Category: Escape-time Fractal
The lambda function produces the Julia sets of the complex version of the Logistic Equation
which was originally developed by P. F. Verhulst in 1845.
> restart; with(plots): > lambda := proc(x, y) > local c, z, m; > c := 0.85+I*0.6; > z := evalf(x+y*I); > for m from 0 to 30 while abs(z) < 3 do > z := c*z*(1-z) > od; > m > end: > plot3d(0, -1.5 .. 2.5, -1.5 ..1.5, style=patchnogrid, orientation=[-90,0], > grid=[250, 250], scaling=constrained, color=lambda);
MAPLE V FRACTALS LAMBDA #1.01 current as of May 18, 1999
Author: Alexander F. Walz, email@example.com
Original file location: http://www.math.utsa.edu/mirrors/maple/mfrlbd.htm