Truncated tetrahedral prism

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Truncated tetrahedral prism
Truncated tetrahedral prism.png
Schlegel diagram
Type Prismatic uniform polychoron
Uniform index 49
Schläfli symbol t0,1{3,3}×{}
Coxeter-Dynkin CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node 1.png
Cells 10:
2 Truncated tetrahedron.png 3.6.6
4 Triangular prism.png 3.4.4
4 Hexagonal prism.png 4.4.6
Faces 24:
8 {3} + 18 {4} + 8 {6}
Edges 48
Vertices 24
Vertex figure Truncated tetrahedral prism verf.png
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.

Truncated tetrahedral prism net.png
Net

Alternative names[edit]

  1. Truncated-tetrahedral dyadic prism (Norman W. Johnson)
  2. Tuttip (Jonathan Bowers: for truncated-tetrahedral prism)
  3. Truncated tetrahedral hyperprism

External links[edit]