The Truncated Icosahedron
A semi-regular polyhedron with two hexagons and a pentagon meeting at each vertex.
The truncated icosahedron 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 |
{5} Faces |
{6} Faces |
Symmetry Group |
Dual Polyhedron |
| 5.6.6 | 2 5 | 3 | 60 | 90 | 12 | 20 | A5×C2 | Pentakis Dodecahedron |
|
Edge Inter-Radius |
= |
 5 – 13 |
Edge Circum-Radius |
= |
(58 – 185)109
|
|
Edge Icosahedral Edge |
= |
1 3 |
Edge Dodecahedral Edge |
= |
7 + 55 38 |