Fibonacci numbers and the golden section in nature, art, geometry, architecture, music and even for calculating pi! Puzzles and investigations.

The Golden Mean We start with a problem in aesthetics. Consider the following line segment _________________________________ What is the most pleasing division of this line segment into two parts Some people might say at the halfway point: _________________.________________ Others might say at the one-quarter or three-quarters point. The correct answer is, however, none of these, and is found ...

This website aims to show that there are many constants in mathematics other than just e and pi!

The Phi-Nest information on the Golden Section, Divine Proportion, Fibonacci series and phi.

In-depth information and mathematical formulas concerning Phi.

Detailed explanation of the golden mean, or phi.

Phi: That Golden Number by Mark Freitag Most people are familiar with the number Pi, since it is one of the most ubiquitous irrational numbers known to man. But, there is another irrational number that has the same propensity for popping up and is not as well known as Pi. This wonderful number is Phi, and it has a tendency to turn up in a great number of places, a few of which will be discussed ...

Golden Rectangle ...

Home - Yahoo! - Help Ask Yahoo! Wednesday, December 1, 1999 Ask a Question Previous Question Who or what is a Mercator Next Question What is the weather like on Io Learn something new every day. Add Ask Yahoo! to My Yahoo! Dear Yahoo! What is the Golden Ratio and what significance does it have Kevin St. Louis, Missouri Dear Kevin: We suspected that the Golden Ratio was somehow connected to ...

The Golden Ratio and The Fibonacci Numbers The Golden Ratio ( ) is an irrational number with several curious properties. It can be defined as that number which is equal to its own reciprocal plus one: = 1/ + 1. Multiplying both sides of this same equation by the Golden Ratio we derive the interesting property that the square of the Golden Ratio is equal to the simple number itself plus one: 2 = ...

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The Golden Ratio: A Golden Opportunity to Investigate Multiple Representations of a Problem Edwin M. Dickey College of Education University of South Carolina Copyright 1993, NCTM MATHEMATICS TEACHER October 1993 Teachers of algebra have spent adequate amounts of time teaching two major representations of mathematics: verbal and algebraic, but have spent too little time on two other critical ...

Inter.View to George Cardas - Cardas Cables by Lucio Cadeddu A brief introduction to Golden Ratio freely taken from Golden sections and sequences in an unstable problem by Lucio Cadeddu Golden Ratio is an easy concept of elementary geometry which has had, and still has, great relevance both in human designs and in Nature. Recently it has had wide application in HiFi Audio too. Let me write down ...