THE STRUCTURE OF AGGREGATES—A CLASS OF 20-FACED SPACE-FILLING POLYHEDRA

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Abstract
An example is given of a class of partitions of space into polyhedral cells having an average of 20 faces each. The structure is derived from the Voronoi polyhedra of slightly distorted versions of the diamond lattice, which in turn are duals of the Delaunay simplices of the diamond lattice. A particular member of this class is described: it is a 20-faced stereohedron that packs to fill space by isometries including a rotation.

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