Concept
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 of the 7-orthoplex with permutations of truncations, cantellations, runcinations, and . 16 are more simply constructed relative to the 7-cube. These polytopes are a part of a set of 127 uniform 7-polytopes with B7 symmetry. Small hecatonicosoctaexon (acronym: Staz) (Jonathan Bowers) Coordinates are permutations of (0,1,1,1,1,1,2) Teritruncated hecatonicosoctaexon (acronym: Tetaz) (Jonathan Bowers) Coordinates are permutations of (0,1,1,1,1,2,3). Terirhombated hecatonicosoctaexon (acronym: Teroz) (Jonathan Bowers) Coordinates are permutations of (0,1,1,1,2,2,3). Terigreatorhombated hecatonicosoctaexon (acronym: Tograz) (Jonathan Bowers) Coordinates are permutations of (0,1,1,1,2,3,4). Teriprismated hecatonicosoctaexon (acronym: Topaz) (Jonathan Bowers) The coordinates are permutations of (0,1,1,2,2,2,3). Teriprismatotruncated hecatonicosoctaexon (acronym: Toptaz) (Jonathan Bowers) Coordinates are permutations of (0,1,1,2,2,3,4). Teriprismatorhombated hecatonicosoctaexon (acronym: Toparz) (Jonathan Bowers) Coordinates are permutations of (0,1,1,2,3,3,4). Terigreatoprismated hecatonicosoctaexon (acronym: Tegopaz) (Jonathan Bowers) Coordinates are permutations of (0,1,1,2,3,4,5). Tericellated hecatonicosoctaexon (acronym: Tocaz) (Jonathan Bowers) Coordinates are permutations of (0,1,2,2,2,2,3). Tericellitruncated hecatonicosoctaexon (acronym: Tacotaz) (Jonathan Bowers) Coordinates are permutations of (0,1,2,2,2,3,4). Tericellirhombated hecatonicosoctaexon (acronym: Tocarz) (Jonathan Bowers) Coordinates are permutations of (0,1,2,2,3,3,4). Tericelligreatorhombated hecatonicosoctaexon (acronym: Tecagraz) (Jonathan Bowers) Coordinates are permutations of (0,1,2,2,3,4,5). Bipenticantitruncated 7-orthoplex as t1,2,3,6{35,4} Tericelliprismated hecatonicosoctaexon (acronym: Tecpaz) (Jonathan Bowers) Coordinates are permutations of (0,1,2,3,3,3,4).
