Colorful symmetric images in three-dimensional space from dynamical systems

Jian Lu; Yuru Zou; Zeyi Liu; Wenxia Li

doi:10.1142/S0218348X12500053

Colorful symmetric images in three-dimensional space from dynamical systems

Jian Lu^*
, Yuru Zou
, Zeyi Liu
, Wenxia Li

^*Corresponding author for this work

School of Mathematical Sciences

Shenzhen University

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

3 Scopus citations

Abstract

Functions that are invariant with respect to the tetrahedral and cubic symmetries are determined. These invariant mappings are applied to serve as the density functions for automatic generation of the colorful images with such symmetries in three dimensional space from a dynamical system's point of view.

Original language	English
Pages (from-to)	53-60
Number of pages	8
Journal	Fractals
Volume	20
Issue number	1
DOIs	https://doi.org/10.1142/S0218348X12500053
State	Published - Mar 2012

Keywords

Cube
Dynamical Systems
Invariant Mapping
Tetrahedron

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title = "Colorful symmetric images in three-dimensional space from dynamical systems",

abstract = "Functions that are invariant with respect to the tetrahedral and cubic symmetries are determined. These invariant mappings are applied to serve as the density functions for automatic generation of the colorful images with such symmetries in three dimensional space from a dynamical system's point of view.",

keywords = "Cube, Dynamical Systems, Invariant Mapping, Tetrahedron",

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

year = "2012",

month = mar,

doi = "10.1142/S0218348X12500053",

language = "英语",

volume = "20",

pages = "53--60",

journal = "Fractals",

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T1 - Colorful symmetric images in three-dimensional space from dynamical systems

AU - Lu, Jian

AU - Zou, Yuru

AU - Liu, Zeyi

AU - Li, Wenxia

PY - 2012/3

Y1 - 2012/3

N2 - Functions that are invariant with respect to the tetrahedral and cubic symmetries are determined. These invariant mappings are applied to serve as the density functions for automatic generation of the colorful images with such symmetries in three dimensional space from a dynamical system's point of view.

AB - Functions that are invariant with respect to the tetrahedral and cubic symmetries are determined. These invariant mappings are applied to serve as the density functions for automatic generation of the colorful images with such symmetries in three dimensional space from a dynamical system's point of view.

KW - Cube

KW - Dynamical Systems

KW - Invariant Mapping

KW - Tetrahedron

UR - https://www.scopus.com/pages/publications/84863237677

U2 - 10.1142/S0218348X12500053

DO - 10.1142/S0218348X12500053

M3 - 文章

AN - SCOPUS:84863237677

SN - 0218-348X

VL - 20

SP - 53

EP - 60

JO - Fractals

JF - Fractals

IS - 1

ER -

Colorful symmetric images in three-dimensional space from dynamical systems

Abstract

Keywords

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