Truncated tetrahedral prism
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.
| Truncated tetrahedral prism | |
|---|---|
 Schlegel diagram | |
| Type | Prismatic uniform polychoron |
| Uniform index | 49 |
| Schläfli symbol | t0,1{3,3}×{} |
| Coxeter-Dynkin |     |
| Cells | 10: 2  4  4  |
| Faces | 24: 8 {3} + 18 {4} + 8 {6} |
| Edges | 48 |
| Vertices | 24 |
| Vertex figure |  Isosceles-triangular pyramid |
| Symmetry group | [3,3,2], order 48 |
| Properties | convex |
It is one of 18 uniform polyhedral prisms created by using uniform prisms to connect pairs of parallel Platonic solids and Archimedean solids.
Alternative names
- Truncated-tetrahedral dyadic prism (Norman W. Johnson)
- Tuttip (Jonathan Bowers: for truncated-tetrahedral prism)
- Truncated tetrahedral hyperprism
gollark: I don't have one because they're expensive and I disagree with the entire concept of graphing calculators.
gollark: Some of the fancier graphing models' polynomial solver things go up to a degree of 6 for unfathomable reasons, but they are probably approximatizing.
gollark: Otherwise it would probably go up to quintics and such.
gollark: My calculator can solve quartics and I doubt it just approximates them.
gollark: As you can see, it burns.
External links
- 6. Convex uniform prismatic polychora - Model 49, George Olshevsky.
- Klitzing, Richard. "4D uniform polytopes (polychora) x x3x3o - tuttip".
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