| Orthogonal projections in B6 Coxeter plane | ||
|---|---|---|
 7-orthoplex    
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 Runcinated 7-orthoplex
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 Biruncinated 7-orthoplex
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 Runcitruncated 7-orthoplex
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 Biruncitruncated 7-orthoplex
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 Runcicantellated 7-orthoplex
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 Biruncicantellated 7-orthoplex
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 Runcicantitruncated 7-orthoplex
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 Biruncicantitruncated 7-orthoplex
|
In seven-dimensional geometry, a runcinated 7-orthoplex is a convex uniform 7-polytope with 3rd order truncations (runcination) of the regular 7-orthoplex.
There are 16 unique runcinations of the 7-orthoplex with permutations of truncations, and cantellations. 8 are more simply constructed from the 7-cube.
These polytopes are among 127 uniform 7-polytopes with B7 symmetry.