Close relative of aperiodic tile 'the hat' found to be a true chiral aperiodic monotile

Mathematicians from Yorkshire University, the University of Cambridge, the University of Waterloo and the University of Arkansas have one-upped themselves by finding a close relative of "the hat," a unique geometric shape that does not repeat itself when tiled, that is a true chiral aperiodic monotile. David Smith, Joseph Samuel Myers, Craig Kaplan and Chaim Goodman-Strauss have published a paper outlining their new find on the arXiv preprint server.

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