Colorful patterns with discrete planar symmetries from dynamical systems

Jian Lu; Yuru Zou; Wenxia Li

doi:10.1142/S0218348X10004671

Colorful patterns with discrete planar symmetries from dynamical systems

Jian Lu^*
, Yuru Zou
, Wenxia Li

^*Corresponding author for this work

School of Mathematical Sciences

Shenzhen University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Automatic generation of colored patterns with discrete planar symmetries is considered from a dynamical system's point of view. Invariant mappings with such symmetries are constructed to serve as the density functions for the generation of colorful images.

Original language	English
Pages (from-to)	35-43
Number of pages	9
Journal	Fractals
Volume	18
Issue number	1
DOIs	https://doi.org/10.1142/S0218348X10004671
State	Published - Mar 2010

Keywords

Cyclic and Dihedral Groups
Frieze and Crystallographic Groups
Invariant Mapping

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10.1142/S0218348X10004671

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title = "Colorful patterns with discrete planar symmetries from dynamical systems",

abstract = "Automatic generation of colored patterns with discrete planar symmetries is considered from a dynamical system's point of view. Invariant mappings with such symmetries are constructed to serve as the density functions for the generation of colorful images.",

keywords = "Cyclic and Dihedral Groups, Frieze and Crystallographic Groups, Invariant Mapping",

author = "Jian Lu and Yuru Zou and Wenxia Li",

year = "2010",

month = mar,

doi = "10.1142/S0218348X10004671",

language = "英语",

volume = "18",

pages = "35--43",

journal = "Fractals",

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T1 - Colorful patterns with discrete planar symmetries from dynamical systems

AU - Lu, Jian

AU - Zou, Yuru

AU - Li, Wenxia

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N2 - Automatic generation of colored patterns with discrete planar symmetries is considered from a dynamical system's point of view. Invariant mappings with such symmetries are constructed to serve as the density functions for the generation of colorful images.

AB - Automatic generation of colored patterns with discrete planar symmetries is considered from a dynamical system's point of view. Invariant mappings with such symmetries are constructed to serve as the density functions for the generation of colorful images.

KW - Cyclic and Dihedral Groups

KW - Frieze and Crystallographic Groups

KW - Invariant Mapping

UR - https://www.scopus.com/pages/publications/77951576424

U2 - 10.1142/S0218348X10004671

DO - 10.1142/S0218348X10004671

M3 - 文章

AN - SCOPUS:77951576424

SN - 0218-348X

VL - 18

SP - 35

EP - 43

JO - Fractals

JF - Fractals

IS - 1

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Colorful patterns with discrete planar symmetries from dynamical systems

Abstract

Keywords

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