Views of Fibonacci dynamics

The Binet formula gives a natural way for Fibonacci numbers to be viewed as a function of a complex variable. We experimentally study the complex dynamics of the Fibonacci numbers viewed in that manner. Attracting and repelling fixed points are related to the filled Julia set and to regions of escape time images with fascinating behavior.

• Type: Journal
• Year: 2004
• Where: CG
• Authors: Clifford A. Reiter
• Keywords: Binet Formula, CG 2004, Complex Variable, Computer Graphics, Fibonacci Numbers