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  • Modeling snow crystal growth I: Rigorous results for Packard's digital snowflakes
    Gravner, Janko ; Griffeath, David
    Digital snowflakes are solidifying cellular automata on the triangular lattice with the property that a site having exactly one occupied neighbor always becomes occupied at the nex time step. We ... demonstrate that each such rule fills the lattice with an asymptotic density that is idependent of the intial finite set. There are some cases in which this density can be computed exactly, and others in which it can only be approximated. We also characterize when the final occupied set comes within a uniformly bounded distance of every lattice point. Other issues addressed include macroscopic dynamics and exact solvability.
    Vir: Experimental mathematics. - ISSN 1058-6458 (Vol. 15, no. 4, 2006, str. 421-444)
    Vrsta gradiva - članek, sestavni del
    Leto - 2006
    Jezik - angleški
    COBISS.SI-ID - 14250585

vir: Experimental mathematics. - ISSN 1058-6458 (Vol. 15, no. 4, 2006, str. 421-444)

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