Tetragonal icositetrahedron
Jump to navigation
Jump to search
| Tetragonal icositetrahedron | |
|---|---|
 | |
| Rank | 3 |
| Type | Isotopic |
| Notation | |
| Coxeter diagram | m4p3p (    ) |
| Elements | |
| Faces | 24 irregular tetragons |
| Edges | 12+12+24 |
| Vertices | 6+8+12 |
| Vertex figure | 8 triangles, 12 kites, 6 rhombi |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Pyritosnub cube |
| Abstract & topological properties | |
| Flag count | 192 |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | B3/2, order 24 |
| Flag orbits | 8 |
| Convex | Yes |
| Nature | Tame |
The tetragonal icositetrahedron or dyakis dodecahedron is a variant of the deltoidal icositetrahedron with pyritohedral symmetry. It has 24 identical irregular tetragons for faces, with 3 vertex types.