Cuboctahedron designs

Grannell, Mike; Griggs, Terry and Holroyd, Fred (2000). Cuboctahedron designs. Journal of Combinatorial Mathematics and Combinatorial Computing, 35, pp. 185–191.

Abstract

We prove that the complete graph $K_v$ can be decomposed into cuboctahedra if and only if $v \equiv$ 1 or 33 (mod 48).

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