MarketTruncated 8-orthoplexes
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Truncated 8-orthoplexes

In eight-dimensional geometry, a truncated 8-orthoplex is a convex uniform 8-polytope, being a truncation of the regular 8-orthoplex.

Truncated 8-orthoplex
Alternate names • Truncated octacross (acronym: tek) (Jonthan Bowers) Construction There are two Coxeter groups associated with the truncated 8-orthoplex, one with the C8 or [4,3,3,3,3,3,3] Coxeter group, and a lower symmetry with the D8 or [35,1,1] Coxeter group. Coordinates Cartesian coordinates for the vertices of a truncated 8-orthoplex, centered at the origin, are all 224 vertices are sign (4) and coordinate (56) permutations of : (±2,±1,0,0,0,0,0,0) Images == Bitruncated 8-orthoplex ==
Bitruncated 8-orthoplex
Alternate names • Bitruncated octacross (acronym: batek) (Jonthan Bowers) Coordinates Cartesian coordinates for the vertices of a bitruncated 8-orthoplex, centered at the origin, are all sign and coordinate permutations of : (±2,±2,±1,0,0,0,0,0) Images == Tritruncated 8-orthoplex ==
Tritruncated 8-orthoplex
Alternate names • Tritruncated octacross (acronym: tatek) (Jonthan Bowers) Coordinates Cartesian coordinates for the vertices of a bitruncated 8-orthoplex, centered at the origin, are all sign and coordinate permutations of : (±2,±2,±2,±1,0,0,0,0) Images == Notes ==
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