Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In seven-dimensional geometry, a pentellated 7-orthoplex is a convex uniform 7-polytope with 5th order truncations (pentellation) of the regular 7-orthoplex. There are 32 unique pentellations of the 7-orthoplex with permutations of truncations, cantellations, runcinations, and sterications. 16 are more simply constructed relative to the 7-cube. These polytopes are a part of a set of 127 uniform 7-polytopes with BC7 symmetry.