From Euclid to Contemporary Mathematics and Computer Science

by Alexey Stakhov (International Club of the Golden Section, Canada)
assisted by Scott Olsen

This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the "Mathematics of Harmony," a new interdisciplinary direction of modern science. This direction has its origins in "The Elements" of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the "golden" algebraic equations, the generalized Binet formulas, Fibonacci and "golden" matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and "golden" matrices).


International Conference on Bioinformatics and its Applications (ICBA’04)

December 16-19, 2004
Nova Southeastern University
Fort Lauderdale, Florida, USA

Dear ISSB Board Directors,

Thank you all for making great suggestions and taking leading roles on our society and the upcoming conference. The latest conference information has been uploaded to our Website at The conference poster and the first announcement are linked to the Website for a broad distributions. For your convenience, they are also attached below for your review.

In addition, a Website (version 1.0) for our society is up at for your review. Please send your comments and suggestions to

We are now entering the promotion phase for our conference. Please network our events with your colleagues and associations for a great participations. We'll be soon setting up a conference account for the sponsorships. The total estimated cost for this conference is approximately $20,000. You may use our Web materials and alter them for your fund/grant applications of various amount ($500 level, $1000 level, $2000 level, $5000 level, etc.). All the sponsors will be acknowledged throughout conference publications. It's encouraged for each board member to seek for financial sponsors to support our conference if that is possible.

Thank you for sharing your expertise and contributions to the ISSB!

Best Regards, Matthew


Resolution of the International Conference "Problems of Harmony, Symmetry and the Golden Section in Nature, Science and Art"


Dear visitors of our Museum!

We would like to inform you that  according to assessment of the Guide of the Russian Informational Network "The  Best in Internet" our Museum is recognized one the best site among the similar  kinde sites (the second after the Museum of Virtual Numismatics) outstriping the  sites of State Tretjakov's Galery and State Russian Museum.

And we delighted to inform you  about this unexpected event.


Alexey Stakhov "Is it possible to create a new elementary mathematics based on the golden section?", Virtual International Journal "The Golden Section: Theory and Applications"


Tenth Hilbert's Problem


Fibonacci Numbers and Genetic Code


Fibonacci Pythograms