Trapezo-rhombic dodecahedron
In geometry, the trapezo-rhombic dodecahedron or rhombo-trapezoidal dodecahedron is a convex dodecahedron with 6 rhombic and 6 trapezoidal faces. It has D3h symmetry. A concave form can be constructed with an identical net, seen as excavating trigonal trapezohedra from the top and bottom. It is also called the trapezoidal dodecahedron.
| Trapezo-rhombic dodecahedron | |
|---|---|
| Type | Plesiohedron Johnson solid dual |
| Faces | 6 rhombi 6 trapezoids |
| Edges | 24 |
| Vertices | 14 |
| Vertex configuration | (2) 4.4.4 (6) 4.4.4.4 (6) 4.4.4 |
| Symmetry group | D3h, [3,2], (*322), order 12 |
| Rotation group | D3, [3,2]+, (322), order 6 |
| Dual polyhedron | Triangular orthobicupola |
| Properties | convex |
| Net | |
Concave configuration
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