Hat Metatiles

Discovered by


A substitution for the aperiodic hat monotile found in 2022 and published in SMCG2023. This substitution rule is slightly misleading: The supertiles are not exactly similar to the prototiles.

Substitution Rule

Rule Hat Metatiles


Patch Hat Metatiles download vectorformat Hat Metatiles


Smith, D. and Myers, J. S. and Caplan, C. S. and Goodman-Strauss, C.
An Aperiodic Monotile
arXiv 2023, https://arxiv.org/abs/2303.10798