Deltoidal dodecahedron
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| Deltoidal dodecahedron | |
|---|---|
 | |
| Rank | 3 |
| Type | Isotopic |
| Notation | |
| Coxeter diagram | m3o3m |
| Elements | |
| Faces | 12 kites |
| Edges | 12+12 |
| Vertices | 4+4+6 |
| Vertex figure | 4+4 triangles, 6 rhombi |
| Measures (edge lengths 1, a) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Rhombitetratetrahedron |
| Conjugate | Deltoidal dodecahedron |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | A3, order 24 |
| Convex | Yes |
| Nature | Tame |
The deltoidal dodecahedron is a variant of the rhombic dodecahedron with tetrahedral symmetry, dual to the rhombitetratetrahedron. It has 12 identical kites for faces.
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