Clifford A. Reiter, Views of Fibonacci dynamics, Computers & Graphics 28 2 (2004) 297-300.

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.

See also: · Some Images and animations related to the paper [Images, and Animations] · Preprint: [fib_v2_pp2.pdf] · Materials for [Generalized Binet Dynamics] [Abstract]