Color symmetry using the length scale of the inflated lattice

I have shown some images with 2-color symmetry upon rotation shown in “images of 10-fold rotational …“. But the fast color changes they hacked them into small pieces. We can get better images if we use a color changing function with slower oscillating waves. A good choice results from the self-similarity discussed in “self-similarity and color modification“. Thus I used sin(x/1.618) as basic wave to build a color changing function for quasi-periodic design with 10-fold rotational symmetry.

This is a basic result that shows mainly the color-changing structure:

And here is a more subtle image that shows increasingly complex stars of 5-fold symmetry

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