AUTOMATIC GENERATION OF AESTHETIC PATTERNS ON APERIODIC TILINGS BY MEANS OF DYNAMICAL SYSTEMS-Reference-Cited by-同舟云学术

AUTOMATIC GENERATION OF AESTHETIC PATTERNS ON APERIODIC TILINGS BY MEANS OF DYNAMICAL SYSTEMS

Published:2004-09 Issue:09 Volume:14 Page:3249-3267
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

CHUNG K. W.¹,WANG B. N.²

Affiliation:

1. Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, P. R. China

2. Department of Systems Ecology, Academia Sinica, Beijing, P. R. China

Abstract

A new and fast algorithm is presented in this paper for the automatic generation of aesthetic patterns on aperiodic tilings by means of dynamical systems. The Penrose tilings are used as illustration of which invariant mappings are constructed for the creation of striking patterns. A modified convergence time scheme is described to enhance the artistic appeal of generated images. This algorithm can be used to create a great variety of exotic patterns with various aperiodicities.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127404011314

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