The Small Rhombicosidodecahedron
A semi-regular polyhedron with (in order) a triangle, a square, a pentagon, and another square surrounding each vertex.
The small rhombicosidodecahedron is one of the thirteen archimedian solids. Each of its faces belongs to one of three circubscribing solids: the dodecahedron, the icosahedron, and the rhombic triacontahedron.
| Vertex Symbol |
Wythoff Symbol |
No. of Vertices |
No. of Edges |
{3} Faces |
{4} Faces |
{5} Faces |
Symmetry Group |
Dual Polyhedron |
| 3.4.5.4 | 3 5 | 2 | 60 | 120 | 20 | 30 | 12 | A5×C2 | Trapezoidal Hexecontahedron |
|
Edge Inter-Radius |
= |
 2 tan18°
|
Edge Circum-Radius |
= |
2(11 – 45)41
|
|
Edge Icosahedral Edge |
= |
1 + 35 22 |
Edge Dodecahedral Edge |
= |
1 + 5 6 |
Edge Long Rhombic Diagonal |
= |
3 – 5 2 |