing, their design and take an early exit. (In their last hurrah the angry mob bashes and trashes cold fusion.) Scientists thus successfully reduced themselves into a group of believers in 'light-is-real-and-puts-pressure-on-mirror.' While much of today's physics rests on it, the compare and contrast scientist has no guts and no brains to perform the for essay writing actual experiment measuring the presumed pressure light puts on a mirror.

Scientists are not able to face up to the truth that a light beam does not and cannot put pressure on essay narrative a mirror and best books for essay so they are stuck perpetuating, defending, and proselytizing their dogma. Meanwhile, geometry is receiving new impetus by reviving its superiority over homeschooling compare arithmetic and algebra. The golden proportion, the infinite and instant wavefunction superposition, the understanding of irrational and transcendental numbers, linearizing particular segments of a circle, and the possibility of creating electron waves with harmonics-series energy components just might get the atomic understanding going again #150; perhaps in another country, perhaps by another group of books for essay writing professionals. The cosmic (or planetary) pentagram and narrative the five fold atomic orbital make the five pointed star a joining symbol for best books for essay, both the homeschooling and public compare and contrast macro and best for essay writing the micro. While the atom's orbitals are symmetrical about a point (have radial symmetry), the valence orbitals in a molecule need to close around two points of symmetry (the cores of the homeschooling and public school and contrast atoms are some distance apart).

Yes, the Hyper s tar has an answer to that on our golden proportions page. Self-test:-) If you are not happy about the pentagon base and/or the pyramid being split up or broken up or separated, you are not getting the picture. You may want to think about the red part as being the tangible component while the blue part is the intangible (knowledge, virtual) component. If that does not help, stay in 2D [earthbound?] where the books pentagon is continuous. If you think Two rather than Four is feminine , you are very close. You will need to appreciate that the virtual variables are double-ended and have opposites. Then you'll need to center these variables to relate them in infinite superposition. ( Quantum Pythagoreans book helps in this area too.) The engagement of Three and compare and contrast essay Four is just that: It can be supportive in best for essay, some contexts and in others it could be conflicting, in which case rebalancing work is needed. So, the brief recommendation for The Pentagon is to modify one of the pentagons (or build a new inner one) to reflect the separate golden trapezoid and the golden triangle. The new construction slants upward toward a point. Writing? It does not need to top off in a point as long as the edges are converging toward a point. (If it does top off, think about the essay papers straightness of the best books edges -- it ain't straightforward.)

This pentagonal pyramid is on Mars. The picture credit most likely goes to NASA although I don't know the particulars of image enhancements processing -- none or too much. Note the pentagonal aspect is not regular (a point-to-point straight line over essay price of liberty a ridge and through the center can be made). There is one symbol that uses a circle framed by two vertical lines. These lines are at best for essay times shown as two (usually) identical posts or columns. At other times it is shown as a person holding two vertical sticks, candles, or wands. This symbolism, however, is not about the 3 vs. 4. Rather, the two lines or sticks or columns are about the virtual line of the even symmetry that is relevant to the virtual domain and the energy therein. The upcoming book (late 2013) deals with the construction in the micro domain via the business stars, the rings and the symmetries.

Yes, knowledge is organized energy. Three and best Four must remain separate even though they are also joined. You can then see it as a five sided pyramid made from two pyramids that each have unique properties. The overall 3D structure has almost all numbers in it but the point is that the numbers must play together to their best advantage (rather than just being represented). Do you see the essay on eternal is the number zero? Or is it the infinity? Could it be both? Is the number zero combined with infinity the source of the Pythagorean fire? The root of the pyra-mid? The Central fire?

The hearth of Zeus? Archimedes' fulcrum of the heaven and the earth? Just a plain (free) electron? The convergence of the north and best for essay writing the south poles on decreasing Riemann sphere? A point of the zero dimensional (0D) geometric construct? 'The One' of essay alchemy? Something even smaller than the infinitesimal of Newton and Leibniz?

The dot in the semicircle on the AUM symbol? A computational construct for all of the above from all of the above? The top dot of Tetractys? My favorite : The eye Thoth sends to look for books for essay writing, Tefnut when she runs away to Nubia (yes, the eye finds her). If you think this pyramid is about marriage, you are on the right track. The Three [male] and Four [female] are joined through the point of the infinite.

This joining is applicable to the actual marriage where the joining is through God #150; all there is. The alchemical marriage would have the female part becoming more abstract although the four-sided pyramid geometry continues to be needed for dealing with the infinite. You are, perhaps surprisingly, also looking at the joining of matter at the atomic or micro level. The virtual component (in sky blue here; would be white for narrative papers, the ancient Egyptians) has the best books golden trapezoid for essay narrative, its base, for the longer to books for essay writing, the shorter sides are in the golden proportion. The real component has one of the golden triangles for its base.

If you like alchemy, the triangular pyramid is the king (or sun, gold) while the and public compare essay four-sided pyramid is the queen (moon, silver). Yes, this is the 3 vs. 4. In the ancient Egyptian context, the crown of books for essay Egypt has two separate components: The white (upper, virtual) and the red (lower, real). The gap between the two is the ancient Egyptian blue crown and is invoked at war. (The gap is white in essay on eternal vigilance of liberty, our pentagonal pyramid.) Book by Mike Ivsin. Pythagoreans use the knowledge of numbers to best writing, arrive at harmonious and stable systems. Numbers' properties under different symmetries yield specific solutions. Homeschooling Compare? Numbers create the duality while the engagement of the duality's components leads to organization.

Quantum Pythagoreans applies the best books for essay Tetractys construct and that results in all observable cosmic topologies. The book describes the nature's computational mechanism, especially as it applies to waves. What it takes to transform energies. Your body is a component and homeschooling and contrast it is not the only one. Best Books Writing? The shapes inherent in the human body have certain geometric context that is revealed in the book and it is about your health, too. You will like and appreciate the simplicity and the power of numbers. The Pythagorean management of numbers takes you on the road to reality and invites you to drive it as well. Go or select another topic from the gold post. HyperFlight home Portal in new window. 2005 -- 2013 Backbone Consultants Inc.

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Cultural Analysis of South Korea Essay Sample. South Korea is best, a developed country in brief essay Northern Eastern Asia that occupies the southern half of the Korean Peninsula. It borders the Sea of Japan, the Yellow Sea and North Korea. South Korea lies in best for essay writing the North Temperate Zone and their terrain is mostly mountainous. It covers a total area of 99,392 square kilometers, and has a population of 50 million people. Narrative Papers! The capital and largest city is Seoul, and it has a population of 9,794,304 people. It is a presidential republic and it also has a mixed economic system where the best books for essay economy has a variety of private freedom, combined with centralized economic planning and government regulations. Its main language is Korean, used together with Hangul, the Korean alphabet.

It is export driven, focusing on automobiles, electronics, machinery, ships, and robotics. It is famous for electronic brands such as LG Samsung, Hallyu, also known as the “Korean Wave”, and kimchi, it’s signature side dish. It is the 4th largest economy in Asia, the 15th largest economy in the world by nominal GDP, and 12th largest in the world by purchasing power parity (PPP). Cultural Analysis. South Korea is one of the most homogeneous countries in the world, racially and linguistically. It has its own culture, language, dress and cuisine, which is separate and papers very distinct from its neighboring countries. Conservativeness, respect, hard work, filial piety and modesty are characteristics that are highly esteemed by Koreans. For Essay Writing! They are proud of their country, their traditional culture, and their modern economic success. In Korean culture, education is highly valued as the path to status, money and success.

Parents start educating their children as soon as they can in order to make their child the best in business plan projections everything, as they believe that such early practices will help transition their child into books a successful businessperson in the future working world. Similar to other Asian people like the Chinese and Japanese, the Koreans have a strong cultural identity as one whole family. However, they showcase distinct physical characteristics, which differentiate them from other Asian people. There are several cultural components that represent the culture of Korea; Values Attitudes, Manners Customs, Personal Communication, Social Structure, and Education. Family is the homeschooling and public school essay most important part of Korean life. It is the top priority to any Korean as the family’s welfare is much more important than the needs of any individual. Books For Essay Writing! In Confucian tradition, the father is the head of the family, and essay it is his responsibility to provide food, clothing, shelter, and to approve the best writing marriages of family members. The eldest son has special duties; first to his parents, then to essay his brothers from oldest to youngest, then to his sons, then to his wife, and lastly to his daughters.

Members of the family are tied to each other closely as they believe that the actions of one family member can reflect on the rest of the family. Manners represent an books for essay, individual by the way they dress, behave, communicate, and their etiquette, while customs refer to the traditional way that a culture is practice individually, or by a group of people. Workers are expected to bow to brief friendship their seniors when they greet them, and to use only formal language to their seniors, as it is rude to speak informally to someone of higher rank. In Korean businesses, meetings are often held in evenings at a restaurant or bar. Drinking is part of the Korean culture, as Koreans believe that drinking helps to best books writing bond colleagues in the company, and an offered drink must never be refused as it is considered to be rude. Along with drinking, Karaoke is a popular activity after meetings. People who attend the business plan projections meeting are usually expected to sing a solo song. Personal Communication.

In South Korea, the Korean language is the books most frequently used language and the Koreans use Hangul as the main writing system. Quoted from, “The Korean language is spoken by more than 65 million people living on the peninsula and its outlying islands as well as 5.5 million Koreans living in other parts of the world. The fact that all Koreans speak and write the same language has been a crucial factor in essay culture business their strong national identity.” In the present time, Korea boasts many dialects, including the best writing standard dialect used in Seoul and central areas. Even though there are several dialects, they are similar enough for listeners to understand each other without trouble. Social structure, quoted from, is “in sociology, the homeschooling and public school compare and contrast distinctive, stable arrangement of institutions whereby human beings in a society interact and live together.” In terms of Korea’s social structure, the majority of people belong to the middle class, consisting of “civil servants, salaried white-collar workers in large private companies, and best books for essay writing professionals with specialized training, such as engineers, health care professionals, university professors, architects, and journalists.” ( Be it traditional or modern Korea, education is still very important. People at the top of companies require blue ribbon educational backgrounds, as education gives them cultural sophistication and technical expertise that is essay, needed to best for essay writing manage large complex organizations. According to, “Despite impressive increases in university enrollments, the central importance of education credentials for social advancement has tend to essay culture business widen the gap between the middle and lower classes. Income distribution is more unequal than in Japan or Taiwan, with pronounced disparities between college and secondary-school graduates. Many workers know that their comparatively low wages make it virtually impossible for best for essay writing, them to give their children a college education, a heavy financial burden even for middle-class families.

In the workplace, university graduate managers often treat men and is the price of liberty women with a middle school or secondary school education with open contempt. The latter addresses them with rude or abrupt words whose impact is amplified by the status sensitive nature of the Korean language. The result has been bitter resentment and increasing labor militancy bordering on political opposition to the status quo.” ( Impact on International Business through culture. Culture plays an important part in operating a business in South Korea as cultural practices and values affect how Korean people do business. An analysis on the culture and citizens will be done by using the best framework of Hofstede’s five dimensions, which include; Power Distance, Individualism, Uncertainty Avoidance, Masculinity/Femininity, and Long-term/Short-term Orientation. Hofstede’s five dimensions. Here, an overview is presented showcasing the reflexive essay important factors of South Korean culture that is relative to other cultures from other countries.

This dimension refers to the difference in social power. The higher the rank, the more power or authority one has in society. The lower the rank, the less power or authority one has. For Essay Writing! It concepts with the fact that everyone is society is not equal, and it brings out the attitude of the culture towards those inequalities. According to, “At a score of narrative papers, 60, South Korea is best books for essay writing, a hierarchical society.

This means that people accept a hierarchical order in which everybody has a place and which needs no further justification. Hierarchy in an organization is and public school compare and contrast essay, seen as reflecting inherent inequalities, centralization is best for essay writing, popular, subordinates expect to be told what to do and the ideal boss is a benevolent autocrat.” Individualism refers to “the degree of interdependence a society maintains among its members.” ( It relates to how much an business financial, individual chooses to best books express themselves, how much is “I”, and how much is “we”. In South Korea, according to essay friendship, “with a score of 18, is considered a collectivistic society. Best Writing! This is on eternal vigilance is the price, manifest in a close long-term commitment to the member ‘group’, be that a family, extended family, or extended relationships.

Loyalty in a collectivist culture is paramount, and books for essay over-rides most other societal rules and regulations. The society fosters strong relationships where everyone takes responsibility for essay vigilance price, fellow members of their group. In collectivist societies offence leads to shame and loss of face, employer/employee relationships are perceived in moral terms (like a family link), hiring and promotion decisions take account of the books writing employee’s in-group, management is the management of essay is the price of liberty, groups.” Uncertainty Avoidance. The dimension refers to the fact that the future is never predictable, and how much a company is willing to take a risk on certain circumstances. This ambiguity encourages anxiety and different cultures have learnt to deal with this anxiety in different ways. “The extent to which the members of a culture feel threatened by ambiguous or unknown situations and have created beliefs and institutions that try to for essay writing avoid these” is reflected in the UAI score. Business Plan! “At 85, South Korea is one of the most uncertainty avoiding countries in best books the world. Countries exhibiting high uncertainty avoidance maintain rigid codes of belief and behavior and are intolerant of unorthodox behavior and ideas. In these cultures there is an emotional need for rules (even if the homeschooling compare essay rules never seem to work) time is money, people have an inner urge to be busy and work hard, precision and punctuality are the norm, innovation may be resisted, security is an important element in individual motivation.” ( Masculinity and femininity refers to how aggressive a culture is, in terms of achieving success and dealing with competition. Best Books For Essay Writing! A high score indicates that the society is masculine, and is driven by competition, achievement, and success. This trait is developed in school and it continues throughout organizational behavior. A low score means that the society is feminine, and dominant values in the society include “caring for others” and “quality of life”.

A feminine society is essay narrative papers, one where the quality of life is a sign of success, and standing out from the crowd is not admirable. According to, “South Korea scores 39 on this dimension and is thus considered a feminine society. In feminine countries the focus is on “working in order to live”, managers strive for consensus, people value equality, solidarity and quality in their working lives. Conflicts are resolved by compromise and negotiation. Incentives such as free time and flexibility are favored. Focus is on well-being, status is for essay writing, not shown. An effective manager is a supportive one, and decision making is brief friendship, achieved through involvement.” Long or short-term orientation refers to “the extent to which a society shows a pragmatic future-oriented perspective rather than a conventional historical short-term point of view.” Stated in, “At 75, South Korea scores as one of the long term oriented societies.

Notion of the best for essay one and only almighty God is not familiar to South Koreans. People live their lives guided by virtues and practical good examples. In corporate South Korea, you see long term orientation in the, higher own capital rate, priority to steady growth of market share rather than to a quarterly profit, and so on. They all serve the durability of the companies. The idea behind it is that the companies are not here to make money every quarter for the share holders, but to serve the stake holders and society at large for reflexive essay, many generations to come.” Conclusion. In conclusion, South Korea is deemed worthy as a set up venue for an international business. Being a collectivist country, Koreans are group oriented as they are loyal and committed workers. They are also highly avoidant on uncertainty as they are not risk takers, and books for essay their culture believes in rules and security. And Public School And Contrast! This factor directions a safe approach so that money won’t be lost. Also, they house a feminine approach as they value equality, solidarity, and quality in their working lives.

Their managers are supportive ones as conflicts are resolved by compromises and negotiations, and incentives such as free time and best books writing flexibility are favoured. They are also long-term oriented as they are guided by virtues and practical good examples in life. Instead of making money every quarter for business financial, their shareholders, they focus more on serving the stakeholders for as many generations as possible. Books! With its skilled workforce, which breeds positive values and essay vigilance attitudes towards work and life, South Korea is thus, the choice for for essay, this essay. • Mongabay. (N.D). Homeschooling And Public! Retrieved from • Payne, N. (2012, 10 8). Kwintessential. Retrieved from

• Britannica. Best! (N.D). Retrieved from friendship • Geert-hofstede. (N.D). Retrieved from. For more information on best writing South Korea: • Library of Congress – Federal Research Division. (2005, 5). Essay International! Retrieved from

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