It shares the same
edge arrangement as the
great dirhombicosidodecahedron, but has a different set of triangular faces. The vertices and edges are also shared with the uniform compounds of
twenty octahedra or
twenty tetrahemihexahedra. 180 of the edges are shared with the
great snub dodecicosidodecahedron.
Dual polyhedron The
dual of the
great disnub dirhombidodecahedron is called the
great disnub dirhombidodecacron. It is a nonconvex infinite
isohedral polyhedron. Like the visually identical
great dirhombicosidodecacron in
Magnus Wenninger's
Dual Models, it is represented with intersecting infinite
prisms passing through the model center, cut off at a certain point that is convenient for the maker. Wenninger suggested these figures are members of a new class of
stellation polyhedra, called
stellation to infinity. However, he also acknowledged that strictly speaking they are not polyhedra because their construction does not conform to the usual definitions. == Gallery ==