Compound of five great dodecahedra explained

bgcolor=#e7dcc3 colspan=2Compound of five great dodecahedra
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TypeUniform compound
IndexUC49
Polyhedra5 great dodecahedra
Faces60 pentagons
Edges150
Vertices60
Symmetry groupicosahedral (Ih)
Subgroup restricting to one constituentpyritohedral (Th)
This uniform polyhedron compound is a composition of 5 great dodecahedra, in the same arrangement as in the compound of 5 icosahedra.

It is one of only five polyhedral compounds (along with the compound of six tetrahedra, the compound of two great dodecahedra, the compound of two small stellated dodecahedra, and the compound of five small stellated dodecahedra) which is vertex-transitive and face-transitive but not edge-transitive.

References