Compound of two snub dodecahedra

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Compound of two snub dodecahedra
UC69-2 snub dodecahedra.png
Type Uniform compound
IndexUC69
Schläfli symbol βr{5,3}
Coxeter diagram CDel node h3.pngCDel 5.pngCDel node h3.pngCDel 3.pngCDel node h3.png
Polyhedra2 snub dodecahedra
Faces40+120 triangles, 24 pentagons
Edges300
Vertices120
Symmetry group icosahedral (Ih)
Subgroup restricting to one constituent chiral 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.

See also

References