Truncated tetrahedral prism

Truncated tetrahedral prism

Schlegel diagram
TypePrismatic uniform polychoron
Uniform index49
Schläfli symbolt0,1{3,3}×{}
2 3.6.6
4 3.4.4
4 4.4.6
8 {3} + 18 {4} + 8 {6}
Vertex figure
Isosceles-triangular pyramid
Symmetry group[3,3,2], order 48

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.


Alternative names

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

External links

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