Penrose Mathematical Bathroom Floors

Posted by on January 15, 2013 Leave a comment (3) Go to comments

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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Math on Objects, Math Pics
  1. Mr. B January 15, 2013 at 3:29 pm

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

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  2. athanor January 15, 2013 at 9:14 pm

    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. Math Sci January 16, 2013 at 2:49 am

    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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