Automatic generation of aesthetic patterns on fractal tilings by means of dynamical systems

DOI10.1016/j.chaos.2004.09.115zbMath1088.37004OpenAlexW2034506745MaRDI QIDQ1777033

Niranjan Chakravarthy

Publication date: 12 May 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.09.115

zbMATH Keywords

chaotic attractors\(f\)-tilingsinvariant mappingsclassification of fractal tilings with kite-shaped and dart-shaped prototilescolour schemes

Mathematics Subject Classification ID

Related Items (4)

Fractal tilings based on successive adjacent substitution rule ⋮ Fractal properties of interpolatory subdivision schemes and their application in fractal generation ⋮ The visualization of spherical patterns with symmetries of the wallpaper group ⋮ FRACTAL TILINGS FROM SUBSTITUTION TILINGS

Cites Work

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• Matching rules and substitution tilings
• Efficient generation of hyperbolic symmetries from dynamics
• \(n\)-dimensional chaotic attractors with crystallographic symmetry
• Tessellations in three-dimensional hyperbolic space from dynamics and the quaternions
• Automatic generation of nonperiodic patterns from dynamical systems
• AUTOMATIC GENERATION OF AESTHETIC PATTERNS ON APERIODIC TILINGS BY MEANS OF DYNAMICAL SYSTEMS
• The undecidability of the domino problem

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