Octahedral hyperprism

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Octahedral hyperprism

Schlegel diagram
Type Prismatic uniform polychoron
Cells 2 (3.3.3.3)
8 (3.4.4)
Faces 16 {3}, 12 {4}
Edges 30
Vertices 12
Vertex configuration Square pyramid
Coxeter group [3,4]x[]
Schläfli symbol {3,4}x{}
Properties convex
Transparent Schlegel diagram
Transparent Schlegel diagram

In geometry, a octahedral hyperprism is a convex uniform polychoron (four dimensional polytope). This polychoron has 10 polyhedral cells: 2 octahedra connected by 8 triangular prisms.

Alternative names:

  1. Octahedral dyadic prism (Norman W. Johnson)
  2. Ope (Jonathan Bowers: for octahedral prism)
  3. Triangular antiprismatic prism
  4. Triangular antiprismatic hyperprism

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

It is also the first in an infinite series of uniform antiprismatic hyperprisms.

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