Two finiteness theorems for periodic tilings of \(d\)-dimensional Euclidean space

DOI10.1007/PL00009380zbMath0917.52018OpenAlexW2000998060MaRDI QIDQ1275653

Daniel H. Huson, Andreas W. M. Dress, Nikolai P. Dolbilin

Publication date: 21 July 1999

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

Full work available at URL: https://doi.org/10.1007/pl00009380

zbMATH Keywords

Delaney symbolperiodic tilings\(n\)-isohedral tilingsequivariant tilingsisotoxal tilingstilings with convex tiles (convex tilings)transitivity properties of tilings

Mathematics Subject Classification ID

Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (2)

Unnamed Item ⋮ Complexity of convex stereohedra

Cites Work

• On tilings of the plane
• Presentations of discrete groups, acting on simply connected manifolds, in terms of parametrized systems of Coxeter matrices - a systematic approach
• The classification of face-transitive periodic three-dimensional tilings
• Regular polytopes and equivariant tessellations from a combinatorial point of view
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