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Is there any known aperiodic tiling of the plane using hexagons?

Wang tiles are a known aperiodic tiling using squares. I'm looking for something similar using hexagons.

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A quick Google search turned up arxiv.org/abs/1003.4279 –  Robert Israel Aug 22 '12 at 7:59
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up vote 6 down vote accepted

A quick Google search turned up http://arxiv.org/abs/1003.4279/

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And briefly looking through that paper, I'm stunned at how pretty their tilings are. They chose very aesthetically pleasing ways to record their tilings. –  mixedmath Aug 22 '12 at 17:06
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