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Cantellated 7-cubes
From Wikipedia, the free encyclopedia
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In seven-dimensional geometry, a cantellated 7-cube is a convex uniform 7-polytope, being a cantellation of the regular 7-cube.
There are 10 degrees of cantellation for the 7-cube, including truncations. 4 are most simply constructible from the dual 7-orthoplex.
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Cantellated 7-cube
| Cantellated 7-cube | |
|---|---|
| Type | uniform 7-polytope |
| Schläfli symbol | rr{4,3,3,3,3,3} |
| Coxeter diagram |     |
| 6-faces | |
| 5-faces | |
| 4-faces | |
| Cells | |
| Faces | |
| Edges | 16128 |
| Vertices | 2688 |
| Vertex figure | |
| Coxeter groups | B7, [4,3,3,3,3,3] |
| Properties | convex |
Alternate names
- Small rhombated hepteract (acronym: sersa) (Jonathan Bowers)[1]
Images
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Bicantellated 7-cube
Alternate names
- Small birhombated hepteract (acronym: sibrosa) (Jonathan Bowers)[2]
Images
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Tricantellated 7-cube
Alternate names
- Small trirhombihepteractihecatonicosoctaexon (acronym: strasaz) (Jonathan Bowers)[3]
Images
Cantitruncated 7-cube
Alternate names
- Great rhombated hepteract (acronym: gersa) (Jonathan Bowers)[4]
Images
It is fifth in a series of cantitruncated hypercubes:
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| Truncated cuboctahedron | Cantitruncated tesseract | Cantitruncated 5-cube | Cantitruncated 6-cube | Cantitruncated 7-cube | Cantitruncated 8-cube |
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Bicantitruncated 7-cube
Alternate names
- Great birhombated hepteract (acronym: gibrosa) (Jonathan Bowers)[5]
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Tricantitruncated 7-cube
Alternate names
- Great trirhombihepteractihecatonicosoctaexon (acronym: gotrasaz) (Jonathan Bowers)[6]
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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