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Truncated 5-orthoplexes

In five-dimensional geometry, a truncated 5-orthoplex is a convex uniform 5-polytope, being a truncation of the regular 5-orthoplex.

Truncated 5-orthoplex
Alternate names • Truncated pentacross • Truncated triacontaditeron (Acronym: tot) (Jonathan Bowers) Coordinates Cartesian coordinates for the vertices of a truncated 5-orthoplex, centered at the origin, are all 80 vertices are sign (4) and coordinate (20) permutations of : (±2,±1,0,0,0) Images The truncated 5-orthoplex is constructed by a truncation operation applied to the 5-orthoplex. All edges are shortened, and two new vertices are added on each original edge. == Bitruncated 5-orthoplex ==
Bitruncated 5-orthoplex
The bitruncated 5-orthoplex can tessellate space in the tritruncated 5-cubic honeycomb. Alternate names • Bitruncated pentacross • Bitruncated triacontaditeron (Acronym: bittit) (Jonathan Bowers) Coordinates Cartesian coordinates for the vertices of a truncated 5-orthoplex, centered at the origin, are all 80 vertices are sign and coordinate permutations of : (±2,±2,±1,0,0) Images The bitruncated 5-orthoplex is constructed by a bitruncation operation applied to the 5-orthoplex. == Related polytopes ==
Related polytopes
The truncated 5-orthoplex and bitruncated 5-orthoplex are from the family of 31 uniform 5-polytopes generated from the regular 5-cube or 5-orthoplex. == Notes ==
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