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.
[SMCG2023]
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