The Truncated Dodecahedron

A semi-regular polyhedron with two decagons and a triangle meeting at each vetex.

The truncated dodecahedron is one of the thirteen archimedian solids. It can be created by slicing suitable sections off the vertices of either a dodecahedron or an icosahedron and thus may be inscribed in either solid.

Vertex
Symbol
Wythoff
Symbol
No. of
Vertices
No. of
Edges
{3}
Faces
{10}
Faces
Symmetry
Group
Dual Polyhedron
3.10.10 2 3 | 5 60 90 20 12 A5×C2 Triakis Icosahedron

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.