Cantellated 5-orthoplexes
In five dimensions, a cantellated 5-orthoplex is a uniform 5-polytope made by cantellating (beveling) a regular 5-orthoplex. Cantellation adds new cells along the edges and reshapes the figure while keeping it uniform. There are six distinct cantellations of the 5-orthoplex, including an ordinary truncation. Some forms are easier to construct from the dual shape, the 5-cube.
The vertices of a cantellated 5-orthoplex (centered at the origin) can be described in 5D by taking all permutations and sign changes of a small set of base coordinate vectors.
Cantellated 5-orthoplexes are part of a larger family: 31 uniform 5-polytopes derived from the regular 5-cube or 5-orthoplex.
This page was last edited on 2 February 2026, at 21:23 (CET).