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Phi is the Greek letter representing the golden ratio, also called the golden mean or the golden proportion. Break a line segment into two such that the ratio of the whole to the longest segment is the same as the ratio of the two segments, that ratio is the golden ratio. Phi = 1.618034...
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The 'Phi-Nest' - Information on the Golden Section, Divine Proportion, Fibonacci series and phi. 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. 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. Phi: That Golden Number - How to generate the number, GSP script for dividing segments, rectangle and other shapes, the rabbit problem and references. A brief introduction to Golden Ratio - An interview with George Cardas, describing his use of the Golden Ratio in high-end audio equipment cables. 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 Ratio - Project with art references and object construction lessons. Colin and Greg's Golden Ratio Page - This is an informative site on an interesting aspect of Geometry: The Golden Ratio. Division in Mean and Extreme Ratio - The base angle of the largest triangles of most representations of Sri Yantra are about 52 degrees, close to the base angle of the Great Pyramid of Cheops, which is 51deg50'. With such a base angle, the ratio of the hypotenuse to half the base is phi, the Golden Ratio. Constructing the Golden Rectangle - A description of the golden rectangle with formulas and drawings. 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. Ask Dr. Math - A list of questions gathered pertaining to Fibonacci and Golden Ratio. The Golden Mean by Jerry Bonnell and Robert Nemiroff - A Project Gutenberg eBook with one million digits. 20,000 Digits - A Project Gutenberg Etext.
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