Counterchange Patterns and Polyhedra
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Reference
B.G. Thomas: Counterchange Patterns and Polyhedra. In: Bridges 2009. Pages 177–182
DOI
Abstract
Recent research has examined the difficulties encountered when attempting to apply two-dimensional repeating designs to wrap around the surface of polyhedra. The study was concerned with symmetry in pattern but did not consider symmetries that involve a color change. A pattern is said to have color symmetry when it exhibits, as a minimum, one symmetry that is color-changing. Counterchange designs are produced when the color-changing symmetries of a pattern involve only two colors. This paper discusses the problems involved in the application of counterchange patterns to polyhedra, focusing particular attention on the icosahedron.
Extended Abstract
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Used References
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http://archive.bridgesmathart.org/2009/bridges2009-177.pdf
