 | This article may be too technical for most readers to understand. (April 2017) |
| Ten-of-diamonds decahedron | |
|---|---|
 | |
| Faces | 8 triangles 2 rhombi |
| Edges | 16 |
| Vertices | 8 |
| Symmetry group | D2d, order 8 |
| Dual polyhedron | Skew-truncated tetragonal disphenoid |
| Properties | space-filling |
In geometry, the ten-of-diamonds decahedron is a space-filling polyhedron with 10 faces, 2 opposite rhombi with orthogonal major axes, connected by 8 identical isosceles triangle faces. Although it is convex, it is not a Johnson solid because its faces are not composed entirely of regular polygons. Michael Goldberg named it after a playing card, as a 10-faced polyhedron with two opposite rhombic (diamond-shaped) faces. He catalogued it in a 1982 paper as 10-II, the second in a list of 26 known space-filling decahedra.[1]