phi Specific Numbers Recreations

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...

• Golden Number - A few words about Golden Number.
  
• The Golden Ratio - Explanation, presence in biology, art, and ancient art.
  
• 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 Mean by Jerry Bonnell and Robert Nemiroff - A Project Gutenberg eBook with one million digits.
  
• 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 'Phi-Nest' - Information on the Golden Section, Divine Proportion, Fibonacci series and phi.
  
• The Golden Ratio: A Golden Opportunity to Investigate Multiple Representations of a Problem - Essay and brief introduction by Edwin M. Dickey.
  
• Golden Rectangle - Defines the "Golden Rectangle" based on phi and shows some formulars and drawings of the results.
  
• 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?".
  
• The Golden Section - Short page describing the Golden Section. Includes a description of various constructions and history.
  
• 10,000 Digits - A web page with phi to 10,000 places.
  
• The Golden Mean - Explains the theory behind the golden mean and how it can be constructed out of the Fibonacci series.
  
• Constructing the Golden Rectangle - A description of the golden rectangle with formulas and drawings.
  
• 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.
  
• 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 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
  
• 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.
  
• 20,000 Digits - A Project Gutenberg Etext.
  
  

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