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) (Jonathan Bowers) Coordinates The vertices of the pentiruncinated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,1,2,2,2,3). This construction is based on facets of the pentiruncinated 8-orthoplex. Images Pentiruncitruncated 7-simplex Alternate names Teriprismatotruncated octaexon (acronym: tapto) (Jonathan Bowers) Coordinates The vertices of the pentiruncitruncated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,1,2,2,3,4). This construction is based on facets of the pentiruncitruncated 8-orthoplex. Images Pentiruncicantellated 7-simplex Alternate names Teriprismatorhombated octaexon (acronym: tapro) (Jonathan Bowers) Coordinates The vertices of the pentiruncicantellated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,1,2,3,3,4). This construction is based on facets of the pentiruncicantellated 8-orthoplex. Images Pentiruncicantitruncated 7-simplex Alternate names Terigreatoprismated octaexon (acronym: tegapo) (Jonathan Bowers) Coordinates The vertices of the pentiruncicantitruncated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,1,2,3,4,5). This construction is based on facets of the pentiruncicantitruncated 8-orthoplex. Images Pentistericated 7-simplex Alternate names Tericellated octaexon (acronym: teco) (Jonathan Bowers) Coordinates The vertices of the pentistericated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,0,1,2,2,2,3). This construction is based on facets of the pentistericated 8-orthoplex. Images Pentisteritruncated 7-simplex Alternate names Tericellitruncated octaexon (acronym: tecto) (Jonathan Bowers) Coordinates The vertices of the pentisteritruncated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,2,2,3,4,4). This construction is based on facets of the pentisteritruncated 8-orthoplex. Images Pentistericantellated 7-simplex Alternate names Tericellirhombated octaexon (acronym: tecro) (Jonathan Bowers) Coordinates The vertices of the pentistericantellated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,2,2,3,3,4). This construction is based on facets of the pentistericantellated 8-orthoplex. Images Pentistericantitruncated 7-simplex Alternate names Tericelligreatorhombated octaexon (acronym: tecagro) (Jonathan Bowers) Coordinates The vertices of the pentistericantitruncated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,2,2,3,4,5). This construction is based on facets of