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Topia!: Science: Math: Recreations: Specific Numbers: phi (24)
The Golden Ratio - Explanation, presence in biology, art, and ancient art. The 'Phi-Nest' - Information on the Golden Section, Divine Proportion, Fibonacci series and phi. Golden Ratio - History, occurrences in nature and formula. 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 - Project with art references and object construction lessons. The Golden Ratio: A Golden Opportunity to Investigate Multiple Representations of a Problem - Essay and brief introduction by Edwin M. Dickey. The Golden Ratio - Examines the uses/occurances of phi in biology, art, and ancient times and most importantly, explains the beauty that can be found in a number. Phi: That Golden Number - How to generate the number, GSP script for dividing segments, rectangle and other shapes, the rabbit problem and references. Phi, the golden ratio - Provides a definition of Phi, and explains some mathematical background as well as a listing of 1000 digits of the number. The Golden Mean - Explains the theory behind the golden mean and how it can be constructed out of the Fibonacci series. Ask Dr. Math - A list of questions gathered pertaining to Fibonacci and Golden Ratio. Ask Yahoo - The column at yahoo.com 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. 20,000 Digits - The Project Gutenberg Etext of The Golden Mean. Golden Number - A few words about Golden Number. 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. Blowing the Lid off Phi - A look at the numerical sequences which underlie the golden ratio and analogous numbers. The Golden Mean - At the Favorite Mathematical Constants page. 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.
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