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A prime number based fractal

This fractal is based on finite inverted Ulam Spirals (see history) on the first m natural numbers, with m=(2n+1)**2 , with n=1,2,3…, which are projected to [(0,0),(1,1)]. So the prozess could be continued to infinity. Quadrants that are numberd by prime numbers are colored red (here the first 3 spirals):

At every iteration fractal picture(n) = fractal picture (n-1) xor spiral(n) (here the first e iterations:)

an after step 16 and 50:

You can download the first 100 Iterations in higher resolution (8 MB zip archive) here