'Smaller and smaller' from dynamics

K. W. Chung; H. S Y Chan; B. N. Wang

doi:10.1016/S0097-8493(98)00050-8

'Smaller and smaller' from dynamics

K. W. Chung, H. S Y Chan, B. N. Wang

Department of Mathematics

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

6 Citations (Scopus)

Abstract

By studying the periodic drawings of the Dutch Artist M.C. Escher, we find that the simplest group of the seventeen wallpaper group, PI, can be 'visualized' in the upper halfplane as a symmetrical tessellation with self-similar properties. Iterative mappings are constructed and an algorithm is presented to automatically generate coloured patterns with this symmetry. This method can be used to create a great variety of artistic symmetrical patterns. © 1998 Elsevier Science Ltd. All rights reserved.

Original language	English
Pages (from-to)	527-536
Journal	Computers and Graphics (Pergamon)
Volume	22
Issue number	4
DOIs	https://doi.org/10.1016/S0097-8493(98)00050-8
Publication status	Published - 1998

Research Keywords

Computer graphics
Dynamical systems
Wallpaper groups

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10.1016/S0097-8493(98)00050-8

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AU - Chung, K. W.

AU - Chan, H. S Y

AU - Wang, B. N.

PY - 1998

Y1 - 1998

N2 - By studying the periodic drawings of the Dutch Artist M.C. Escher, we find that the simplest group of the seventeen wallpaper group, PI, can be 'visualized' in the upper halfplane as a symmetrical tessellation with self-similar properties. Iterative mappings are constructed and an algorithm is presented to automatically generate coloured patterns with this symmetry. This method can be used to create a great variety of artistic symmetrical patterns. © 1998 Elsevier Science Ltd. All rights reserved.

AB - By studying the periodic drawings of the Dutch Artist M.C. Escher, we find that the simplest group of the seventeen wallpaper group, PI, can be 'visualized' in the upper halfplane as a symmetrical tessellation with self-similar properties. Iterative mappings are constructed and an algorithm is presented to automatically generate coloured patterns with this symmetry. This method can be used to create a great variety of artistic symmetrical patterns. © 1998 Elsevier Science Ltd. All rights reserved.

KW - Computer graphics

KW - Dynamical systems

KW - Wallpaper groups

UR - http://www.scopus.com/inward/record.url?scp=0032120617&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0032120617&origin=recordpage

U2 - 10.1016/S0097-8493(98)00050-8

DO - 10.1016/S0097-8493(98)00050-8

M3 - RGC 21 - Publication in refereed journal

SN - 0097-8493

VL - 22

SP - 527

EP - 536

JO - Computers and Graphics (Pergamon)

JF - Computers and Graphics (Pergamon)

IS - 4

ER -

'Smaller and smaller' from dynamics

Abstract

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