Elegant Fractals

Fractals are intricate geometrical forms that contain miniature copies of themselves on ever smaller scales. This colorful book describes methods for producing an endless variety of fractal art using a computer program that searches through millions of equations looking for those few that can produce images having aesthetic appeal. Over a hundred examples of such images are included with a link to the software that produced these images, and can also produce many more similar fractals. The underlying mathematics of the process is also explained in detail.

Other books by the author that could be of interest to the reader are Elegant Chaos: Algebraically Simple Chaotic Flows (J C Sprott, 2010) and Elegant Circuits: Simple Chaotic Oscillators (J C Sprott and W J Thio, 2020).

Contents: PreliminariesSearch TechniquesIterated MapsChaotic FlowsIterated Function SystemsEscape-time PlotsSpatiotemporal SystemsRandom FractalsFractal TessellationsEpilog
Readership: Student, professional and general public.
Key Features:VISUAL ELEGANCE - It provides an automated method for producing interesting fractals with over a hundred full-color examplesACCESSIBLE COMPUTATION - It describes the mathematics behind the creation of fractals"DO-IT YOURSELF TOO!" TECHNOLOGY ENGINE - It provides a link to software behind the generation of countless additional examples