Related Polyhedra
The icosidodecahedron is a rectified dodecahedron and also a rectified icosahedron, existing as the full-edge truncation between these regular solids.
The icosidodecahedron contains 12 pentagons of the dodecahedron and 20 triangles of the icosahedron:
| {5,3} | t0,1{5,3} | t1{5,3} | t0,1{3,5} | {3,5} | t0,2{5,3} | t0,1,2{5,3} | s{5,3} |
|---|---|---|---|---|---|---|---|
The icosidodecahedron can be seen in a sequence of quasiregular polyhedrons and tilings:
| Spherical polyhedra | Euclidean tiling | Hyperbolic tiling | |||||
|---|---|---|---|---|---|---|---|
| Symmetry | *332 Td |
*432 Oh |
*532 Ih |
*632 p6m |
*732 |
*832 |
*∞32 |
| Quasiregular figures |
Octahedron |
Cuboctahedron |
Icosidodecahedron |
Trihexagonal tiling |
Triheptagonal tiling |
Trioctagonal tiling |
|
| Vertex configuration | 3.3.3.3 | 3.4.3.4 | 3.5.3.5 | 3.6.3.6 | 3.7.3.7 | 3.8.3.8 | 3.∞.3.∞ |
| Coxeter diagram | |||||||
Read more about this topic: Icosidodecahedron
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