The 37 combinatorial types of minimal, non-transitive, equivariant tilings of the Euclidean plane

DOI10.1016/0012-365X(86)90007-5zbMath0628.05021OpenAlexW1998421418MaRDI QIDQ1092914

Andreas W. M. Dress, Rudolf Scharlau

Publication date: 1986

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(86)90007-5

zbMATH Keywords

enumerationidentical generalized Schläfli symbolminimal non-transitive tilingsnon-transitive plane tilings

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (4)

The 14 infinite families of isotoxal tilings in the planes of constant curvature ⋮ Packing, covering and tiling in two-dimensional spaces ⋮ Presentations of discrete groups, acting on simply connected manifolds, in terms of parametrized systems of Coxeter matrices - a systematic approach ⋮ k–isotoxal tilings from [pⁿ tilings]

Cites Work

• 2-isohedral triangulation
• The enumeration of normal 2-homeohedral tilings
• The 2-homeotoxal tilings of the plane and the 2-sphere
• Isotoxal tilings
• A hierarchy of classification methods for patterns*
• The eighty-one types of isohedral tilings in the plane
• The Ninety-One Types of Isogonal Tilings in the Plane
• Regular polytopes and equivariant tessellations from a combinatorial point of view
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• Unnamed Item

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