An alternative proof for an aperiodic monotile

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Shigeki Akiyama , Yoshiaki Araki This is my paper · ORCID

classification math.MGmath.COmath.DSmath.NT

keywords alternativeaperiodicmonotileproofgivegoodman-strassintroducedkaplan

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We give an alternative simple proof that the monotile introduced by Smith, Myers, Kaplan and Goodman-Strass is aperiodic.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

On the long-range order of the Spectre tilings
math.DS 2024-11 conditional novelty 7.0 of 10

The Spectre tiling and all Spectre-like tilings have pure point diffraction and are MLD to reprojections of a cut-and-project model set, with the smallest possible first Čech cohomology.