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A Frank–Kasper structure is a 3‐periodic tiling of the Euclidean space by tetrahedra such that the vertex figure of any vertex belongs to four specified patterns with, respectively, 20, 24, 26 and 28 faces. Frank–Kasper structures occur in the crystallography of metallic alloys and clathrates. A new computer enumeration method has been devised for obtaining Frank–Kasper structures of up to 20 cells...
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