Talk:Voderberg tiling

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"It exhibits an obvious repeating pattern" - really?

This is a fascinating tiling; I still have a hard time believing that it works. Given that the curvature of the spiral has to keep changing, I wonder how it keeps doing that.

If we look at the tiles from the center, they can lie in 4 different rotations (roughly, that is, neglecting the wiggles of the order 10°), which I'll call J,L,7, and P, depending on whether the sharp hook points to the lower left, lower right, upper left, or upper right, respectively. Then the blue and red tiles form the following pattern, beginning at the center:

JJJJJJJJJJJJJJJJPJJPJJPJJPJJPJJPJJPJJPJJPJJPJJPJJP ...

(Here I lost count, but when they reach the left side, they switch to

PJPJJ...

How long will this pattern go on? Until it reaches the right side, where the yellow/purple tiles switch from PJJ to PJPJJ? What does it change to the? And how will the next layer react to that change?

This is far from obvious to me. Can we cut this sentence, or change it to something like "The Voderberg tiling is [obviously] non-periodic."? (I'm leaving out the "Because it has no translational symmetries" part, since it doesn't have any other symmetries, except for C2 inversion symmetry in the center.) — Sebastian 19:41, 19 August 2015 (UTC)[reply]

Coloring

The question has been raised about the meaning of the coloring. It seems to me this is just an application of the 4-color theorem in that it is an easy (or the only possible?) way to color all tiles with 4 colors. Maybe that should be mentioned in the article? — Sebastian 19:41, 19 August 2015 (UTC)[reply]