An aperiodic monotile that forces nonperiodicity through dendrites

DOI10.1112/blms.12375zbMath1452.52016arXiv1903.01158OpenAlexW3028224383MaRDI QIDQ5135369

Michael F. Whittaker, Michael Mampusti

Publication date: 20 November 2020

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.01158

zbMATH Keywords

nonperiodic tilingsaperiodic hexagonal monotiledendrite rule

Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Dynamical systems involving maps of trees and graphs (37E25)

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Cites Work

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• Hexagonal inflation tilings and planar monotiles
• Taylor-Socolar hexagonal tilings as model sets
• The computation of overlap coincidence in Taylor-Socolar substitution tiling
• An aperiodic hexagonal tile
• Pentaplexity. A class of non-periodic tilings of the plane
• Forcing nonperiodicity with a single tile
• Undecidability and nonperiodicity for tilings of the plane
• Quasicrystals: What do we know? What do we want to know? What can we know?
• The undecidability of the domino problem