PERFECT COLOURINGS OF ISONEMAL FABRICS BY THICK STRIPING

DOI10.1017/S0004972711002899zbMath1276.52022arXiv1109.2254OpenAlexW2949867194MaRDI QIDQ5389496

R. S. D. Thomas

Publication date: 20 April 2012

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.2254

zbMATH Keywords

symmetry groupsweavingfabricisonemalprefabricperfect colouring

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Symmetry properties of polytopes (52B15)

Cites Work

• Conditions for isonemal arrays on a Cartesian grid
• Isonemal prefabrics with no axes of symmetry
• Isonemal prefabrics with only parallel axes of symmetry
• The bipartite tournament associated with a fabric
• An extension to the catalogue of isonemal fabrics
• The symmetry groups of periodic isonemal fabrics
• Perfect colorings of isonemal fabrics using two colors
• PERFECT COLOURINGS OF ISONEMAL FABRICS BY THIN STRIPING
• Satins and Twills: An Introduction to the Geometry of Fabrics
• The patterns of the isonemal two-colour two-way two-fold fabrics
• The Plane Symmetry Groups: Their Recognition and Notation

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