| Truncated tetrahedral prism | |
|---|---|
Schlegel diagram |
|
| Type | Prismatic uniform polychoron |
| Uniform index | 49 |
| Schläfli symbol | t0,1{3,3}×{} |
| Coxeter-Dynkin | |
| Cells | 10: 2 3.6.6 4 3.4.4 4 4.4.6 |
| Faces | 24: 8 {3} + 18 {4} + 8 {6} |
| Edges | 48 |
| Vertices | 24 |
| Vertex configuration | Isosceles-triangular pyramid |
| Symmetry group | [3,3,2], order 48 |
| Properties | convex |
In geometry, a truncated tetrahedral prism is a convex uniform polychoron (four dimensional polytope). This polychoron has 10 polyhedral cells: 2 truncated tetrahedra connected by 4 triangular prisms and 4 hexagonal prisms. It has 24 faces: 8 triangular, 18 square, and 8 hexagons. It has 48 edges and 24 vertices.
Alternative names:
It is one of 18 uniform polyhedral prisms created by using uniform prisms to connect pairs of parallel Platonic solids and Archimedean solids.