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
Famous quotes containing the word related:
“Just as a new scientific discovery manifests something that was already latent in the order of nature, and at the same time is logically related to the total structure of the existing science, so the new poem manifests something that was already latent in the order of words.”
—Northrop Frye (b. 1912)