# 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.

 VertexSymbol WythoffSymbol No. ofVertices No. ofEdges {3}Faces {5}Faces SymmetryGroup Dual Polyhedron 3.3.3.3.5 | 2 3 5 60 150 20+60 12 A5 PentagonalHexecontahedron

Edge ratios:

• e/rho = 0.47686
• e/R = 0.46386
• e/(e_12) = 0.562
• e/(e_20) = 0.364

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.