Ditruncated cube
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| Ditruncated cube | |
|---|---|
 | |
| Rank | 3 |
| Elements | |
| Faces | 24 triangles, 8 ditrigons, 6 hexadecagons |
| Edges | 12+24+24+48 |
| Vertices | 12+24 |
| Vertex figures | 24 isosceles triangles |
| 48 scalene triangles | |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Triakis triakis octahedron |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | B3, order 48 |
| Convex | Yes |
| Nature | Tame |
The ditruncated cube or truncated truncated cube is a convex polyhedron that consists of 8 hexagons, 6 hexadecagons, and 24 isosceles triangles. It can be formed by truncation of the truncated cube.
It appears as cells in some convex isogonal polychora, such as the truncated tetracontoctachoron.
External links[edit | edit source]
- McCooey, David. "Truncated truncated cube"