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An aperiodic monotile exists!

A tiling of the plane by lots of copies of the same shape.

Actual aperiodicity news on The Aperiodical!

This is probably the biggest aperiodicity news we’ll ever cover here: David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss have produced a single shape which tiles the plane, and can’t be arranged to have translational symmetry.

And it’s so simple!