Detecting Isohedral Polyforms with a SAT Solver

Published 24 Jun 2024 in cs.DM and cs.CG | (2406.16407v1)

Abstract: 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 wide range of polyforms, requires no special-case code for different isohedral tiling types, and integrates seamlessly with existing software for computing Heesch numbers of polyforms.

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Craig S. Kaplan

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