38 citations
2 papers
math.CO2023★ 38 cited
A chiral aperiodic monotile
David Smith, Joseph Samuel Myers, Craig S. Kaplan +1
The recently discovered "hat" aperiodic monotile mixes unreflected and reflected tiles in every tiling it admits, leaving open the question of whether a single shape can tile aperi…
math.CO2023★ 37 cited
An aperiodic monotile
David Smith, Joseph Samuel Myers, Craig S. Kaplan +1
A longstanding open problem asks for an aperiodic monotile, also known as an "einstein": a shape that admits tilings of the plane, but never periodic tilings. We answer this proble…