Solved: A single tile that tile only aperiodically

aperiodic tile

A single tile that tile only aperiodically.

Whether a single tile exists that tiles only aperiodically is a is unsolved problem. Not anymore!

See: An aperiodic hexagonal tile (2010-03-22), By Joshua E S Socolar, Joan M. Taylor. arxiv.org 1003.4279v1.pdf

via http://www.mathpuzzle.com/.

See also, some of my tiling studies:

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