Talk:Weaire-Phelan structure

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[edit] Voronoi approximation

The structure appears to be approximated by a Voronoi partition whose nuclei are (0,0,0), (1,1,1), and all rotations of (0,1/2,1) and (0,3/2,1), with period 2 in each dimension. Is this correct? —Tamfang (talk) 21:18, 25 May 2008 (UTC)

Sounds quite likely, but I have not studied the Voroni approach. The polyhedral structure also corresponds to what crystallographers call (or used to call?) a Frank-Kasper phase (ISTR that I originally wrote something about this, but it was deleted because I could not cite a reference - the book had gone back to the library and I lost my note of its title). Anyway, it's well enough known and its Voroni derivation has surely been documented somewhere. Sorry I can't help more. -- Cheers, Steelpillow 09:43, 26 May 2008 (UTC)