Orthogonal projections in B6 Coxeter plane | |||
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6-orthoplex |
Pentellated 6-orthoplex Pentellated 6-cube |
6-cube |
Pentitruncated 6-orthoplex |
Penticantellated 6-orthoplex |
Penticantitruncated 6-orthoplex |
Pentiruncitruncated 6-orthoplex |
Pentiruncicantellated 6-cube |
Pentiruncicantitruncated 6-orthoplex |
Pentisteritruncated 6-cube |
Pentistericantitruncated 6-orthoplex |
Pentisteriruncicantitruncated 6-orthoplex (Omnitruncated 6-cube) |
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 (Same as pentellated 5-cube) 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.