6-cube |
6-orthoplex |
Pentellated 6-cube | |
Pentitruncated 6-cube |
Penticantellated 6-cube |
Penticantitruncated 6-cube | |
Pentiruncitruncated 6-cube |
Pentiruncicantellated 6-cube |
Pentiruncicantitruncated 6-cube | |
Pentisteritruncated 6-cube |
Pentistericantitruncated 6-cube |
Omnitruncated 6-cube | |
Orthogonal projections in B6 Coxeter plane |
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In six-dimensional geometry, a pentellated 6-cube is a convex uniform 6-polytope with 5th order truncations of the regular 6-cube.
There are unique 16 degrees of pentellations of the 6-cube with permutations of truncations, cantellations, runcinations, and sterications. The simple pentellated 6-cube is also called an expanded 6-cube, constructed by an expansion operation applied to the regular 6-cube. The highest form, the pentisteriruncicantitruncated 6-cube, is called an omnitruncated 6-cube with all of the nodes ringed. Six of them are better constructed from the 6-orthoplex given at pentellated 6-orthoplex.