| Elongated dodecahedron | |
|---|---|
 | |
| Type | Parallelohedron |
| Faces | 8 rhombi 4 hexagons |
| Edges | 28 |
| Vertices | 18 |
| Vertex configuration | (8) 4.6.6 (8) 4.4.6 (2) 4.4.4.4 |
| Symmetry group | Dihedral (D4h), [4,2], (*422), order 16 |
| Rotation group | D4, [4,2]+, (422), order 8 |
| Properties | Convex |
| Net | |
 | |
In geometry, the elongated dodecahedron,[1] extended rhombic dodecahedron, rhombo-hexagonal dodecahedron[2] or hexarhombic dodecahedron[3] is a convex dodecahedron with 8 rhombic and 4 hexagonal faces. The hexagons can be made equilateral, or regular depending on the shape of the rhombi. It can be seen as constructed from a rhombic dodecahedron elongated by a square prism.
- ^ Coxeter (1973) p.257
- ^ Williamson (1979) p169
- ^ Fedorov's five parallelohedra in R³