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Runcinated 7-cubes
From Wikipedia, the free encyclopedia
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In seven-dimensional geometry, a runcinated 7-cube is a convex uniform 7-polytope with 3rd order truncations (runcination) of the regular 7-cube.
There are 16 unique runcinations of the 7-cube with permutations of truncations, and cantellations. 8 are more simply constructed from the 7-orthoplex.
These polytopes are among 127 uniform 7-polytopes with B7 symmetry.
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Runcinated 7-cube
| Runcinated 7-cube | |
|---|---|
| Type | uniform 7-polytope |
| Schläfli symbol | t0,3{4,35} |
| Coxeter-Dynkin diagrams |     |
| 6-faces | |
| 5-faces | |
| 4-faces | |
| Cells | |
| Faces | |
| Edges | 33600 |
| Vertices | 4480 |
| Vertex figure | |
| Coxeter groups | B7, [4,35] |
| Properties | convex |
Alternate names
- Small prismated hepteract (acronym: spesa) (Jonathan Bowers)[1]
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Biruncinated 7-cube
Alternate names
- Small biprismated hepteract (Acronym sibposa) (Jonathan Bowers)[2]
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Runcitruncated 7-cube
Alternate names
- Prismatotruncated hepteract (acronym: petsa) (Jonathan Bowers)[3]
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Biruncitruncated 7-cube
Alternate names
- Biprismatotruncated hepteract (acronym: biptesa) (Jonathan Bowers)[4]
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Runcicantellated 7-cube
Alternate names
- Prismatorhombated hepteract (acronym: parsa) (Jonathan Bowers)[5]
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Biruncicantellated 7-cube
Alternate names
- Biprismatorhombated hepteract (acronym: bopresa) (Jonathan Bowers)[6]
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Runcicantitruncated 7-cube
Alternate names
- Great prismated hepteract (acronym: gapsa) (Jonathan Bowers)[7]
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Biruncicantitruncated 7-cube
Alternate names
- Great biprismated hepteract (acronym: gibposa) (Jonathan Bowers)[8]
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Notes
References
External links
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