Automatic generation of hyperbolic drawings

Peichang Ouyang, Robert W. Fathauer, Kwok-wai Chung and Xinchang Wang

Applied Mathematics and Computation, 2019, vol. 347, issue C, 653-663

Abstract: So far the amount of artistically interesting drawings similar to Circle Limit I-IV is very limit. Still a few examples created by M.C. Escher are the outstanding hyperbolic arts. Based on hyperbolic geometry and computer graphics techniques, this article presents an easily-reproducible approach to generate drawings similar to Circle Limit I-IV. To create more kinds of elegant hyperbolic drawings, several conformal mappings are proposed to transform disc drawings into some special domains. The method can be used to create a great variety of hyperbolic drawings.

Keywords: Hyperbolic geometry; Symmetry group; Circle Limit I-IV; Conformal mapping (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:347:y:2019:i:c:p:653-663

DOI: 10.1016/j.amc.2018.09.052

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