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         Fibonacci Numbers Geometry:     more detail
  1. The Golden Ratio and Fibonacci Numbers by R. A. Dunlap, 1998-03
  2. The Fabulous Fibonacci Numbers by Alfred S. Posamentier, Ingmar Lehmann, 2007-06-21
  3. Fibonacci Numbers by Nicolai N. Vorobiev, 2003-01-31
  4. 1001 Fibonacci Numbers: The Miracle Begins with Unity and Order Follows by Mr. Effectiveness, 2010-01-13
  5. Geometry of Design: Studies in Proportion and Composition by Kimberly Elam, 2001-08-01
  6. Recursion: Function, Parent, Ancestor, Fibonacci Number, Fractal, Fractal-Generating Software, Shape, Differential Geometry, Integral

61. Mathematical Resources: Constants And Interesting Numbers (Math Links By Bruno K
Ten by Roy Williams Clickery; Egyptian fractions; The Euler Number (geometry andthe bases and other ways of representing integers; The fibonacci numbers by David
http://www.abc.se/~m9847/matre/constans.html
Mathematical Resources
Math Links by Bruno Kevius
This list is continually under development
Mathematical Constans and Interesting Numbers
not a complete list, only what I happened to see...

62. Number
fibonacci numbers and Pascal`s triangle, and fibonacci numbers and the General Mathematicsfor Children, inlcuding Chaos, Fractals, geometry, History, numbers
http://hsc.csu.edu.au/pta/mansw/number.htm
Resource Links MANSW About MANSW Professional Development ... Measurement Number Working Mathematically On-Line resources Teacher References Stage 1 ... Professional Associations
Number
Abacus The abacus is a calculator whose earliest known use is circa 500 B.C. by the Chinese civilization. Addition, subtraction, multiplication, and division can be performed on a standard abacus. Ancient Maths Ancient Science and Its modern fates. Includes virtual tour of Vatican Ancient Number systems Historical facts of Babylonian and Egyptian mathematics Basic Arithmetic AAMT interactive pages that use MathView to provide visualisation of the mathematical ideas. MathView can be downloaded from the site's home page. Biographies of Women Mathematicians Biography of women in Mathematics. Ongoing project of Agnes Scott College, Atlanta Georgia Mike Shepperd's Mathematics Resources site Mike Shepperd's Mathematics Resources site links for teaching and learning for
  • Number Algebra Space Prob and Stats (Spreadsheets/Distrib) Finance (Interest/Loan Repay/Conversion Tables (s/sheets)
Famous mathematicians Index of biographies of famous mathematicians Fibonacci sequence A site for learning about the Fibonacci Series, including an introduction, the rabbit problem, Binet's formula, the successor formula (given only one term in the Fibonacci series, determine the term that directly follows it), binomial form, and the Fibonacci spiral.

63. Noosphere - Sacred Geometry
numbers and the Golden section fibonacci numbers and the golden section in nature,art, geometry, architecture, music, geometry and even for calculating pi!
http://www.technoetic.com/noosphere/resources/Sacred_Geometry/
Noosphere
The Expanding Web of Consciousness Technoetic Vortex Noosphere Submit Site ...
Top : Sacred Geometry
VirtueScience.com
Innovations in Sacred Geometry. Profound secrets of the dodecahedron. The universal matrix of virtues and character development. Free ebook:"Inner Medicine".
About Mandalas and Other Things
Newage website with the Mandala representing the Center of everything. Reiki, Newage watercolors in the Blue Room- virtual Gallery, Peace and much more.
Diagram of Conscious Life
A book on consciousness,Fourth Way/Gurdjieff ideas,spiritual nutrition
Fractal Images by Sharon Webb
This award-winning site features dozens of exotic true color fractals created from Webb's original formulae. 3D "Fractalscapes" and downloadable wallpaper, too.
Sacred Geometry Coloring Book
Graphical images of 42 Sacred Geometry figures.
Sacred Geometry Discovery
Geometric forms employed within an Art of Memory for contemplation of the Kabbalistic Tree of Life and the Decalogue.
Spiritual DNA
Spiritual DNA transformation through the viewing of Sacred Geometric Symbols.
StarWheel Mandalas by Aya
“The StarWheels are a futuristic collection of 72 (6’ x 6’) mandala paintings created by visionary artist Aya. Unifying colors, sacred geometries, archetypal symbols and ceremonial sites, the StarWheels are galactic templates for global sacred celebrations.”

64. FIBONACCI NUMBERS (in MARION)
Elam, Kimberly, 1951 geometry of design studies in proportion and composition/ Kimberly Elam Hoggatt, Verner E. fibonacci and Lucas numbers by Verner E
http://vax.vmi.edu/MARION?S=FIBONACCI NUMBERS

65. Math Links
fibonacci; fibonacci numbers, the Golden section and the Golden String.Fractals. Number Theory. The Prime Pages. Polyhedra other geometry.
http://www.cs.stedwards.edu/math/links.html

66. Sacred Geometry Home Page
Sacred geometry is an ancient art and science which reveals the nature of our relationship to the Category Society Religion and Spirituality Sacred geometry and Art...... intelligence embodied within crystalline structures follows a geometry unfalteringin its 5 (Platonic) and 13 (Archimedean) are both fibonacci numbers, and 5
http://www.intent.com/sg/
Sacred Geometry Home Page by Bruce Rawles
In nature, we find patterns, designs and structures from the most minuscule particles, to expressions of life discernible by human eyes, to the greater cosmos. These inevitably follow geometrical archetypes, which reveal to us the nature of each form and its vibrational resonances. They are also symbolic of the underlying metaphysical principle of the inseparable relationship of the part to the whole. It is this principle of oneness underlying all geometry that permeates the architecture of all form in its myriad diversity. This principle of interconnectedness, inseparability and union provides us with a continuous reminder of our relationship to the whole, a blueprint for the mind to the sacred foundation of all things created.
The Sphere
(charcoal sketch of a sphere by Nancy Rawles) Starting with what may be the simplest and most perfect of forms, the sphere is an ultimate expression of unity, completeness, and integrity. There is no point of view given greater or lesser importance, and all points on the surface are equally accessible and regarded by the center from which all originate. Atoms, cells, seeds, planets, and globular star systems all echo the spherical paradigm of total inclusion, acceptance, simultaneous potential and fruition, the macrocosm and microcosm.
The Circle
The circle is a two-dimensional shadow of the sphere which is regarded throughout cultural history as an icon of the ineffable oneness; the indivisible fulfillment of the Universe. All other symbols and geometries reflect various aspects of the profound and consummate perfection of the circle, sphere and other higher dimensional forms of these we might imagine.

67. NYC Alternative Schools: Web Directory
and the Pascal Triangl Brief articles about fibonacci numbers, the Golden Sectionand the Pascal Triangle. ( Added 2003-01-15, Hits 0, ); geometry from the
http://teachers.altschools.org/links/index.php3?category=39

68. Adresy Matematyczne W Internecie
Favorite Mathematical Constants fibonacci numbers fibonacci numbers fibonacci numbersand Nature (by Ron Knott) Gallery of Interactive geometry JAVA Gallery of
http://www.fsmw.math.uni.wroc.pl/zasoby/adresy.html
Adresy Matematyczne w Internecie
Australian Mathematics Trust

Boxmind.com

bk teachware Series: Support in Learning

Compumath Citation Index on CD-ROM (COCD)
...
The Geometry Center

69. Additional Resources
fibonacci numbers And The Golden Section. Dail's The Sacrament of the LastSupper; fibonacci Gamelan Rhythms yep. Math 111 - Mostly geometry.
http://euler.slu.edu/Dept/Faculty/clair/math/resources.html
This page contains various computer programs and information that augment the course material. Some resources are links to other parts of the web, some are links to interactive pages especially for this course, and some are programs for your Macintosh. The Mac programs have, for the most part, been removed from this page for space considerations. They are all freely available if you look for them. As time goes by, these links are becoming obsolete. Until I teach this course again, this page is going to deteriorate. Sorry 'bout that.
Contents:
General
History
All the history you could want about almost everything in this class is available at the MacTutor History Of Mathematics Archive There are links to specific parts of this archive scattered throughout these resources.
Geometry
  • The coolest site around is the Geometry Center - but the math is advanced. Sadly, they lost their funding so nothing is new here.
  • Also excellent is the Geometry Forum and if you have geometry questions you can ask Dr. Math

70. Mathematics
Difference Equations; Differential Equations; Differential geometry; Dimensions;Diophantine Fermat's Last Theorem; fibonacci numbers; Finite Difference Equations;
http://www.ericweisstein.com/encyclopedias/books/Mathematics.html
Mathematics

http://www.ericweisstein.com/encyclopedias/books/Mathematics.html

71. KLUWER Academic Publishers | Algebra And Number Theory
Annals of Global Analysis and geometry Th. Richard Pavelle August 1985, ISBN 089838-173-8,Hardbound Out of Print Applications of fibonacci numbers, Volume 2
http://www.wkap.nl/home/topics/J/8/
Title Authors Affiliation ISBN ISSN advanced search search tips Home Browse by Subject ... Mathematics Algebra and Number Theory
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Publication Date

A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences

With Complete Bibliography

June 2002, ISBN 1-4020-0717-5, Hardbound
Price: 125.00 EUR / 115.00 USD / 79.00 GBP
Add to cart

Advances in Computational Mathematics

Charles A. Micchelli, Yuesheng Xu 2003, Volumes 18-19 (8 issues) Price: 716.00 EUR / 717.00 USD ISSN: 1019-7168 Add to cart Algebra and Logic Yuri L. Ershov, Sergei S. Goncharov 2003, Volume 42 (6 issues) Price: 1960.00 EUR / 1950.00 USD ISSN: 0002-5232 Add to cart Algebraic Geometry F. Oort September 1972, ISBN 90-0167-080-6, Hardbound Printing on Demand Price: 169.50 EUR / 214.00 USD / 129.00 GBP Add to cart Algebraic Theory of Quasivarieties Viktor A. Gorbunov September 1998, ISBN 0-306-11063-6, Hardbound Price: 154.50 EUR / 159.50 USD / 96.50 GBP Add to cart Algebraic and Geometric Methods in Nonlinear Control Theory M. Fliess, Michiel Hazewinkel July 1986, ISBN 90-277-2286-2, Hardbound

72. KLUWER Academic Publishers | Applications Of Fibonacci Numbers
the importance of the pure and applied aspects of fibonacci numbers in many algebraicnumber theory, field theory and polynomials, finite geometry and special
http://www.wkap.nl/prod/b/0-7923-6027-3
Title Authors Affiliation ISBN ISSN advanced search search tips Books Applications of Fibonacci Numbers
Applications of Fibonacci Numbers
Volume 8

Add to cart

Proceedings of `The Eighth International Research Conference on Fibonacci Numbers and Their Applications', Rochester Institute of Technology, NY, USA
edited by
Frederic T. Howard
Dept. of Mathematics and Computer Science, Wake Forest University, Winston-Salem, NC, USA
This volume presents the Proceedings of the Eighth International Conference on Fibonacci Numbers and their Applications, held in Rochester, New York, in June 1998.
All papers have been carefully refereed for content and originality and represent a continuation of the work of previous conferences. This book, describing recent discoveries and encouraging future research, shows the growing interest in and the importance of the pure and applied aspects of Fibonacci Numbers in many different areas of science.
Audience : This volume will be of interest to graduate students and research mathematicians whose work involves number theory, combinatorics, algebraic number theory, field theory and polynomials, finite geometry and special functions. Contents and Contributors Kluwer Academic Publishers, Dordrecht

73. MATHEMATICS
geometry; geometry Problem of the Week; geometry Center; geometry Junkyard. The First100 fibonacci numbers, Factorized; Leonardo fibonacci; fibonacci numbers and
http://users.rcn.com/whpl/MATH.htm
MATHEMATICS
General Mathematics Sites
Arithmetic
Geometry
Algebra/Trigonometry
Calculus
Calculators
Math Puzzles
Miscellaneous Mathematical Sites

74. 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.

    75. Maths Links
    fibonacci numbers and the Golden Section; Gallery of Interactive geometry; InteractiveMaths Online; The Abacus; Calculus Homepage. Famous Mathematicians.
    http://www.dicksonc.act.edu.au/Library/maths.html
    Maths Links
    Useful Math Sites Spirals in Nature Cool Maths Sites Famous Mathematicians Other Useful Sites Last updated: February 2003
    Dickson College, Canberra, Australia
    Enquires/Comments:
    Joan McKay jmckay@dicksonc.act.edu.au or
    Gary Floyd gfloyd@dicksonc.act.edu.au
    Privacy Statement
    Dickson College

    76. David's Links
    puzzles; The remarkable number 1/89; The fibonacci numbers. Fractals.See David's Fractal Links. Fractions. Continued Fractions. geometry.A
    http://www.ualberta.ca/~droles/link/math.html
    Mathematics
    Constants
  • Favorite Mathematical Constants
  • Fibonacci/Golden Mean
  • Fibonacci The Fibonacci Numbers and the Golden Section The Golden Section in Nature Golden Ratio ... The Fibonacci Numbers
  • Fractals
  • See David's Fractal Links
  • Fractions
  • Continued Fractions
  • Geometry
  • A Gallery of Interactive On-Line Geometry
  • Numbers
  • Print A Googolplex Yahoo! - Science:Mathematics:Numbers Number Theory Web (American Site) Fun With Numbers
  • Pi Pages
  • The Pi Pages The Pi Trivia Game The Uselessness of Pi and its irrational friends A Tribute to Pi ...
  • The Miraculous Bailey-Borwein-Plouffe Pi Algorithm
    Prime numbers
  • Aesthetics of the Prime Numbers Sequence Large Prime Numbers The Largest Known Primes
  • Puzzles
  • The rec.puzzles Archive
  • Sites
  • MathEd: Mathematics Education Resources
  • Software
  • Mathematics Archives - Software
  • Links index Home page

    77. Mathematics
    section fibonacci numbers Figure This! Math Challenges for Families Flatland Aromance of many dimensions Fun Math Lessons Fun Mathematics Lessons geometry
    http://www.c4.net/dyhsci/math.htm

    AP Calculus Problem of the Week

    Abacus

    Algebra

    Ask Dr. Math Algebra

    AP Calculus Problem of the Week

    Abacus

    Algebra

    Ask Dr. Math Algebra
    ...
    Word Problems For Kids

    78. Math 11200 Page
    If you look closely, you'll find amazing facts like where to find the golden ratioin polyhedral geometry, and how to see fibonacci numbers in an expansion of
    http://www.math.uchicago.edu/~mduchin/112/
    Math 11200
    Section 20
    Moon Duchin
    Welcome to the course page for "Studies in Mathematics." This website provides some information from the course, which took place Autumn 2002. Note: you will need Adobe to read many of the documents on this page.
    Announcements
    All of the books that you ordered are in. Please come get them when you can. Your final exams are available to pick up, by appointment. And finally, I'm eagerly interested in any suggestions that students from this section have to offer regarding how this course should be run differently in the future. Please do let me know...
    Links
    The jumpoff pages for your Projects contain lots of juicy links, including: 3D polyhedra you can rotate with the mouse; logical paradoxes to hurt your head; fractals and Mandelbrot sets to create and explore. Lots more too... Some topological surfaces : cylinder, Mobius strip, torus, and Klein bottle A wacky page on Klein bottles. Euclid's Elements , the classic work providing the axiom system for standard (or "Euclidean") geometry, where space is flat. Lots of info about spherical geometry , a positive curvature alternative to the Euclidean world where there are no parallel lines and triangles have more than 180 degrees.

    79. Mathematics Homework Help
    GALLERY OF INTERACTIVE geometrytotally interactive site fibonacci numbers AND NATURE-ifyou are, or ever where, interested in fibonacci numbers, this is a must
    http://www.thwww.com/mrwizard/homework11.htm
    Quick Site Navigator ART ASTRONOMY BIOLOGY CHEMISTRY COMPUTING DRAMA LANGUAGE GEOSCIENCE HISTORY LIBRARIES MATH MUSIC PHYSICS SCIENCE SPACE OTHER MATHEMATICS Please help us keep this site current, if you find a non functioning link,
    please report it by Clicking Here ALGEBRA HELP - the fastest growing online source for help with algebra. Uses some of the latest technology to help you learn and understand algebra. ALGEBRA REVIEW IN 10 LESSONS - Review of (high school) algebra. Acrobat Reader required. PROBLEM SOLVING - Grades 3-12 - Concept-based problem solving. Learning through problem solving. MATHEMATICS HELP CENTRAL - features lecture notes, links, and downloadable graph paper.
    College level. GEOMETRY HELP - from the basics to the advanced. MORE GEOMETRY HELP - from ThinkQuest HISTORY OF GEOMETRY - Title says it all. AAA MATH - online math exercises in a variety of topics for grades 2- 8. ROUNDING NUMBERS - How to round numbers - Rounding makes numbers easier to work with in your head. MATH GOODIES - a free educational web site featuring interactive math lessons, homework help, worksheets, puzzles, message boards, and more! JIM LOY'S MATHEMATICS - facts and problems for algebra, geometry, calculus, arithmetic, number theory, and more.

    80. Mathematics And Computer Science Links
    The Tesseract (or Hypercube) (geometry Center, Minnesota); Euclid's Elements, Introduction(Clark University). Number Theory. The fibonacci numbers and the Golden
    http://math.stmarys-ca.edu/links.html
    Department of Mathematics
    and Computer Science
    Mathematics Major Computer Science Major Faculty Course Schedules ... Links
    Saint Mary's College Web Sites
    Professional Organizations
    Institutes
    Mathematical Resources on the Web

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