Chiral tetrated dodecahedron
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| Chiral tetrated dodecahedron | |
|---|---|
 | |
| Rank | 3 |
| Type | Near-miss |
| Elements | |
| Faces | 12+12 scalene triangles, 4 triangles, 12 irregular pentagons |
| Edges | 12+12+12+12+12+12 |
| Vertices | 4+6+12+12 |
| Vertex figures | 4 triangles |
| 12 irregular quadrilaterals | |
| 12 parallelograms | |
| irregular pentagons | |
| Measures (edge length 1) | |
| Edge length ratio | 1.03261 |
| Central density | 1 |
| Number of external pieces | 40 |
| Related polytopes | |
| Conjugate | None |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | A3+, order 12 |
| Convex | Yes |
| Nature | Tame |
The chiral tetrated dodecahedron is a near-miss Johnson solid. Its faces are 12+12 scalene triangles, 4 triangles and 12 irregular pentagons.
