Automatic Generation of General Quadratic Map Basins
Julien C. Sprott
Department of Physics, University
of Wisconsin, Madison, WI 53706, USA
Clifford A. Pickover
IBM Watson Research Center, Yorktown Heights, New York 10598, USA
In this informal article, we describe simple approaches whereby a
can automatically select parameters and generate a large collection of
diverse, aesthetically appealing fractal patterns based on general
map basins. Computational recipes are included to encourage reader
In essence, we describe methods for teaching a computer to be both an
and a critic of its own art.
Ref: J. C. Sprott and C.
A. Pickover, Comput. & Graphics 19, 309-313 (1995)
The complete paper is available
in PDF format.
Return to Sprott's Books and Publications.
The computer source code escape.bas
from the article is available along with an executable version
You may also wish to
view some images
based on this technique and generated by the program Fractal
eXtreme by Cygnus Software.