Penrose Mathematical Bathroom Floors

The Penrose model is a common pattern that you probably already saw in a number a places without even noticing.

A Penrose tiling is a non-periodic tiling generated by an aperiodic set of prototiles. The aperiodicity of the Penrose prototiles implies that a shifted copy of a Penrose tiling will never match the original.

For more examples go to http://www.woollythoughts.com and http://www.math.ucdavis.edu/~greg/floors.html

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4 Comments.

  1. The second picture (floor tiles) is not a Penrose tiling ….

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  2. I was guessing maybe the second one was the FAIL part of math fail? Because it certainly is not a penrose tile.

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  3. The first one isnt a penrose tiling either, although it looks similar. Penrose tilings are 5 way symmetric, on the bath mat(?) it’s only 4 way. See: http://en.wikipedia.org/wiki/Penrose_tiling

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  4. There is also a nice film about how to construct Penrose tilings at https://www.vismath.eu/en/films/penrose-tesselation

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