The visualization of spherical patterns with symmetries of the wallpaper group

DOI10.1155/2018/7315695zbMath1398.52025OpenAlexW2788453866MaRDI QIDQ1784290

Shihuan Liu, Peichang Ouyang, Ming Leng

Publication date: 26 September 2018

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/7315695

zbMATH Keywords

infinite symmetriescolorful wallpaper patternsspherical patternsvariant mappings

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Polyhedra and polytopes; regular figures, division of spaces (51M20) Other geometric groups, including crystallographic groups (20H15) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Symmetric groups (20B30)

Related Items (1)

A new approach to fuzzy sets: application to the design of nonlinear time series, symmetry-breaking patterns, and non-sinusoidal limit-cycle oscillations

Cites Work

• Automatic generation of aesthetic patterns on fractal tilings by means of dynamical systems
• Chaotic attractors with discrete planar symmetries
• Aesthetic patterns with symmetries of the regular polyhedron
• Linear Algebra and Geometry
• XII. Über die Analogie der Kristallsymmetrie in der Ebene
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