41. BRUCE RAWLES FAVORITE SACRED GEOMETRY (& OTHER) LINKS Archimedean solids ArrowNet Math Links Gerald de Jong The geometry Of The polyhedravery nice models of all 80 Uniform Polyhedra fibonacci numbers and Nature http://www.intent.com/bruce/links.html

Links to Sacred Geometry and related sites Source Books and it's relation to the golden ratio and much more! Jonathan Quintin's Sacred Geometry website Michael S. Schneider - author of a MARVELOUS book on sacred geometry, A Beginner's Guide to Constructing the Universe - The Mathematical Archetypes of Nature, Art, and Science - A Voyage from 1 to 10 David Fideler - The Pythagorean Sourcebook and Library The School of Pythagoras ... John Boyd-Brent - The Circle and the Square and the Square Root of Two Links to mathematical sites VRML Polyhedra models with Shockwave - a marvelous and extensive site!!! more wonderful live Polyhedra (zonohedra) animations some wonderful POV-Ray ray tracing polyhedra models ; here is a sample showing a small stellated dodecahedron Poly is a fabulous 3D app that rotates polyhedra in real time, and simultaneously morphs from 2d net (foldup pattern) to folded 3D shape; lots of polyhedra! A must see! Fractal Explorer The Geometry Center has a wealth of interesting info; my favorite interactive application is... ...QuasiTiler 3.0 (from The Geometry Center) ; try changing the "Dimension = " parameter under "Generating Plane") The Geometry Junkyard Steven FInch of Mathsoft's page on The Golden Mean The Divine Proportion Robert Conroy - Structural Elements of Nature and their compounds the Platonic and Archimedean solids ... Fibonacci Numbers and Nature : an excellent tutorial on Fibonacci numbers with nice animations Jim Plank - Origami Page (Modular) Gerald de Jong - Portfolio (geometrical wire frames from expandable/compressable members which dynamically readjust as they are stretched or compressed) Anders Sandberg - Platonic Solids and Their Symmetries Some Random Thoughts about the Occult Correspondences of the Platonic Solids and Their Symmetries mathematicians: Pythagoras ... World of Escher - Recreational Mathematics - Roger Penrose target=new

42. Fibonacci Numbers January 1995) Explains occurances of fibonacci numbers in plants Martin, About Phi,an Irrational Number that has Ghyka, Matila, The geometry of Art and Life http://www.goshen.edu/~poakley/Math150/Notes/Fibonacci.html

43. 51: Geometry Mathematical Tables and Formulas, and available at the The geometry Center Automatedproof of Pons Asinorum; Using fibonacci numbers to make a geometric puzzler; http://www.math.niu.edu/~rusin/known-math/index/51-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 51: Geometry Introduction Geometry is studied from many perspectives! This large area includes classical Euclidean geometry and synthetic (non-Euclidean) geometries; analytic geometry; incidence geometries (including projective planes); metric properties (lengths and angles); and combinatorial geometries such as those arising in finite group theory. Many results in this area are basic in either the sense of simple, or useful, or both! There is separate page for constructibility questions (i.e. compass-and-straightedge constructions). There is a separate page for a triangulation problem (in the geographers' sense, not the topologists'). Included on that page is information about determining location by distances from fixed points. History A bibliography (and some related web sites) on the history of geometry is available from David Joyce. See the article on NonEuclidean geometry at St Andrews. Applications and related fields As appealing as questions on simple geometry are, they are often mathematically speaking rather trivial, so we have little material here. Some of the meatier issues in "geometry" are easily classified somewhere else. Thus you'll have to look elsewhere for topics on

44. Spiritual Structure using the fibonacci numbers. A `tree of life figure, including some of the centersin the `seed of life , is the kabala diagram. Traditional Sacred geometry. http://www.dimensional.com/~ahm/matrix/SpSt/geometry.htm

Human Spiritual Structure: Sacred Geometry Notes from Nothing: This is supposed to be the basic geometry of the universe, the underlying patterns of all existance. The following derivation is said to parallel the creation of the world given in Genesis. First there is the void. Then spirit reaches out in six directions, up, down, back, forth, right and left, creating three axis' which allows measurement and movement. Filling out the axis's results first in a square and then in an octogaon, two base to base pyramids. (In planar figure this also gives the hexagon, and by reprojecting into 3 dimensions the cube.) Straight lines are male, curves female, so spining the octagon to create a sphere generates female from male. Spirit moved to the surface of the sphere and then began to make more spheres. In planar form six more can fit around the circle (Spirit rested on the seventh day). In space perhaps there are also six, one centered out each axis? These are all interlocking, i.e. the center of each is on the circumferance of the others. By rotation this generates a tube torus? which appears to be a torus with a zero inner radius, e.g. a donut without a hole. This is used to generate a figure inside a tetrahedron which in turn generates the various Hebrew letters, by projection back to a plane. [Stan Tenen]. The Greek and Arabic letters can also be formed by a similar process.

45. Read This: Briefly Noted, May 2003 New Visual Perspectives on fibonacci numbers, by Krassimir Atanassova, Vassia Atanassova,Anthony July 1999 Various kinds of geometry, and classics in applied http://www.maa.org/reviews/brief_may03.html

Search MAA Online MAA Home Read This! The MAA Online book review column Briefly Noted May 2003 John de Pillis's Mathematical Conversation Starters is a book of quotations, primarily on mathematical subjects, but also extending to mathematics' links with such matters as faith, belief, art, beauty, music and so on. It also includes a few dialogues exploring various mathematical themes. Here are some quotes I enjoyed: True science is restrictively the study of useless things. For the useful things will get studied without the aid of scientists. To employ rare minds on such work is like running a steam engine by burning diamonds. (C.S. Peirce) Logic is the art of going wrong with confidence. (Morris Kline) That student is best taught who is told the least. (R.L. Moore) Part of the charm of a book of quotations is the pleasure of coming across familiar favorite quotations and the other part is in encountering new quotations to add to one's collection of favorites. Every reader will of course have a different set for the first category, but I am sure the book will provide enough for everyone in both the categories. Undoubtedly a book to dip into again and again and to cherish. [Ramachandran Bharath] Greg N. Frederickson, a Professor of Computer Science at Purdue University, has written two books on dissections, both published by Cambridge University Press: one in 1997

46. InterMath | Investigations | Algebra | Patterns Section This page discuss applications, real world phenomena, puzzles, patterns,and geometry associated with the fibonacci numbers and golden section. http://www.intermath-uga.gatech.edu/topics/algebra/patterns/r06.htm

Search the Site Investigations Algebra Patterns ... Recommended Investigations Choose two whole numbers (number one and number two). Add them together and form a Fibonacci-like sequence (add number one and number two together to get number three, then add number two and number three together to get number four, etc.). End with a total of ten numbers. Repeat the process by starting with two different numbers. What is the relationship between the seventh term and the sum of the terms (for each sequence)? What is the relationship between the seventh term and the tenth term (for each sequence)? Explain. Extensions Would your result be different if you started with negative numbers or fractions? Related External Resources Fibonacci Numbers and the Golden Section This page discuss applications, real world phenomena, puzzles, patterns, and geometry associated with the Fibonacci numbers and golden section. [ web page ] http://www.ee.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html Fibonacci Online Assessment Take a multiple choice quiz that tests your knowledge about Fibonacci, the Fibonacci sequence, and the golden ratio. [ web page ] http://wyvern.school.hants.gov.uk/forms/fibass.htm

47. Easier Fibonacci Numbers New and different An exploration of the fibonacci numbers. Curriculum ReferencesMathematics Levels 34+ Strand geometry, Number, Measurement Statistics http://www.nzmaths.co.nz/Links/Stats/EasierFibonacciNumbers.htm

Site title: Easier Fibonacci Numbers URL: http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibpuzzles.html#bricks Level Rating Purpose of the site: Has the Fibonacci numbers in brick wall patterns, Fibonacci bee lines, seating people in a row and the Fibonacci numbers again, giving change and a game with match sticks and even with electrical resistance and lots more puzzles all involve the Fibonacci numbers! New Zealand context: A range of problem solving type activities, using explanations and simple graphical descriptions. Fun to consider and most of the answers are Fibonacci Nuimbers! New and different: An exploration of the Fibonacci Numbers. A range of simple/complex algebra questions (mainly). Extention ideas. Some browsers may have difficulty downloading these pages. Curriculum References Mathematics: Levels: 3-4+ Strand: Geometry, Number, Measurement Statistics and Algebra Mathematical processes: Problem Solving and Developing Logic and Reasoning

48. Fibonacci Education com Online Directory for Math Education including Algebra, geometry, Trigonometry Mandlebot Explorer Golden Ratio Try fibonacci numbers and Nature http://www.themasteryoftrading.com/11/fibonacci-education.html

...presents a trading strategy based on timeless and powerful market principles. Learn ... with a counter-trend technique that offers multiple intraday trading opportunities. fibonacci education Sponsored fibonacci education website http://www.instinctivetrader.com/index.cfm?affID=tmot1 SDSU: South Dakota State University - You Can Go Anywhere From Here ... State University, located in Brookings, SD, is the region's leading higher education provider. ... Of Arts And Science College Of Education And Counseling College Of Engineering College Of ... www.sdstate.edu/~wcsc/http/fibhome.html Who was Fibonacci Fibonacci , Leonardo of Pisa, Leonardo Pisano, lived in Pisa around 1200 and gave his name to ... Leonardo grew up with a North African education under the Moors and later travelled extensively ... www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibBio.html Fibonacci Numbers and The Golden Section in Art, Architecture and Music The golden section and Fibonacci numbers in art, architecture, poetry and music; for schools ... Fibonacci and Phi in fashioning Furniture Fibonacci in Films Fibonacci and Poetry Fibonacci and ...

49. Fibonacci Metaphysics research into cycles, harmonics and geometry Ratios, shapes, geometry SpaceMagic-Numerology fibonacci numbers Nature fibonacci numbers, the Golden http://www.themasteryoftrading.com/11/fibonacci-metaphysics.html

...presents a trading strategy based on timeless and powerful market principles. Learn ... with a counter-trend technique that offers multiple intraday trading opportunities. fibonacci metaphysics Sponsored fibonacci metaphysics website http://www.instinctivetrader.com/index.cfm?affID=tmot1 Click here to buy The metaphysics of figures symbols in Fibonacci ... 's conception of the universe at Amazon.com leonardo fibonacci The metaphysics of figures symbols in Fibonacci 's conception of the universe Leonardo Fibonacci www.amazon.com/exec/obidos/ASIN/0892661321/avsearch-bkasin-20 fibonacci metaphysics Are you looking for fibonacci metaphysics ? This page provides new information on fibonacci metaphysics www.themasteryoftrading.com/11/fibonacci-metaphysics.html Trading Index 11 fibonacci chart fibonacci cluster locator fibonacci education fibonacci formula fibonacci golden ratio fibonacci in nature fibonacci in nature sequence fibonacci lagged fibonacci leonardo ... www.themasteryoftrading.com/11/index.html Books on the golden section,

50. Soul2Soul-Sacred Geometry By Doug Craft One of the best examples of Sacred geometry are forms based on the Golden One approachuses the fibonacci numbers, and the other is geometrical and algebraic. http://harusami.com/soul2soul/spirit_art/sacred_geometry.html

Select a State Alabama Alaska Arizona Arkansas California Colorado Connecticut Confusion Delaware Florida Georgia Hawaii Idaho Illinois Indiana Inner Bliss Iowa Kansas Kentucky Louisiana Maine Maryland Mass. Michigan Minnesota Miss. Missouri Montana Nebraska Nevada New Hamp. New Jersey New Mexico New York N. Carolina N. Dakota Ohio Oklahoma Oregon Penns. Rhode Island S. Carolina S. Dakota Tennessee Texas Utah Vermont Virginia Washington W. Virginia Wisconsin Wyoming Back to Sacred Geometry by Doug Craft Doug Craft is a fine artist, musician and scientist living and working in Colorado. His collage, photography, and painting explores sacred geometry with forms based on the Golden Ratio. To learn more, and to view Mr. Craft's artwork please visit dougcraftfineart.com What is Sacred Geometry? To me, sacred means something that is symbolic of a trancendent truth, and worthy of study, contemplation, and veneration. When I refer to Sacred Geometry, I am talking about geometry that is derived from or directly related to the structure of nature. Our universe is structured in a highly complex yet sublimely ordered manner. This is a truth that is readily felt by sensitive people, and has also been demonstrated by science and mathematics. Structural forms seen at the microscopic level are repeated at other scales, and the laws of fractional symmetry appear to apply throughout. So, geometry that refers to the structural unity of nature is a powerful metaphor for the mystery of life, and thus sacred. One of the best examples of Sacred Geometry are forms based on the Golden Ratio.

51. Geometry In The Natural World geometry IN. numbers, its value can only be approximated (using our number system Alongwith the fibonacci Sequence (which is a wholenumber system approximating http://www.infinitetechnologies.co.za/articles/geometry1.html

GEOMETRY IN THE NATURAL WORLD The Golden Mean: The Golden Mean, or Golden Ratio as it is known, is an irrational number just like other important numbers such as Pi. This means that it cannot be completely represented by our currently used number system, except as a formula ( Sqr (5)-1)/2. Just like Pi (approx. 3.1416) - Phi, or the Golden Ratio, has an endless number of digits after its decimal point and with no repetition of the digits sequences. Therefore, like other "Transcendental" numbers, its value can only be approximated (using our number system). What is the Golden Ratio, and why is it important? The Golden Ratio is approximately Besides for possessing some remarkable and unique characteristics, the Golden Mean is found in ALL living creatures on Earth. Along with the Fibonacci Sequence (which is a whole-number system approximating the Golden Ratio, discovered by Leonardo Pisano Fibonacci), this ratio is found in plants and animal life wherever one looks. For example, this ratio can be found in fingers one's hand, amongst many other places, and it is prevalent in the skeletal structure of all creatures. The Fibonacci Sequence is as follows: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, ...

52. Fibonacci.html to Western Europe, which at the time was using the Roman numbers. In 1220, fibonacci ssecond book Mis Practia Geometriae (practice of geometry) was published. http://www.northstar.k12.ak.us/schools/ryn/connections/1000-1200/Fibonacci.html

Leonardo da Pisa Fibonacci, Mathematician by Linnea Leonardo Fibonacci, also known as Leonardo Pisano, or Leonardo of Pisa, was the greatest Italian mathematician of medieval Christian Europe. He was born in 1170 a.d in Pisa, Italy. As a child he traveled on business trips to the Middle East with his father, Bonaccio, who was involved with the merchantile business. They visited Eygpt, Sicily, Seria, Greece and many more. As a result of his travels, Leonardo was raised in Bougie, Asia. Where his father served as the secretary to the Republic of Bougie. While he was there he would often join in discussions about math, from mathematicians: he learned from the book Fakhione, on the works of al- Khowarizmi on algerbra, by al-Karhki. From them and others young Leonardo learned new and different concepts of math. When he returned to Pisa he put all the ideas into a book called Liber Abbci (book of the abucus) which was published in 1202. The Emperor, Fredrick II, noticed Fibonacci's genius and invited him to the court, to a math tourniment. Each contestent was asked 3 different questions about algerbra. After that Fibonacci visited the court feriquently. Fibonacci helped introduce Hindu-Araibec numbers to Western Europe, which at the time was using the Roman numbers. In 1220, Fibonacci's second book Mis Practia Geometriae (practice of geometry) was published. It introduced trigonomtry as well as geometry. Fibonacci was best known for his discovery of the Fibonacci number series, where each number is a sum of the two proceding it. (ex. 1+1+2+3+5+8+13...) Also, Fibonacci discovered the golden ratio, rectangle, and the golden proportion; 1.618. Leonardo Fibonacci died in 1240.

53. Date Mon, 12 Feb 1996 From David Fideler Subject Special Course Wisdom, Landscapes and Sacred Sites The Leyhunter Journal Sacred geometry Home Pageby Bruce Rawles Sacred geometry Design Sourcebook fibonacci numbers and the http://www.ibiblio.org/ecolandtech/documents/sacredgeometry-sacredlandscape.html

Date: Mon, 12 Feb 1996 From: David Fideler Subject: Special Course on Sacred Geometry "Sacred Harmony: The Patterns of Nature and the Ways of Knowing" The ALEXANDRIA journal is sponsoring a three-day summer institute on what the study of sacred geometry has to contribute to the world today. The course will be taught by Michael Schneider, author of the recently published A BEGINNER'S GUIDE TO CONSTRUCTING THE UNIVERSE: THE MATHEMATICAL ARCHETYPES OF NATURE, ART, AND SCIENCE (HarperCollins) and myself, editor of THE PYTHAGOREAN SOURCEBOOK AND LIBRARY and the ALEXANDRIA journal. David Fideler - phanes@cris.com THE SACRED LANDSCAPE Homepage SACRED GEOMETRY WHAT IS IT? THE SACRED LANDSCAPE BIBLIOGRAPHY From this website, this reference: - Screeton, Paul Quicksilver Heritage: The Mystic Leys, Their Legacy of Ancient Wisdom Abacus 1977 Keywords: natural sacred sites, megaliths, mounds, petroglyphs, houses of worship, archaeoastronomical observatories, symbolic landscaping, ley lines, religion, myth, folklore, astrology, UFOs, Atlantis, sacred site tourism, prehistoric, ancient, medieval, Europe Comment: The former editor of "The Ley Hunter" examines ancient sites, legends, churches, flora and fauna, heavens, astrology, UFOs, vanished civilizations, terrestrial zodiacs. ley hunting, ley geometry, field work. A huge variety of subjects and theories are covered an excellent and detailed survey. TS Google search engine Sacred Geometry links Sacred Geometry links Lycos Sacred Geometry Links "The Leyhunter Journal"

54. Golden Ratio The mathematical connections between geometry and algebra can be stressedby connecting Phi to the fibonacci numbers and spiral. http://jwilson.coe.uga.edu/EMT668/EMT668.Student.Folders/Meredith/Meredith/Golde

Some Explorations with the Golden Ratio by Sue Meredith An exploration with the Golden Ratio offers opportunities to connect an understanding of ratio and proportion to geometry as well as to introduce historic and aesthetic elements to a mathematical concept. The explorations with a spreadsheet demonstrate Fibonacci numbers and the ratio between each pair. The GSP exploration demonstrates how to construct the ratio geometrically. The use of calculators to prove the definition and properties of this ratio are also appropriate. from Web Page by Ned May(nedmay@Moonstar.com History The name Golden Ratio or Golden Number , named "phi" by the Greeks for the Greek scultor Phidias. However, this ratio can be found in art and architecture long before the Greeks. The Great Pyramid of Giza built around 2560 BC is one of the earliest examples of the use of this ratio. The length of each side of the base is 756 feet, and the height when built was 481 feet. 756/481=1.571725572. from http://ce.eng.usf.edu/pharos/wonders/Gallery/pyrami.jpg The Parthenon in Athens Greece, built in 440BC, examplifies the use of the golden rectangle in many of the dimensions. The spaces between the columns, height to width, are in proportion to the golden ratio as are most of the exterior dimensions.

55. Links fibonacci numbers The fibonacci numbers and the Golden section; The fibonacciAssociation. Fields Medal and Rolf Nevanlinna Prizes. Fractal geometry of the http://www.naz.edu/dept/math/links.htm

Nazareth Co llege The Heart of Excellence Links Home Page Mission Why Choose Naz? Programs ... Site Map Topics Art and Mathematics Careers in Mathematics Computer Resources Ethnomathematics ... Student Opportunities Professional Organizations Link Organization ACM Association for Computing Machinery AMS American Mathematical Society AMTNYS Association of Mathematics Teachers of New York State AMTRA Association of Mathematics Teachers of the Rochester Area CAS Casualty Actuarial Society CSHPM Canadian Society for History and Philosophy of Mathematics IEEE The World's Computer Society MAA The Mathematical Association of America NCTM The National Council of Teachers of Mathematics NIST National Institute of Standards and Technology PME Pi Mu Epsilon SIAM Society for Industrial and Applied Mathematics

56. List Of Speakers of the fibonacci Sequence to High Efficiency Design geometry . Russell Jay Hendel Consequences of Explicit Factorizations of Sums of fibonacci numbers . http://www.mscs.dal.ca/Fibonacci/speakers.html

The Tenth International Conference on Fibonacci Numbers and Their Applications List of Speakers Home Back This is a list of confirmed speakers. The deadline for submissions has now passed. Last update: May 27, 2002. Arnold Adelberg "Universal Bernoulli Polynomials and p-adic Congruences" Octavian Agratini "A Generalization of Durrmeyer-type Polynomials" Vassia K. Atanassova, A. G. Shannon and Krassimir T. Atanassov "On 'Fibonacci Bang' or a new Extension of the Fibonacci Sequence" Arthur Benjamin 1. "Recounting Binomial Fibonacci Identities" 2. "Fibinomial Identities" Kenneth S. Berenhaut "Recurrences with Restricted Coefficients" Paul Bien "A Numbered Icosahedron From India: Hidden Approximations" Nathan Blecke and George Grossman "Finding Fibonacci in Fractals" Tom C. Brown, Peter Shiue and Alan Freedman "Progressions of Squares" Barbara Brunner "The Composition of Number" C. M. Campbell, P. P. Campbell, H. Doostie, E. F. Robertson "On the Fibonacci Length of Powers of Dihedral Groups" "M-Bonacci Numbers and their Finite Sums" Hei-Chi Chan "On Random Fibonacci-Type Sequences" Charles Cook "Some Sums Related to Sums of Oresme Numbers" Curtis Cooper "Divisibility of an F-L Type Convolution" Karl Dilcher and Kenneth B. Stolarsky

57. Conference Schedule 1120, John C. Turner, Some Congruences and Theorems in Goldpoint geometry. 1120 1140, Clark Kimberling, Ordering Words and sets of numbers the fibonacci Case. http://www.mscs.dal.ca/Fibonacci/program.html

The Tenth International Conference on Fibonacci Numbers and Their Applications Program of Speakers Please note: This program does not reflect any last-minute changes Co-authors of the papers presented are listed (in parentheses). Back to main conference page Day 1 - Monday, June 24 Registration (outside Wettaw Lecture Hall) Welcoming address by Dr. David Best, Dean, College of Arts and Science, Northern Arizona University Announcements Monday Morning Session - Moderated by Fred Howard Curtis Cooper (Michael Wiemann) Divisibility of an F-L Type Convolution Tony Shannon (A. F. Horadam) Generalized Pell Numbers and Polynomials Paul Bien A Numbered Icosahedron from India: Hidden Approximations ** Coffee Break ** John C. Turner Some Congruences and Theorems in Goldpoint Geometry Clark Kimberling Ordering Words and sets of Numbers: the Fibonacci Case Jack Lee Some Basic Properties of a Tribonacci Line-Sequence ** Lunch Break ** Monday Afternoon Session - Moderated by William Webb Octavian Agratini A Generalization of Durrmeyer-Type Polynomials Marjorie Johnson The Fibonacci Diatomic Array Applied to Fibonacci Representations John H. Jaroma

58. Global-Investor Bookshop : Fibonacci Numbers, By Nikolai Vorobev numbers 2. Number theoretic Properties of fibonacci numbers 3. fibonacci numbersand Continued Fractions 4. fibonacci numbers and geometry 5. Conclusion. http://books.global-investor.com/books/3557.htm

@import url(/styles/gib_assoc.css); @import url(/styles/gib.css); Global Investor Financial Conferences Financial Glossary Harriman House ... Books Fibonacci Numbers by Nikolai Vorobev - OUT OF PRINT - Our reference code: 3557 ISBN: 0932750036 66 pages, Hb Published by New Classics Library, 1983 Contents Foreword Introduction 1. The Simplest Properties of Fibonacci Numbers 2. Number- theoretic Properties of Fibonacci Numbers 3. Fibonacci Numbers and Continued Fractions 4. Fibonacci Numbers and Geometry 5. Conclusion Buyers of this product also bought Understanding Fibonacci Numbers An Introduction to Technical Analysis - Reuters Financial Training Series Fibonacci Ratios with Pattern Recognition Encyclopedia of Chart Patterns ... The Complete Guide to Point and Figure Charting Email this page to as Text HTML Global-Investor About us Contact us

59. Mathsoft: Well-known Constants: The Golden Mean References Vajda, fibonacci and Lucas numbers, and the Golden Section Theory and Applications,Halsted Press, 1989; MR 90h11014. CS Ogilvy, Excursions in geometry, Dover http://www.mathsoft.com/mathresources/constants/wellknown/article/0,,1971,00.htm

search site map about us  + news  + ... product registration The Golden Mean References H. E. Huntley, The Divine Proportion: A Study in Mathematical Beauty , Dover, 1970. M. Ghyka, The Geometry of Art and Life , Dover, 1977. J. Kappraff, Connections: The Geometric Bridge Between Art and Science , McGraw-Hill, 1991. B. Grunbaum, Branko and G. C. Shephard, G.C., Tilings and Patterns , W.H. Freeman, 1987; MR 88k:52018 C. F. Linn, The Golden Mean: Mathematics and the Fine Arts , Doubleday, 1974. D. Benjamin and the editors of Time-Life books, Mathematics , rev. ed., Time-Life Books, 1970. M. Boles, The Golden Relationship: Art, Math, Nature , 2nd ed., Pythagorean Press, 1987. K. Wiedman, The Golden Mean , part of Rashomon's Home Page K. H. Rosen, Discrete Mathematics and its Applications , 2nd ed., McGraw-Hill, 1991. S. Vajda, Fibonacci and Lucas numbers, and the Golden Section: Theory and Applications , Halsted Press, 1989; MR 90h:11014 C. S. Ogilvy, Excursions in Geometry , Dover, 1969. E. Maor, e: The Story of a Number , Princeton Univ. Press, 1994; MR 95a:01002 J. D. Lawrence

60. Science Math Recreations Specific Numbers Fibonacci Numbers Golden String, fibonacci numbers, the Golden Section and the Golden String A siteabout fibonacci numbers in nature, art, geometry, architecture and music.. http://world.ammissione.it/browse_/Science/Math/Recreations/Specific_Numbers/Fib

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