An attractive compound can be obtained by combining six dodecahedra, each rotated by 1/10 of a turn about the line joining the centroids of opposite faces. The illustration at right above shows a paper sculpture of the dodecahedron 6-compound.

It is implemented in Mathematica as PolyhedronData["DodecahedronSixCompound"].

A net for constructing the compound is illustrated above, where

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

The surface area of the compound is

(11)

Hart, G. "Compound of 6 Dodecahedra." http://www.georgehart.com/virtual-polyhedra/vrml/compound_of_6_dodecahedra.wrl.

CITE THIS AS:

Weisstein, Eric W. "Dodecahedron 6-Compound." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Dodecahedron6-Compound.html