Asymptotical unboundedness of the Heesch number in \({\mathbb{E}}^d\) for \(d\rightarrow \infty \)

DOI10.1007/s00454-020-00254-4zbMath1480.52016OpenAlexW3096281080WikidataQ112879340 ScholiaQ112879340MaRDI QIDQ2066316

Bojan Bašić, Anna Slivková

Publication date: 14 January 2022

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-020-00254-4

zbMATH Keywords

tessellationtilingHeesch number\(d\)-dimensional Euclidean spaceHeesch's problem

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (2)

A figure with Heesch number 6: pushing a two-decade-old boundary ⋮ Solutions to seven and a half problems on tilings

Cites Work

• On the Heesch number for the hyperbolic plane
• The hexagonal parquet tiling: \(k\)-isohedral monotiles with arbitrarily large \(k\).
• The Heesch number for multiple prototiles is unbounded
• Heesch's Tiling Problem
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