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Stericated 7-orthoplexes

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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.

More information Orthogonal projections in B6 Coxeter plane ...

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
Typeuniform 7-polytope
Schläfli symbolt0,4{35,4}
Coxeter-Dynkin diagrams
6-faces
5-faces
4-faces
Cells
Faces
Edges
Vertices
Vertex figure
Coxeter groupsB7, [4,35]
Propertiesconvex

Alternate names

  • Small cellated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[1]

Images

More information Coxeter plane, B7 / A6 ...
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Steritruncated 7-orthoplex

More information steritruncated 7-orthoplex ...

Alternate names

  • Cellitruncated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[2]

Images

More information Coxeter plane, B7 / A6 ...
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Bisteritruncated 7-orthoplex

More information bisteritruncated 7-orthoplex ...

Alternate names

  • Bicellitruncated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[3]

Images

More information Coxeter plane, B7 / A6 ...

Stericantellated 7-orthoplex

More information Stericantellated 7-orthoplex ...

Alternate names

  • Cellirhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[4]

Images

More information Coxeter plane, B7 / A6 ...
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Stericantitruncated 7-orthoplex

More information stericantitruncated 7-orthoplex ...

Alternate names

  • Celligreatorhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[5]

Images

More information Coxeter plane, B7 / A6 ...
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Bistericantitruncated 7-orthoplex

More information bistericantitruncated 7-orthoplex ...

Alternate names

  • Bicelligreatorhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[6]

Images

More information Coxeter plane, B7 / A6 ...
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Steriruncinated 7-orthoplex

More information Steriruncinated 7-orthoplex ...

Alternate names

  • Celliprismated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[7]

Images

More information Coxeter plane, B7 / A6 ...
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Steriruncitruncated 7-orthoplex

More information steriruncitruncated 7-orthoplex ...

Alternate names

  • Celliprismatotruncated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[8]

Images

More information Coxeter plane, B7 / A6 ...
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Steriruncicantellated 7-orthoplex

More information steriruncicantellated 7-orthoplex ...

Alternate names

  • Celliprismatorhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[9]

Images

More information Coxeter plane, B7 / A6 ...

Steriruncicantitruncated 7-orthoplex

More information steriruncicantitruncated 7-orthoplex ...

Alternate names

  • Great cellated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[10]

Images

More information Coxeter plane, B7 / A6 ...
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Notes

References

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