38 citations · 77 across the 5 of their papers we have counts for
3 papers · 1 filter
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…
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…
A Frameless 2-Coloring of the Plane Lattice
Craig S. Kaplan, Jeffrey Shallit
A picture frame in two dimensions is a rectangular array of symbols, with at least two rows and columns, where the first and last rows are identical, and the first and last columns…