4.7 Article

A local cellular model for growth on quasicrystals

Journal

CHAOS SOLITONS & FRACTALS
Volume 24, Issue 3, Pages 803-812

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2004.09.092

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The growth of real valued cellular automata using a deterministic algorithm on 2-dimensional quasicrystalline structures is investigated. Quasicrystals are intermediate between the rigid organization of crystals and disorganized random structures. Since the quasicrystalline structures may be highly symmetric or not, we are able to obtain highly organized and relatively random growth patterns. This deterministic growth produces dendrite, sector, stellar, regular polygons, round, and random DLA-like structures. (C) 2004 Elsevier Ltd. All rights reserved.

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