81. Golden Ratio - Tribe.net join this tribe http://golden-ratio.tribe.net/

82. Welcome - Golden Ratio Golden Ratio Number And Universe. This is a part of a project about Golden Ratio , where students from Italy and Romania are working together …… http://goldenratio.wikidot.com/

83. Fibonacci Numbers - How To Calculate Them In Matlab In mathematics and arts, two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity equals the ratio of the http://www.matrixlab-examples.com/fibonacci-numbers.html

] Subscribe To This Site Welcome Basics Plots and GUI Applications Other Fibonacci Numbers in Matlab The first two Fibonacci numbers are and 1, and each remaining number is the sum of the previous two . Some sources neglect the initial 0, and instead beginning the sequence with the first two 1s. The Fibonnacci numbers are also known as the Fibonacci series. Two consecutive numbers in this series are in a ' Golden Ratio In mathematics and arts, two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity equals the ratio of the larger quantity to the smaller one. The golden ratio is an irrational constant, approximately 1.618033988. The command ' ' changes a number into a string, so that it can be included in another string. The command ' shows the number ' ' with 9 digits after the decimal point. The simple code is here: %Clear screen and memory clear; clc; format compact % Initialize the first two values f(1) = 1; f(2) = 1; % Create the first 30 Fibonacci numbers for i = 3 : 30 % Perform the sum of terms accordingly f(i) = f(i-1) + f(i-2);

84. Golden Ratio « Rixonology.org The “golden section” is a line segment sectioned into two according to the golden ratio. The total length a+b is to the longer segment a as a is to the shorter segment b. http://rixonology.wordpress.com/2008/01/27/golden-ratio/

85. Golden Ratio Golden Ratio Where ideas cross boundaries. New site coming and all that. http://www.golden-ratio.co.uk/

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86. Dawson's Square Root Of 5 To 10,000,000 Decimal Places below to view the instruction page to download all 10,000,000 digits of the Square Root of 5 in Zip file format. Click the right link below to go to my Fibonacci and Golden Ratio http://www.goldenratio.org/sqrt5/

"Square Root of 5" Welcome to one of Dawson Merrill's web pages. I have calculated the square root of 5 to 10,000,000 decimal digits. This is the largest known number of digits computed as of 12/20/99. The next largest contender was 1,000,000 digits. If anyone is aware of a larger and/or earlier calculation, please email me I personally created a computer program to calculate all the digits within these pages without the use of any tools like Maple or Mathematica. Due to space limitations I can only show the first million digits in readable form, but I have all 10,000,000 digits available here in zip files. I have created a download and instruction page to assist you here . I would certainly appreciate any and all help in verification to those who have the resources. Please also visit Xavier Gourdon and Pascal Sebah's web page of records. They track the current records for various other popular constants, including pi, Phi, e, and the square root of 2. Click the left link below to view the first million digits. Click the middle link below to view the instruction page to download all 10,000,000 digits of the Square Root of 5 in Zip file format.

87. Golden Ratio (mathematics) -- Britannica Online Encyclopedia golden ratio (mathematics), in mathematics, the irrational number (1 + 5)/2, often denoted by the Greek letters τ or ϕ, and approximately equal to 1.618. The origin of this http://www.britannica.com/EBchecked/topic/237728/golden-ratio

document.write(''); Search Site: Advanced Search With all of these words With the exact phrase With any of these words Without these words Home SHOP BROWSE BLOG ... HELP Username: Password: Remember me Forgot your password? Help Email " is the e-mail address you used when you registered. Password " is case sensitive. If you need additional assistance, please contact customer support Enter the e-mail address you used when enrolling for Britannica Premium Service and we will e-mail your password to you. golden-ratio My Britannica CREATE MY golden ratio NEW ARTICLE ... SAVE golden ratio Table of Contents: golden ratio Article Article Related Articles Related Articles External Web sites External Web sites Citations Article Related Articles External Web sites Citations Primary Contributor: Stephan C. Carlson ARTICLE from the golden ratio also known as the golden section, golden mean , or divine proportion , in mathematics, the irrational number bc and the investigation in Pythagorean geometry of the regular pentagon, in which the five diagonals form a five-pointed star. On each such diagonal lie two points of intersection with other diagonals, and either of those points divides the whole diagonal into two segments of unequal lengths so that the ratio of the whole diagonal to the larger segment equals the ratio of the larger segment to the smaller one. In terms of present day algebra , letting the length of the shorter segment be one unit and the length of the larger segment be x units gives rise to the equation (

88. Golden Ratio@Everything2.com I believe the geometric proportion served the Creator as an idea when He introduced the continuous generation of similar objects from similar objects. http://everything2.com/title/Golden ratio

89. Great Masters' Materials And Techniques Jul 28, 2008 The Golden Ratio s influence and importance on architecture did not end The fact that the Golden Ratio is an irrational number, makes it http://greatmastersmaterialsandtechniques.blogspot.com/

Great Masters' Materials and Techniques The goal of this journal is to explore and discuss the materials and techniques used by northern and southern European artists from 1100 to 1600 AD. Emphasis is placed on demystifying processes and techniques in the creation of classical art. The goal being to use this knowledge in contemporary artistic endeavors. This journal is part of a student project for the Savannah College of Art and Design. About Me Savannah, Georgia, United States View my complete profile Blog Archive August Entry Four - Being an introduction to perspective ... Entry Three - Being an explanation on the uses of ... Entry Two- The Golden Ratio, being an attempt at d... ... Entry One - Being an Introduction to the Journal a... Sunday, August 17, 2008 Entry Four - Being an introduction to perspective and more of those definitions Few people would disagree that the Renaissance was one of the greatest periods of artistic achievement in the history of mankind. So many artistic discoveries and methods were made during this time that its influence on contemporary artists is immeasurable. In my own personal work I am continually floored by how closely what I do and the methods in which I am taught parallel those of the great Renaissance masters. From foundation arts to graphic design and illustration it seems everything I do has some basis or beginning in the Renaissance.

90. Human Face Your source to the Net's best information on the Golden Ratio / Golden Mean / Golden Section, Divine Proportion, Fibonacci Series and Phi ( 1.618 0339 887 http://goldennumber.net/face.htm

GoldenNumber.net Home Contact Meet the Phi Guy "Phriends" in Phi ... News Phi The Golden Number Human Face SITE SECTIONS: Home Overview Design/Composition Life ... Other Phi Resources IN THIS SECTION: Human Face Human Beauty Human Body Human Hand / Foot Human Teeth ... Population Growth Jump to any topic Home Phi Overview Acoustics Architecture Art Bible Bucky Balls Circle constructions Color Compositions Cosmology Credit Cards Divine Proportion Earth's Golden Ratio Energy Fibonacci Series Fibo's 24 Pattern Five (5) and Phi Foreign Exchanges Geometry Golden Section Golden Triangles History Life Logos and Design Human Hand / Foot Human Face Human Body Human Beauty Development Human Heartbeat Human Health Human Teeth Body Temperatures Animals 1 Animals 2 Plants DNA Mandalas Mathematics Marketing/Design Means Music Orthogons Pascal's Triangle Penrose Tiling Phi Formula Geometry Phi Phonetics Phi's Phormula Phi Symbol Phi to 20000 places Poetry Population Growth Powers of Phi Pronouncing Phi Quasi-crystals Quantum Matter Quantum Time Quincy Park Quotations Software Solar System Spirals Stock Markets Theology Universe Phi Design Contest Affliates Do It Yourself!!!

91. Golden Ratio | Define Golden Ratio At Dictionary.com World English Dictionary golden ratio — n Compare golden section Φ the ratio of two lengths, equal in value to (1 + √5)/2, and given by b / a = ( b + a )/ b ; it is the http://dictionary.reference.com/browse/golden ratio

92. Golden Ratio Discovered In The Quantum World | Science | Epoch Times The Golden Ratio A Golden Opportunity to Investigate Multiple Representations of a Problem Edwin M. Dickey College of Education University of South Carolina http://www.theepochtimes.com/n2/content/view/28208/

document.cookie= "botmtlang=english" The Epoch Times Get home delivery Home Choose your edition ... Print Edition Golden Ratio Discovered in the Quantum World By Rakefet Tavor Epoch Times Staff Created: Jan 18, 2010 Last Updated: Oct 29, 2010 Related articles: Science Inspiring Discoveries PICTURING THE GOLDEN RATIO: Scientists fired neutrons at cobalt niobate molecules, finding resonant notes with the golden ratio. (Tennant/HZB) The "golden ratio," which is equal to approximately 1.618, can be found in various aspects of our life, including biology, architecture, and the arts. Their research, published in the journal Science on Jan. 8, examined chains of linked magnetic cobalt niobate (CoNb2O6) molecules only one molecule wide to investigate the Heisenberg Uncertainty Principle. They applied a magnetic field at right angles to an aligned spin of the magnetic chains to introduce more quantum uncertainty. Following the changes in field direction, these small magnets started to magnetically resonate. Related Articles 'God Particle' Turned Into Music By Physicists Three Fundamental Limitations of Modern Science (Part 1) Neutrons were fired at the cobalt niobate molecules to detect the resonant notes. "We found a series (scale) of resonant notes: The first two notes show a perfect relationship with each other. Their frequencies (pitch) are in the ratio of 1.618 … which is the golden ratio famous from art and architecture," said principal researcher Dr. Radu Coldea of Oxford University in a press release. “It reflects a beautiful property of the quantum system—a hidden symmetry."

93. Mathematics And Art - Wikipedia, The Free Encyclopedia Mathematics and art have a long historical relationship. The ancient Egyptians and ancient Greeks knew about the golden ratio, regarded as an aesthetically pleasing ratio, and http://en.wikipedia.org/wiki/Mathematics_and_art

Mathematics and art From Wikipedia, the free encyclopedia Jump to: navigation search Mathematics and art have a long historical relationship. The ancient Egyptians and ancient Greeks knew about the golden ratio , regarded as an aesthetically pleasing ratio, and incorporated it into the design of monuments including the Great Pyramid the Parthenon , the Colosseum . There are many examples of artists who have been inspired by mathematics and studied mathematics as a means of complementing their works. The Greek sculptor Polykleitos prescribed a series of mathematical proportions for carving the ideal male nude. Renaissance painters turned to mathematics and many, including Piero della Francesca , became accomplished mathematicians themselves. Contents Overview Ancient times The Golden Ratio Pyramids ... edit Overview Galileo Galilei in his Il Saggiatore wrote that “[The universe] is written in the language of mathematics, and its characters are triangles, circles, and other geometric figures.” Artists who strive and seek to study nature must therefore first fully understand mathematics. On the other hand, mathematicians have sought to interpret and analyse art through the lens of geometry and rationality. edit Ancient times edit The Golden Ratio The Golden Ratio , roughly equal to 1.618, was first formally introduced in text by Greek mathematician

94. Applying Mathematics To Web Design - Smashing Magazine Feb 9, 2010 The golden ratio, also known as the divine proportion, is an irrational mathematical constant with a value of approximately 1.618033987. http://www.smashingmagazine.com/2010/02/09/applying-mathematics-to-web-design/

var clicky_advanced_disable=1; Home Shop Graphics Wallpapers ... Applying Mathematics To Web Design By Adit Gupta February 9th, 2010 Design 127 Comments Publishing Policy Advertisement “Mathematics is beautiful.” This may sound absurd to people who wince at numbers and equations. But some of the most beautiful things in nature and our universe exhibit mathematical properties, from the smallest seashell to the biggest whirlpool galaxies. In fact, one of the greatest ancient philosophers, Aristotle, said: “The mathematical sciences particularly exhibit order, symmetry and limitation; and these are the greatest forms of the beautiful.” Because of its beautiful nature, mathematics has been a part of art and architectural design for ages. But it has not been exploited much for website design . This is probably because many of us regard mathematics as being antithetical to creativity. On the contrary, mathematics can be a tool Layouts featured in this post were created specifically for the purpose of this article. During the design process we made sure that all of the designs shown in this article are essentially mathematical in nature; that is, they exhibit order, symmetry and limitation. We also have followed the Web design algorithm [By the way, did you know we have a free

95. New Twitter Design Based On The Golden Ratio [IMAGE] Sep 29, 2010 The Golden Ratio was apparently the basis of the design for the new Twitter. http://mashable.com/2010/09/29/new-twitter-golden-ratio/

96. Phiculator Phi, the Fibonacci sequence, the golden ratio, the golden section, the golden mean, the divine proportion. It s known as many things, but the ratio they all http://www.thismanslife.co.uk/phiculator/

97. Applying The Golden Ratio To Your Web Designs | Design Shack Oct 19, 2010 Today we ll be going over the Golden Ratio and how you can apply simple lessons into your design work. Most of the techniques discussed are http://designshack.co.uk/articles/graphics/applying-the-golden-ratio-to-your-web

98. The Grid System Adobe InDesign file with a grid system for a 568pts x 792pts page that is divided into 12 columns and rows using the Golden Ratio. Includes a 12pt baseline http://www.thegridsystem.org/

Join The Forum Hide Grid Show Grid It permits a number of possible uses and each designer can look for a solution appropriate to his personal style. But one must learn how to use the The ultimate resource in grid systems. Articles 30 Grid-Based WordPress Themes In this arti­cle we have 30 Word­Press themes have been devel­oped using a pop­u­lar CSS Grid Frame­works such as the 960.gs, Blue­print, YUI2 and The Golden Grid. 23.Aug.2010 Step by step walk­through of the design and build process of a grid based Word­Press theme. From the ini­tial Pho­to­shop con­cept, through development. 23.Aug.2010 Long Live the 12-Column Grid When I first crossed the great divide from print to web, one of the ear­li­est things I tried to do was intro­duce a flex­i­ble multi-column grid (you know, like a magazine). 07.May.2010 Tools 960 Grid System Photoshop Action These actions will cre­ate a Pho­to­shop doc­u­ment ideal for lay­ing web­sites out in 12, 10, 8, 6 and 4 columns. 23.Aug.2010 iPhone Grid System A 12:8 (480:320) mod­u­lar grid sys­tem for the iPhone, with the unit of 40px and the gut­ter of 5px. 23.Aug.2010

99. Dreaming In Numbers May 10, 2010 Pingback Fibonacci sequences, the golden ratio, and Delaunay I think it s funny how the golden ratio is so apparent in this video, http://flowingdata.com/2010/05/10/dreaming-in-numbers/

100. Cynthia Lanius' Lessons: The Golden Ratio This ratio, called the golden ratio, not only appears in art and architecture, Golden Ratio Table of Contents. Introduction; Find golden rectangles. http://math.rice.edu/~lanius/Geom/golden.html

Cynthia Lanius Thanks to PBS for permission to use the Pyramid photo. Golden Ratio If you need a definition If you were going to design a rectangular TV screen or swimming pool, would one shape be more pleasing to the eye than others? Since the early Greeks, a ratio of length to width of approximately 1.618, has been considered the most visually appealing. This ratio, called the golden ratio, not only appears in art and architecture, but also in natural structures. Estimate the ratio of the length to width in the rectangles below: length width Answers Golden Ratio Table of Contents Introduction Find golden rectangles. Build golden rectangles. Confirm the ratio using algebra. Back to the ... Email any comments to lanius@math.rice.edu URL http://math.rice.edu/~lanius/Geom/golden.html

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