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PERFECT COLOURINGS OF ISONEMAL FABRICS BY THICK STRIPING

Part of: Real and complex geometry Discrete geometry

Published online by Cambridge University Press:  12 December 2011

R. S. D. THOMAS
R. S. D. THOMAS*
Affiliation:
St John’s College and Department of Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada (email: [email protected])
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Abstract

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Perfect colouring of isonemal fabrics by thick striping of warp and weft and the closely related topic of isonemal prefabrics that fall apart are reconsidered and their relation further explored. The catalogue of isonemal prefabrics of genus V that fall apart is extended to order 20 with designs that can be used to weave cubes with colour symmetry as well as weaving symmetry.

Keywords

fabricisonemalperfect colouringprefabricweaving

MSC classification

Secondary: 52C20: Tilings in $2$ dimensions 51M20: Polyhedra and polytopes; regular figures, division of spaces
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 85 , Issue 2 , April 2012 , pp. 325 - 349
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

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