Complex Symmetries in Repeating Hyperbolic Patterns

Douglas Dunham ()
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Douglas Dunham: University of Minnesota Duluth, Department of Computer Science

A chapter in Complex Symmetries, 2021, pp 11-16 from Springer

Abstract: Abstract One often uses complex symmetry transformations in order to create art in the hyperbolic plane, producing repeating patterns with corresponding complex symmetries. We explore such transformations for a specific pattern, but these transformations are characteristic of many hyperbolic patterns, including those of M.C. Escher. We also explore the use of color symmetry in creating these patterns, which adds another degree of complexity to the transformations.

Keywords: symmetries; hyperbolic; transformations; color symmetry; M.C.Escher; artistic patterns (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-88059-0_2

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DOI: 10.1007/978-3-030-88059-0_2

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