A stellated form of a truncated icosahedron, but a different truncation than in the truncated icosahedron Archimedean solid. It contains curious but attractive patterns of raised regular pentagrams and irregular hexagrams. The illustration at right above shows a paper sculpture of the dodecahedron-small triambic icosahedron compound.

For the solid constructed from a small triambic icosahedron with longest edge length equal to unity, the solid has lengths

			(1)
			(2)
			(3)
			(4)

The dodecahedron component has circumradius

(5)

The surface area is given by the smallest positive root of

(6)

approximately equal to , and the volume is given by

(7)

Wenninger, M. J. Dual Models. Cambridge, England: Cambridge University Press, pp. 51-52 1983.

CITE THIS AS:

Weisstein, Eric W. "Dodecahedron-Small Triambic Icosahedron Compound." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Dodecahedron-SmallTriambicIcosahedronCompound.html