Thorn Fractal

Written by Paul Bourke

Fractal attributed to Andrew Wayne Graff, alternatively named the "Secant Sea"

May 2004


This fractal is created by iterating the functions (xn,yn) and shading each pixel (x0,y0) depending on whether or how fast the series escapes to infinity. The parameter (cx,cy) is gives (slightly) different fractal images.

xn
xn+1 = + cx
cos(yn)
yn
yn+1 = + cy
sin(xn)