Gourt Home::Gourt :: Trapezo-rhombic dodecahedron
| Trapezo-rhombic dodecahedron | |
|---|---|
| Type | - |
| Faces | 6 rhombus, 6 trapezoid |
| Edges | 24 |
| Vertices | 14 |
| Vertex configuration | (2) 4.4.4 (6) 4.4.4.4 (6) 4.4.4 |
| Symmetry group | Dihedral (D3h) |
| Dual polyhedron | Triangular orthobicupola |
| Properties | convex |
This shape could be constructed by taking a tall uniform hexagonal prism, and making 3 angled cuts on the top and bottom. The trapezoids represent what remains of the original prism sides, and the 6 rhombi a result of the top and bottom cuts.
A space-filling tessellation (or honeycomb) can be made by translated copies of this cell. Each "layer" is a hexagonal tiling, and alternate layers are connected by shifting their centers so the rhombic faces match up.
It is the polyhedral dual of the triangular orthobicupola.
External links
"Trapezo-rhombic dodecahedron"