This page shows small versions of the patterns available to download. Click on the links to obtain the full sized images, most of which are 1600x1600.

The Patterns

We apply the basic transformation to a square 3 and 4 times.

The dual of the 4-times transformed square.

This is the pattern you get if you start with an octagon with radial lines, apply the basic iteration once, then take the dual.

The next two images are the result of applying the standard transformation to the octagonal shape above.

And this is the dual of the final image in the octagon series.

Two images from the pentagon series, the first is the result of three iterations, starting with the pentagon with radial spokes. The second is the dual of the first.

These next two images are partially relaxed versions of previous pentagonal patterns. I say partially because I applied the relaxation stage between the second and third applications of the edge replacement algorithm.

Finally, for the really ambitious, this example shows what happens when you apply the standard transformation to the previous dual pattern. This is a 2400x2400 image.