Back Trapezo-romba dekduedro Esperanto Dodecaedro trapezorrómbico Spanish Dodecaedru trapezorombic Romanian Трапецеромбический додекаэдр Russian Trapezorombski dodekaeder Slovenian 梯形菱形十二面體 Chinese
 | This article includes a list of general references, but it lacks sufficient corresponding inline citations. (April 2023) |
| 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
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.[1]
- ^ Lagarias, Jeffrey C. (2011). "The Kepler conjecture and its proof". The Kepler Conjecture: The Hales–Ferguson proof. Springer, New York. pp. 3–26. doi:10.1007/978-1-4614-1129-1_1. ISBN 978-1-4614-1128-4. MR 3050907.; see especially p. 11