The 14 infinite families of isotoxal tilings in the planes of constant curvature

DOI10.1007/BF01876875zbMath0924.52014MaRDI QIDQ1346297

V. Pereyra

Publication date: 11 April 1995

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

2-dimensional Riemannian manifold of constant curvatureisotoxal marked tilings

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (1)

Hyperbolic isocoronal tilings

Cites Work

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• Combinatorial classification of fundamental domains of finite area for planar discontinuous isometry groups
• The 37 combinatorial types of minimal, non-transitive, equivariant tilings of the Euclidean plane
• On tilings of the plane
• Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell
• Fundamental domains for planar discontinuous groups and uniform tilings
• Isotoxal tilings
• On non-Euclidean crystallographic groups
• The Classification of Non-Euclidean Plane Crystallographic Groups

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