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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
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(6)
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(7)
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(8)
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(11)
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(12)
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(13)
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It has surface area
(14)
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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.