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So many fascinating and deep results have been written about the number (1 + SQRT(5)) / 2 and its related sequence - the Fibonacci numbers - that it would take years to read all of them. This number has been studied both for its applications (population growth, architecture) and its mathematical properties, for over 2,000 years. It is still a topic of active research.
Lag-1 auto-correlation in digit distribution of good seeds, for b-processes
I show here how I used the golden ratio for a new number guessing game (to generate chaos and randomness in ergodic time series) as well as new intriguing results, in particular:
Content of this article
1. Some Definitions
2. Digits Distribution in b-processes
3. Strange Facts and Conjectures about the Rabbit Constant
4. Gaming Application
5. Related Articles
Read full articles, here.