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A compound with the symmetry of the Cube which arises by joining three Cubes such that each shares
two 
axes (Holden 1971, p. 35).
See also Cube, Cube 2-Compound, Cube 4-Compound, Cube 5-Compound, Polyhedron Compound
References
Holden, A. Shapes, Space, and Symmetry. New York: Dover, 1991.