Tiling the torus and other space forms

DOI10.1007/BF02187896zbMath0627.05046OpenAlexW2035379096MaRDI QIDQ581420

Marjorie Senechal

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/131035

zbMATH Keywords

quotient graphsisogonal toroidal polyhedra

Mathematics Subject Classification ID

Graph theory (05C99) Polytopes and polyhedra (52Bxx)

Related Items

Delaunay triangulation and triangulation of tori ⋮ Color symmetry ⋮ Automorphism properties of embedded graphs ⋮ Tilings by related zonotopes ⋮ Smallest polyhedral tilings of 3-tori by parallelohedra ⋮ Symmetry groups of single-wall nanotubes ⋮ Symmetry groups associated with tilings on a flat torus

Cites Work

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• Color groups
• The rhombidodecahedral tessellation of 3-space and a particular 15-vertex triangulation of the 3-dimensional torus
• Isotoxal tilings
• Morphisms of crystallographic groups: Kernels and images
• Automorphism properties of embedded graphs
• A hierarchy of classification methods for patterns*
• Space groups and their isotropy subgroups
• The eighty-one types of isohedral tilings in the plane
• The Ninety-One Types of Isogonal Tilings in the Plane

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