Global InformationDiminished rhombic dodecahedron information
| Diminished rhombic dodecahedron | |
|---|---|
 | |
| Faces | 13: 8 rhombi 4 triangles 1 square |
| Edges | 24 |
| Vertices | 13 |
| Symmetry group | C4v, order 8 |
| Dual polyhedron | Self-dual |
| Properties | convex |
| Net | |
 | |
In geometry, a diminished rhombic dodecahedron is a rhombic dodecahedron with one or more vertices removed. This article describes diminishing one 4-valence vertex. This diminishment creates one new square face while 4 rhombic faces are reduced to triangles. It has 13 vertices, 24 edges, and 13 faces. It has C4v symmetry, order 8.
Like the rhombic dodecahedron, the long diagonal of each rhombic face is √2 times the length of the short diagonal, so that the acute angles on each face measure arccos(1/3), or approximately 70.53°.