Generation of Escher‐like spiral drawings in a modified hyperbolic space

DOI10.1002/mma.9332MaRDI QIDQ6185450

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Publication date: 8 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

conformal mappinghyperbolic geometryspiral symmetrywallpaper groupEscher art

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Cites Work

• Hyperbolization of Euclidean ornaments
• Procedural generation of aesthetic patterns from dynamics and iteration processes
• Automatic generation of hyperbolic drawings
• The non-Euclidean revolution. With an introduction by H. S. M. Coxeter
• The trigonometry of Escher's woodcut Circle Limit III
• Computer-aided generation of Escher-like Sky and Water tiling patterns
• Abstract Regular Polytopes
• TESSELLATIONS WITH SYMMETRIES OF THE TRIANGLE GROUPS FROM DYNAMICS
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