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Runcinated 6-orthoplexes

Orthogonal projections in BC6 Coxeter plane

In six-dimensional geometry, a runcinated 6-orthplex is a convex uniform 6-polytope with 3rd order truncations (runcination) of the regular 6-orthoplex.

There are 12 unique runcinations of the 6-orthoplex with permutations of truncations, and cantellations. 7 are expressed relative to the dual 6-cube.

Runcinated 6-orthoplex

Alternate names

  • Small prismatohexacontatetrapeton (spog) (Jonathan Bowers)

Images

Runcicantellated 6-orthoplex

Alternate names

  • Prismatorhombated hexacontatetrapeton (prog) (Jonathan Bowers)

Images

Biruncitruncated 6-orthoplex

Alternate names

  • Biprismatotruncated hexacontatetrapeton (boprax) (Jonathan Bowers)

Images

Runcitruncated 6-orthoplex

Alternate names

  • Prismatotruncated hexacontatetrapeton (potag) (Jonathan Bowers)

Images

Runcicantitruncated 6-orthoplex

Alternate names

  • Great prismated hexacontatetrapeton (gopog) (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.
  • x3o3o3x3o4o - spog, x3o3x3x3o4o - prog, x3x3o3x3o4o - potag, o3x3x3o3x4o - boprax, x3x3x3x3o4o - gopog
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