Truncated octahedral prism

Truncated octahedral prism
Schlegel diagram
Type	Prismatic uniform polychoron
Uniform index	54
Schläfli symbol	t0,1{3,4}×{} t0,1,2{3,3}×{}
Coxeter-Dynkin
Cells	16: 2 3.6.6 6 {4,3} 8 {}x{6}
Faces	64: 48 {4} 16 {6}
Edges	96
Vertices	48
Vertex configuration	Isosceles-triangular pyramid
Symmetry group	[3,4,2], order 96 [3,3,2], order 48
Properties	convex

In 4-dimensional geometry, a truncated octahedral prism is a convex uniform polychoron (four dimensional polytope). This polychoron has 16 cells (2 truncated octahedra connected by 6 cubes, 8 hexagonal prisms.) It has 64 faces (48 squares and 16 hexagons), and 96 edges and 48 vertices.

It has two symmetry constructions, one from the truncated octahedron, and one as an omnitruncation of the tetrahedron.

Alternative names:

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

It is one of 18 uniform polyhedral prisms created by using uniform prisms to connect pairs of parallel Platonic solids and Archimedean solids.

External links

• 6. Convex uniform prismatic polychora - Model 54, George Olshevsky.
• Richard Klitzing, 4D uniform polytopes (polychora), x x3x3x - tope

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