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For questions about mathematical tiling.

13 votes
Accepted

Are there irregular tilings by L-polyominoes?

This tiling of L-tetrominoes is periodic and features neither infinite monotonic staircases nor rectangles: I've highlighted copies of the fundamental region in different colours, so as to easily demonstrate …
Adam P. Goucher's user avatar
2 votes

How is the Penrose tiling decapod count of 62 calculated?

I get a total of $62$ by appealling to Burnside's lemma. In particular, note that the objects we are counting are 2-colourings of the vertices of a decagon up to: Rotations; Reflections composed wit …
Adam P. Goucher's user avatar