Octahedral hyperprism
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Octahedral hyperprism | |
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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 |
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:
- Octahedral dyadic prism (Norman W. Johnson)
- Ope (Jonathan Bowers: for octahedral prism)
- Triangular antiprismatic prism
- 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.
[edit] External links
- Figure 51 Prismatic convex uniform polychora (George Olshevsky)