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Runcinated 16 cell honeycomb

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In four-dimensional Euclidean geometry, the runcinated 16-cell honeycomb is a uniform space-filling honeycomb. It can be seen as a runcination of the regular 16-cell honeycomb, containing Rectified 24-cell, runcinated tesseract, cuboctahedral prism, and 3-3 duoprism cells.

Contents

Alternate names

  • Runcinated hexadecachoric tetracomb/honeycomb
  • Small prismated demitesseractic tetracomb (spaht)
  • Small disicositetrachoric 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

    Runcinated 16-cell honeycomb Wikipedia
    (Text) CC BY-SA