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Cantitruncated 24-cell honeycomb

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In four-dimensional space, the cantitruncated 24-cell honeycomb is a uniform, space-filling structure. It comes from applying a cantitruncation to the regular 24-cell honeycomb and includes three types of cells: truncated tesseracts, cantitruncated 24-cells, and tetrahedral prisms. Its symmetry is described by the [3,4,3,3] Coxeter group, which generates 31 related uniform tessellations; 28 are unique to this family and 10 are shared with other families such as [4,3,3,4] and [4,3,31,1]. The alternation pattern (13) also appears in other families. This is one of the regular and uniform honeycombs in four-dimensional space.


This page was last edited on 2 February 2026, at 21:28 (CET).