Discrete & Computational Geometryにオープンアクセスで掲載
#aperiodic
Akiyama, S., Araki, Y. An Alternative Proof for an Aperiodic Monotile. Discrete Comput Geom (2025).
link.springer.com/article/10…
[NEWS] An alternative proof for an aperiodic monotile is now on arxiv. We prove that Smith hat is tileable and aperiodic. Join work with Prof. Shigeki Akiyama.
スミス帽の「タイル張り可能」「非周期性」の別証明をarxivに公開。秋山茂樹先生との共同研究です。
arxiv.org/abs/2307.12322
In Escher’s woodcut “Circle Limit III” the infinite hyperbolic plane (drawn as a finite disk) is tiled with interlocking fish. The tractroid is a surface in Euclidean space with the same geometry as a portion of the hyperbolic plane, so I thought it would be fun to show the fish.