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A local cellular model for growth on quasicrystals

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  • Chidyagwai, Prince
  • Reiter, Clifford A.

Abstract

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.

Suggested Citation

  • Chidyagwai, Prince & Reiter, Clifford A., 2005. "A local cellular model for growth on quasicrystals," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 803-812.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:3:p:803-812
    DOI: 10.1016/j.chaos.2004.09.092
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    References listed on IDEAS

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    1. Reiter, Clifford A., 2005. "A local cellular model for snow crystal growth," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1111-1119.
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    Cited by:

    1. Moghari, Somaye & Ghorani, Maryam, 2022. "A symbiosis between cellular automata and dynamic weighted multigraph with application on virus spread modeling," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    2. Ko, Jing-Yuan & Hung, Yao-Chen & Ho, Ming-Chung & Jiang, I-Min, 2008. "Chaotic behavior in the disorder cellular automata," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 934-939.

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