2 papers
math.HO2025
The Path to Aperiodic Monotiles
Craig S. Kaplan
This article, written for undergraduate mathematics students, provides an accessible introduction to a few key problems in tiling theory: Heesch's problem, the isohedral number pro…
cs.DM2024
Detecting Isohedral Polyforms with a SAT Solver
Craig S. Kaplan
I show how to express the question of whether a polyform tiles the plane isohedrally as a Boolean formula that can be tested using a SAT solver. This approach is adaptable to a wid…