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Stericated 7-cubes

In seven-dimensional geometry, a stericated 7-cube is a convex uniform 7-polytope with 4th-order truncations (sterication) of the regular 7-cube.

There are 24 unique sterication for the 7-cube with permutations of truncations, cantellations, and runcinations. 10 are more simply constructed from the 7-orthoplex.

This polytope is one of 127 uniform 7-polytopes with B<sub>7</sub> symmetry.

Stericated 7-cube

Alternate names

  • Small cellated hepteract (acronym: ) (Jonathan Bowers)

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Bistericated 7-cube

Alternate names

  • Small bicellated hepteractihecatonicosoctaexon (acronym: ) (Jonathan Bowers)

Images

Steritruncated 7-cube

Alternate names

  • Cellitruncated hepteract (acronym: ) (Jonathan Bowers)

Images

Bisteritruncated 7-cube

Alternate names

  • Bicellitruncated hepteract (acronym: ) (Jonathan Bowers)

Images

Stericantellated 7-cube

Alternate names

  • Cellirhombated hepteract (acronym: ) (Jonathan Bowers)

Images

Bistericantellated 7-cube

Alternate names

  • Bicellirhombihepteract (acronym: ) (Jonathan Bowers)

Images

Stericantitruncated 7-cube

Alternate names

  • Celligreatorhombated hepteract (acronym: ) (Jonathan Bowers)

Images

Bistericantitruncated 7-cube

Alternate names

  • Bicelligreatorhombated hepteract (acronym: ) (Jonathan Bowers)

Images

Steriruncinated 7-cube

Alternate names

  • Celliprismated hepteract (acronym: ) (Jonathan Bowers)

Images

Steriruncitruncated 7-cube

Alternate names

  • Celliprismatotruncated hepteract (acronym: ) (Jonathan Bowers)

Images

Steriruncicantellated 7-cube

Alternate names

  • Celliprismatorhombated hepteract (acronym: ) (Jonathan Bowers)

Images

Bisteriruncitruncated 7-cube

Alternate names

  • Bicelliprismatotruncated hepteractihecatonicosoctaexon (acronym: ) (Jonathan Bowers)

Images

Steriruncicantitruncated 7-cube

Alternate names

  • Great cellated hepteract (acronym: ) (Jonathan Bowers)

Images

Bisteriruncicantitruncated 7-cube

Alternate names

  • Great bicellated hepteractihecatonicosoctaexon (Acronym ) (Jonathan Bowers)

Images

Notes

References

  • H.S.M. Coxeter:
  • H.S.M. Coxeter, Regular Polytopes, 3rd Edition, Dover New York, 1973
  • Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995, wiley.com,
  • (Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I, [Math. Zeit. 46 (1940) 380–407, MR 2,10]
  • (Paper 23) H.S.M. Coxeter, Regular and Semi-Regular Polytopes II, [Math. Zeit. 188 (1985) 559-591]
  • (Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. Zeit. 200 (1988) 3-45]
  • Norman Johnson Uniform Polytopes, Manuscript (1991)
  • N.W. Johnson: The Theory of Uniform Polytopes and Honeycombs, Ph.D.
  • x3o3o3o3x3o4o - , x3o3x3o3x3o4o - , x3x3o3o3x3o4o - , o3x3x3o3o3x4o - , x3o3x3o3x3o4o - , o3x3o3x3o3x4o - , x3x3x3o3x3o4o - , o3x3x3x3o3x4o - , x3o3o3x3x3o4o - , x3x3x3o3x3o4o - , x3o3x3x3x3o4o - , o3x3x3o3x3x4o - , x3x3x3x3x3o4o - , o3x3x3x3x3x4o -

External links