A number of cube 6-compounds can be constructed. The compound illustrated above is obtained by combining six cubes, each rotated by 1/6 of a turn about the line joining the centroids of opposite faces of an initial cube. The illustration at right above shows a paper sculpture of this compound.

A net for constructing the above compound is illustrated above, where

			(1)
			(2)
			(3)
			(4)
			(5)
			(6)
			(7)
			(8)
			(9)
			(10)
			(11)
			(12)
			(13)

It has surface area

(14)

compared to for each of the six constituent cubes.

The compound illustrated above is obtained by combining six cubes, each rotated by 1/8 of a turn about the line joining the centroids of opposite faces of an initial cube.

Hart, G. "Cube Six-Compound." http://www.georgehart.com/virtual-polyhedra/vrml/cubes_S4_D2.wrl.

CITE THIS AS:

Weisstein, Eric W. "Cube 6-Compound." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Cube6-Compound.html