The Snub Dodecahedron

A semi-regular polyhedron with four triangles and a pentagon meeting at each vertex.

The snub dodecahedron is one of the thirteen archimedian solids. The pentagonal faces lie on the surface of a circumscribing dodecahedron, and twenty of the triangular faces lie on a circumscribing icosahedron.

Vertex
Symbol
Wythoff
Symbol
No. of
Vertices
No. of
Edges
{3}
Faces
{5}
Faces
Symmetry
Group
Dual Polyhedron
3.3.3.3.5 | 2 3 5 60 150 20+60 12 A5 Pentagonal
Hexecontahedron

Edge ratios:

where `e` is the edge length, `rho` is the inter-radius, `R` is the circum-radius, `e_12` is the edge of the circumscribing dodecahedron, and `e_20` is the edge of the circumscribing icosahedron.