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Runcinated 7-orthoplexes
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In seven-dimensional geometry, a runcinated 7-orthoplex is a convex uniform 7-polytope with 3rd order truncations (runcination) of the regular 7-orthoplex.
There are 16 unique runcinations of the 7-orthoplex with permutations of truncations, and cantellations. 8 are more simply constructed from the 7-cube.
These polytopes are among 127 uniform 7-polytopes with B7 symmetry.
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Runcinated 7-orthoplex
| Runcinated 7-orthoplex | |
|---|---|
| Type | uniform 7-polytope |
| Schläfli symbol | t0,3{35,4} |
| Coxeter-Dynkin diagrams |     |
| 6-faces | |
| 5-faces | |
| 4-faces | |
| Cells | |
| Faces | |
| Edges | 23520 |
| Vertices | 2240 |
| Vertex figure | |
| Coxeter groups | B7, [4,35] |
| Properties | convex |
Alternate names
- Small prismated hecatonicosoctaexon (acronym: spaz) (Jonathan Bowers)[1]
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Biruncinated 7-orthoplex
Alternate names
- Small biprismated hecatonicosoctaexon (Acronym sibpaz) (Jonathan Bowers)[2]
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Runcitruncated 7-orthoplex
Alternate names
- Prismatotruncated hecatonicosoctaexon (acronym: potaz) (Jonathan Bowers)[3]
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Biruncitruncated 7-orthoplex
Alternate names
- Biprismatotruncated hecatonicosoctaexon (acronym: baptize) (Jonathan Bowers)[4]
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Runcicantellated 7-orthoplex
Alternate names
- Prismatorhombated hecatonicosoctaexon (acronym: parz) (Jonathan Bowers)[5]
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Biruncicantellated 7-orthoplex
Alternate names
- Biprismatorhombated hecatonicosoctaexon (acronym: boparz) (Jonathan Bowers)[6]
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Runcicantitruncated 7-orthoplex
Alternate names
- Great prismated hecatonicosoctaexon (acronym: gopaz) (Jonathan Bowers)[7]
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Biruncicantitruncated 7-orthoplex
Alternate names
- Great biprismated hecatonicosoctaexon (acronym: gibpaz) (Jonathan Bowers)[8]
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Notes
References
External links
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