title: Truncated tetrahedral prism
text: # Truncated tetrahedral prism
  
  Truncated tetrahedral prism :
  
  | Schlegel diagram ||
  | - | - |
  | Type | Prismatic uniform polychoron |
  | Uniform index | 49 |
  | Schläfli symbol | t{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 figure | 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.
  
  It is one of 18 uniform polyhedral prisms created by using uniform prisms to connect pairs of parallel Platonic solids and Archimedean solids.
  
  Net
  
  ## Alternative names
  
  * Truncated-tetrahedral dyadic prism (Norman W. Johnson)
  * Tuttip (Jonathan Bowers: for truncated-tetrahedral prism)
  * Truncated tetrahedral hyperprism
  