2 papers
cond-mat.stat-mech2024
Ising model on the aperiodic Smith hat
Yutaka Okabe, Komajiro Niizeki, Yoshiaki Araki
Smith et al discovered an aperiodic monotile of 13-sided shape in 2023. It is called the `Smith hat' and consists of 8 kites. We deal with the statistical physics of the lattice of…
math.MG2023
An alternative proof for an aperiodic monotile
Shigeki Akiyama, Yoshiaki Araki
We give an alternative simple proof that the monotile introduced by Smith, Myers, Kaplan and Goodman-Strass is aperiodic.