Supriya Ghosh (Editor)

Cantellated 24 cell honeycomb

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In four-dimensional Euclidean geometry, the cantellated 24-cell honeycomb is a uniform space-filling honeycomb. It can be seen as a cantellation of the regular 24-cell honeycomb, containing rectified tesseract, cantellated 24-cell, and tetrahedral prism cells.

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Alternate names

  • Cantellated icositetrachoric tetracomb/honeycomb
  • Small rhombated demitesseractic tetracom (sricot)
  • Small prismatodisicositetrachoric tetracomb

    • The [3,4,3,3], , Coxeter group generates 31 permutations of uniform tessellations, 28 are unique in this family and ten are shared in the [4,3,3,4] and [4,3,31,1] families. The alternation (13) is also repeated in other families.

    References

    Cantellated 24-cell honeycomb Wikipedia
    (Text) CC BY-SA