Elliott Waves - fibonacci sequence in nature

fibonacci sequence in nature

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The original problem in the Liber Abaci asked how many pairs of rabbits can be generated from a single pair, if each month each mature pair brings forth a new pair, which, from the second month, becomes productive. Aside from an extraordinary wealth of mathematical relationships, there are numerous applications of the Fibonacci numbers in the most diverse fields.

The following references for Fibonacci number theory and applications in botany, biology, physics, music, and art provide an anthology of attractive mathematical ideas, selected from an abundance of material. Fibonacci Association, 1993.

An Introduction to Fibonacci Discovery.

A Primer for the Fibonacci Numbers.
Dunlap, The Golden Ratio and Fibonacci Numbers.
Fibonacci and Lucas Numbers.

Now available from Fibonacci Association.

The life and mathematics of Fibonacci. The Fibonacci Numbers.

Patterns of nature using Fibonacci numbers and the Golden Section ratio. Another good source of Fibonacci information!

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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