Octagonally tetrablended truncated tesseract
Jump to navigation
Jump to search
| Octagonally tetrablended truncated tesseract | |
|---|---|
 | |
| Rank | 4 |
| Type | Scaliform |
| Notation | |
| Bowers style acronym | Otbott |
| Elements | |
| Cells | 64 tetrahedra 16 blends of 2 truncated cubes |
| Faces | 256 triangles 64 octagons |
| Edges | 256 3-fold 128 4-fold |
| Vertices | 128 |
| Vertex figure | Butterfly wedge, edge lengths √2+√2 (long butterfly edges) and 1 (remaining edges) |
| Measures (edge length 1) | |
| Circumradius | |
| Hypervolume | 0 |
| Related polytopes | |
| Army | Oadet |
| Regiment | Otbott |
| Conjugate | Octagonally tetrablended quasitruncated tesseract |
| Abstract & topological properties | |
| Euler characteristic | -16 |
| Orientable | Yes |
| Properties | |
| Symmetry | I2(8)≀S2, order 512 |
| Convex | No |
| Nature | Tame |
The octagonally tetrablended truncated tesseract or otbott is a nonconvex scaliform polychoron that consists of 64 regular tetrahedra and 16 blends of 2 truncated cubes. 2 tetrahedra and 4 blends of 2 truncated cubes join at each vertex.
It can be constructed as a blend of 4 truncated tesseracts in the same way ondip is constructed as a blend of 4 sidpith. Its vertex figure is in turn a blend of two vertex figures of the truncated tesseract. It has the same symmetry as the octagonal duoprism.
External links[edit | edit source]
- Bowers, Jonathan. "Category S3: Special Scaliforms" (#S34).
- Klitzing, Richard. "otbott".