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Cantellated 7-orthoplexes
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In seven-dimensional geometry, a cantellated 7-orthoplex is a convex uniform 7-polytope, being a cantellation of the regular 7-orthoplex.
There are ten degrees of cantellation for the 7-orthoplex, including truncations. Six are most simply constructible from the dual 7-cube.
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Cantellated 7-orthoplex
| Cantellated 7-orthoplex | |
|---|---|
| Type | uniform 7-polytope |
| Schläfli symbol | rr{3,3,3,3,3,4} |
| Coxeter-Dynkin diagram |     |
| 6-faces | |
| 5-faces | |
| 4-faces | |
| Cells | |
| Faces | |
| Edges | 7560 |
| Vertices | 840 |
| Vertex figure | |
| Coxeter groups | B7, [4,3,3,3,3,3] |
| Properties | convex |
Alternate names
- Small rhombated hecatonicosoctaexon (acronym: sarz) (Jonathan Bowers)[1]
Images
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Bicantellated 7-orthoplex
Alternate names
- Small birhombated hecatonicosoctaexon (acronym: sebraz) (Jonathan Bowers)[2]
Images
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Cantitruncated 7-orthoplex
Alternate names
- Great rhombated hecatonicosoctaexon (acronym: garz) (Jonathan Bowers)[3]
Images
Bicantitruncated 7-orthoplex
Alternate names
- Great birhombated hecatonicosoctaexon (acronym: gebraz) (Jonathan Bowers)[4]
Images
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Related polytopes
These polytopes are from a family of 127 uniform 7-polytopes with B7 symmetry.
See also
Notes
References
External links
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