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The Puzzling World of Fibonacci Numbers A pair of pages with plenty of playful problems to perplex the professional and the part-time puzzler! The Harder Fibonacci Puzzles page still has problems where the Fibonacci numbers are the answers - well, all but ONE, but WHICH one?

The following pages give you lots of opportunities to find your own patterns in the Fibonacci numbers. What happens if we use the Fibonacci numbers as the column headers?

Did you guess that these multiples and the whole numbers are, of course, the Fibonacci numbers again?

  • Phigits and Base Phi Representations We have seen that using a base of the Fibonacci Numbers we can represent all integers in a binary-like way.
  • This string is a closely related to the golden section and the Fibonacci numbers.
  • You can hear the Golden sequence as a sound track too.

Fibonacci - the Man and His Times Who was Fibonacci?

Also there is a guide to some memorials to Fibonacci to see in Pisa, Italy. His formula together with the Fibonacci numbers can be used to compute pi.

It uses facts about the golden section and its relationship with the Fibonacci and Lucas numbers. General Fibonacci Series The Lucas numbers change the two starting values of the Fibonacci series from 0 and 1 to 2 and 1.

These General Fibonacci series are called the G series but the Fibonacci series and Phi again play a prominent role in their mathematical properties.

 

The Elliott wave theory is the basis of a technical analysis technique for predicting the behavior and market trends in the stock market, invented by Ralph Nelson Elliott in 1939. It is based on the belief that markets exhibit well-defined wave patterns that can be used to predict market direction: specifically that stock prices are governed by cycles which adhere to the Fibonacci sequence 0, 1, 1, 2, 3, 5, 8, 13, 21, etc. It claims that the stock market, acting as a meter for mob or crowd psychology, displays many of the same geometric features as other organic structures. Proponents of the Elliott wave theory claim that the pattern is exhibited repeatedly in past market price patterns, and that the fractal nature of such patterns creates a repetition of them on varying levels of order and magnitude.


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