Compound of two snub dodecahedra explained

bgcolor=#e7dcc3 colspan=2Compound of two snub dodecahedra
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TypeUniform compound
IndexUC69
Schläfli symbolβr
Coxeter diagram
Polyhedra2 snub dodecahedra
Faces40+120 triangles, 24 pentagons
Edges300
Vertices120
Symmetry groupicosahedral (Ih)
Subgroup restricting to one constituentchiral icosahedral (I)
This uniform polyhedron compound is a composition of the 2 enantiomers of the snub dodecahedron.

The vertex arrangement of this compound is shared by a convex nonuniform truncated icosidodecahedron, with rectangular faces, alongside irregular hexagons and decagons, each alternating two different edge lengths.

Together with its convex hull, it represents the snub dodecahedron-first projection of the nonuniform snub dodecahedral antiprism.

References