Prince Chidyagwai and Clifford A. Reiter, A Local Cellular Model for Growth on Quasicrystals, Chaos, Solitons & Fractals, 24 (2005) 803-812.

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.

See also: · Some Images and animations related to the paper [Images, and Animations] [Preprint] · A 3-dimensional version: [Abstract] [Images and Other Materials] · A hexagonal version: [Abstract] [Images, and Animations] [Preprint] · Some Boolean variants: [Abstract] [Images, and Animations] · Some Fuzzy variants: [Abstract] [Images, and Animations] · Gravner-Griffeath Snowflakes