Chaos and Graphics: A cellular model for three-dimensional snow crystallization

  • Authors:

  • Chen Ning;Clifford A. Reiter

  • Affiliations:

  • Faculty of Information and Control Engineering, Shenyang Jianzhu University, Shenyang 110168, China;Department of Mathematics, Lafayette College, Easton, PA 18042, USA

  • Venue:
  • Computers and Graphics
  • Year:
  • 2007

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Abstract

Snow crystals are intriguing because they exhibit both symmetry and remarkable diversity. Previous studies have used two-dimensional models to approximate snow crystal growth. Here generalizations to three dimensions are considered. In particular, a cellular arrangement of cells is updated according to local rules that involve the identification of receptive cells and averaging values from non-receptive sites. The cellular arrangement is the same as the configuration of water molecules in ice that occurs under ordinary conditions on Earth.