• centers 1-12 archive copy at the Wayback Machine made with Maxima, Eigensolve and Gnuplot
• centers of periods 1- 10 made with Maxima and Gnuplot
• the roots of the Mandelbrot polynomial of degree 2.097.151 computed with MPsolve in about 10 days on a dual Xeon server.

This code draws only boundaries. ( I must add code for drawing points. Coordinates of points are read from file ).

load(draw)$
draw2d (
xrange = [ -2, 0.5],
yrange = [-1.25,1.25],
nticks        = 200,
key="main cardioid",
parametric( cos(t)/2-cos(2*t)/4, sin(t)/2-sin(2*t)/4, t,-%pi,%pi),
key="period 2 component",
parametric( cos(t)/4-1, sin(t)/4, t,-%pi,%pi),
title="Mandelbrot set "
)$

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