Pentellated 6-orthoplexes
In six-dimensional geometry, a pentellated 6-orthoplex is a convex uniform 6-polytope with 5th order truncations of the regular 6-orthoplex.
There are unique 16 degrees of pentellations of the 6-orthoplex with permutations of truncations, cantellations, runcinations, and sterications. Ten are shown, with the other 6 more easily constructed as a pentellated 6-cube. The simple pentellated 6-orthoplex is also called an expanded 6-orthoplex, constructed by an expansion operation applied to the regular 6-orthoplex. The highest form, the pentisteriruncicantitruncated 6-orthoplex, is called an omnitruncated 6-orthoplex with all of the nodes ringed.Pentitruncated 6-orthoplex
- Teritruncated hexacontatetrapeton
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Penticantellated 6-orthoplex
Alternate names
Penticantitruncated 6-orthoplex
Alternate names
- Terigreatorhombated hexacontitetrapeton
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Pentiruncitruncated 6-orthoplex
Alternate names
- Teriprismatotruncated hexacontitetrapeton
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Pentiruncicantitruncated 6-orthoplex
Alternate names
- Terigreatoprismated hexacontitetrapeton
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Pentistericantitruncated 6-orthoplex
Alternate names
- Tericelligreatorhombated hexacontitetrapeton
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These polytopes are from a set of 63 uniform 6-polytopes generated from the B6 Coxeter plane, including the regular 6-cube or 6-orthoplex.
