Symmetrical Patterns from Dynamics

K. W. Chung; H. S Y Chan

doi:10.1111/1467-8659.1210033

Symmetrical Patterns from Dynamics

K. W. Chung, H. S Y Chan

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

14 Citations (Scopus)

Abstract

Automatic generation of symmetrical patterns belonging to all seventeen wallpaper groups is considered from a dynamical system's point of view. A pseudo‐code of the algorithm is provided to generate the computer graphics. The method is shown to be able to create unlimited varieties of patterns and demonstrates the possibility of relaxing the crystallographic restriction to produce aperiodic patterns. Copyright © 1993, Wiley Blackwell. All rights reserved

Original language	English
Pages (from-to)	33-40
Journal	Computer Graphics Forum
Volume	12
Issue number	1
DOIs	https://doi.org/10.1111/1467-8659.1210033
Publication status	Published - Feb 1993

Research Keywords

Computer graphics
dynamical systems
wallpaper groups

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10.1111/1467-8659.1210033

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title = "Symmetrical Patterns from Dynamics",

abstract = "Automatic generation of symmetrical patterns belonging to all seventeen wallpaper groups is considered from a dynamical system's point of view. A pseudo‐code of the algorithm is provided to generate the computer graphics. The method is shown to be able to create unlimited varieties of patterns and demonstrates the possibility of relaxing the crystallographic restriction to produce aperiodic patterns. Copyright {\textcopyright} 1993, Wiley Blackwell. All rights reserved",

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AB - Automatic generation of symmetrical patterns belonging to all seventeen wallpaper groups is considered from a dynamical system's point of view. A pseudo‐code of the algorithm is provided to generate the computer graphics. The method is shown to be able to create unlimited varieties of patterns and demonstrates the possibility of relaxing the crystallographic restriction to produce aperiodic patterns. Copyright © 1993, Wiley Blackwell. All rights reserved

KW - Computer graphics

KW - dynamical systems

KW - wallpaper groups

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DO - 10.1111/1467-8659.1210033

M3 - RGC 21 - Publication in refereed journal

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JO - Computer Graphics Forum

JF - Computer Graphics Forum

IS - 1

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Symmetrical Patterns from Dynamics

Abstract

Research Keywords

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