76 citations · 76 across the 1 of their papers we have counts for
2 papers
math.CO2010
Forcing nonperiodicity with a single tile
Joshua E. S. Socolar, Joan M. Taylor
An aperiodic prototile is a shape for which infinitely many copies can be arranged to fill Euclidean space completely with no overlaps, but not in a periodic pattern. Tiling theori…
math.CO2010★ 76 cited
An aperiodic hexagonal tile
Joshua E. S. Socolar, Joan M. Taylor
We show that a single prototile can fill space uniformly but not admit a periodic tiling. A two-dimensional, hexagonal prototile with markings that enforce local matching rules is…