Fantastic deterministic fractals

Heinz-Otto Peitgen

Chapter Chapter 4 in The Science of Fractal Images, 1988, pp 169-218 from Springer

Abstract: Abstract The goal of this chapter, which is a continuation of Section 3.3, is to demonstrate how genuine mathematical research experiments open a door to a seemingly inexhaustible new reservoir of fantastic shapes and images. Their aesthetic appeal stems from structures which at the same time are beyond imagination and yet look extremely realistic. Being the result of well defined and mostly very simple mathematical processes — which depend on a few parameters — animations of evolution or metamorphosis of fantastic forms are easy to obtain.

Keywords: Large Disk; Inverse Iteration; General Rational Mapping; Parabolic Fixed Point; Binary Decomposition (search for similar items in EconPapers)
Date: 1988
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DOI: 10.1007/978-1-4612-3784-6_4

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