For this set of plots I used Scilab, a free math program that immitates Matlab. Below is a plot of the SierpiĆski Sieve with verices (0,0), (1,0), and (0.5, sqrt(3)/2), and r = 1/2 (2500 points):
The following is a plot of a square with vertices (1,0), (0,1), (-1,0), and (0,-1), and r = 2/5 (2500 points):
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