Draw fractals inspired by the book Symmetry in Chaos. More...

Detailed Description

Draw fractals inspired by the book Symmetry in Chaos.

Author: Mitch Richling https://www.mitchr.me

Standards: C++20

See also: https://www.mitchr.me/SS/sic/index.html

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Details

I came across the Simone Attractor on Paul Bourke's web site (http://www.paulbourke.net/fractals/simone_orbits/). Apparently it's based on, or inspired by, work done by Simone Conradi; however, the web page provides no references. The governing iteration is as follows:

\[ \begin{eqnarray} x_{n+1} & = & \sin(x^2_n - y^2_n+a) \\ y_{n+1} & = & \cos(2 x_n y_n+b) \\ \end{eqnarray} \]

Definition in file simone_attractor.cpp.