Pentellated 7-simplexes
In seven-dimensional geometry, a pentellated 7-simplex is a convex uniform 7-polytope with 5th order truncations (pentellation) of the regular 7-simplex. There are 16 unique pentellations of the 7-simplex with permutations of truncations, cantellations, runcinations, and sterications. Pentellated 7-simplex Alternate names Small terated octaexon (acronym: seto) (Jonathan Bowers) Coordinates The vertices of the pentellated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,1,1,1,1,2). This construction is based on facets of the pentellated 8-orthoplex. Images Pentitruncated 7-simplex Alternate names Teritruncated octaexon (acronym: teto) (Jonathan Bowers) Coordinates The vertices of the pentitruncated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,1,1,1,2,3). This construction is based on facets of the pentitruncated 8-orthoplex. Images Penticantellated 7-simplex Alternate names Terirhombated octaexon (acronym: tero) (Jonathan Bowers) Coordinates The vertices of the penticantellated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,1,1,2,2,3). This construction is based on facets of the penticantellated 8-orthoplex. Images Penticantitruncated 7-simplex Alternate names Terigreatorhombated octaexon (acronym: tegro) (Jonathan Bowers) Coordinates The vertices of the penticantitruncated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,1,1,2,3,4). This construction is based on facets of the penticantitruncated 8-orthoplex. Pentiruncinated 7-simplex Alternate names Teriprismated octaexon (acronym: tepo)