Tetartoid
Jump to navigation
Jump to search
| Tetartoid | |
|---|---|
 | |
| Rank | 3 |
| Type | Isotopic |
| Notation | |
| Coxeter diagram | p3p3p (  ) |
| Elements | |
| Faces | 12 irregular pentagons |
| Edges | 6+12+12 |
| Vertices | 4+4+12 |
| Vertex figure | 4+4 triangles, 12 scalene triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Snub tetrahedron |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | A3+, order 12 |
| Convex | Yes |
| Nature | Tame |
The tetartoid is a variant of the dodecahedron with chiral tetrahedral symmetry. It has 12 identical irregular pentagons for faces, with 3 vertex types.