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Stericated 7-orthoplexes
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In seven-dimensional geometry, a stericated 7-orthoplex is a convex uniform 7-polytope with 4th order truncations (sterication) of the regular 7-orthoplex.
There are 24 unique sterication for the 7-orthoplex with permutations of truncations, cantellations, and runcinations. 14 are more simply constructed from the 7-cube.
This polytope is one of 127 uniform 7-polytopes with B7 symmetry.
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Stericated 7-orthoplex
Stericated 7-orthoplex | |
---|---|
Type | uniform 7-polytope |
Schläfli symbol | t0,4{35,4} |
Coxeter-Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6-faces | |
5-faces | |
4-faces | |
Cells | |
Faces | |
Edges | |
Vertices | |
Vertex figure | |
Coxeter groups | B7, [4,35] |
Properties | convex |
Alternate names
- Small cellated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[1]
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Steritruncated 7-orthoplex
Alternate names
- Cellitruncated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[2]
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Bisteritruncated 7-orthoplex
Alternate names
- Bicellitruncated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[3]
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Stericantellated 7-orthoplex
Alternate names
- Cellirhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[4]
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Stericantitruncated 7-orthoplex
Alternate names
- Celligreatorhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[5]
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Bistericantitruncated 7-orthoplex
Alternate names
- Bicelligreatorhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[6]
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Steriruncinated 7-orthoplex
Alternate names
- Celliprismated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[7]
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Steriruncitruncated 7-orthoplex
Alternate names
- Celliprismatotruncated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[8]
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Steriruncicantellated 7-orthoplex
Alternate names
- Celliprismatorhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[9]
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Steriruncicantitruncated 7-orthoplex
Alternate names
- Great cellated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[10]
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Notes
References
External links
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