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Science: Math: Recreations: Specific_Numbers: phi

American Phi
Music, story and poetry of the Golden Ratio.

Ask Dr. Math
A list of questions gathered pertaining to Fibonacci and Golden Ratio.

Ask Yahoo
The column at answers the question "What is the "Golden Ratio" and what significance does it have?".

A brief introduction to Golden Ratio
An interview with George Cardas, describing his use of the Golden Ratio in high-end audio equipment cables.

Colin and Greg's Golden Ratio Page
This is an informative site on an interesting aspect of Geometry: The Golden Ratio.

Constructing the Golden Rectangle
A description of the golden rectangle with formulas and drawings.

10,000 Digits
A web page with phi to 10,000 places.

20,000 Digits
A Project Gutenberg Etext.

Division in Mean and Extreme Ratio
The base angle of the largest trinalges of most representations of Sri Yantra are about 52 degrees, close to the base angle of the Great Pyrmaid of Cheops, which is 51deg50'. With such a base angle, the ratio of the hypotenuse to half the base is phi, the Golden Ratio.

The Golden Mean
Explains the theory behind the golden mean and how it can be constructed out of the Fibonacci series.

The Golden Mean
At the Favorite Mathematical Constants page.

The Golden Mean by Jerry Bonnell and Robert Nemiroff
A Project Gutenberg eBook with one million digits.

Golden Number
A few words about Golden Number.

The Golden Ratio
Explanation, presence in biology, art, and ancient art.

The Golden Ratio
Project with art references and object construction lessons.

The Golden Ratio
Examines the uses/occurances of phi in biology, art, and ancient times.

The Golden Ratio
Extension of the number.

The Golden Ratio: A Golden Opportunity to Investigate Multiple Representations of a Problem
Essay and brief introduction by Edwin M. Dickey.

The Golden Ratio and The Fibonacci Numbers
A presentation of the relationship between the Golden Ratio and the Fibonacci Numbers from the proceedings of the Friesian School.

Golden Rectangle
Defines the "Golden Rectangle" based on phi and shows some formulars and drawings of the results.

The Golden Section
Short page describing the Golden Section. Includes a description of various constructions and history.

The Golden Section - the Number and Its Geometry
Simple definitions; exact value and first 2000 decimal places; finding the golden section; continued fractions. Simple tricks for your calculator, puzzles and games.

Golden`s Section Formulas
Explores a connection between Golden Section on the one hand and Fibonacci and Lucas numbers on the other...

The Greeks and the Golden Mean
A paper relating the early discovery of the Golden Mean by the ancient Greeks and their methods of constructing it.

Phi: That Golden Number
How to generate the number, GSP script for dividing segments, rectangle and other shapes, the rabbit problem and references.

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

See Phi
An introduction to Phi, the golden rectangle, and Fibonacci numbers.


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