Previous studies have used 2-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.

Galleries showing the behavior as β and r vary:

[Both views] [Side view] [Top view]

Preprint of the [Manuscript] [Figures (14M)].

See also:
· [Abstract]
· A quasi-crystalline 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]