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, alexander.f.walz@t-online.de
Original file location: http://www.math.utsa.edu/mirrors/maple/mfrlbd.htm