A four-color theorem for periodic tilings

DOI10.1007/BF01264100zbMath0823.52015OpenAlexW1963691306MaRDI QIDQ1336210

Daniel H. Huson

Publication date: 18 October 1994

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01264100

zbMATH Keywords

classificationenumerationcoloringperiodic tilingsplane \(k\)-homeohedral tilings

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to convex and discrete geometry (52-04) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Planar graphs; geometric and topological aspects of graph theory (05C10) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Cites Work

• Unnamed Item
• Unnamed Item
• The generation and classification of tile-k-transitive tilings of the Euclidean plane, the sphere and the hyperbolic plane
• Regular partitions of space for conical similarity symmetry groups
• The enumeration of normal 2-homeohedral tilings
• On tilings of the plane
• The classification of 2-isohedral tilings of the plane
• Tile-transitive partial tilings of the plane
• Presentations of discrete groups, acting on simply connected manifolds, in terms of parametrized systems of Coxeter matrices - a systematic approach
• Regular polytopes and equivariant tessellations from a combinatorial point of view
• The classification of quasi-regular polyhedra of genus 2

This page was built for publication: A four-color theorem for periodic tilings