. ▁ ▁Im ages ▁ ▁B ic ant ell ated ▁ 8 - sim plex ▁ ▁Altern ate ▁names ▁ ▁Small ▁bir h omb ated ▁en ne az et ton ▁( ac ron ym : ▁sab rene ) ▁( J on athan ▁Bow ers ) ▁ ▁Co ordinates ▁ ▁The ▁Cart esian ▁coordinates ▁of ▁the ▁vertices ▁of ▁the ▁b ic ant ell ated ▁ 8 - sim plex ▁can ▁be ▁most ▁simply ▁position ed ▁in ▁ 9 - space ▁as ▁permut ations ▁of ▁( 0 , 0 , 0 , 0 , 0 , 1 , 1 , 2 , 2 ). ▁This ▁construction ▁is ▁based ▁on ▁fac ets ▁of ▁the ▁b ic ant ell ated ▁ 9 - orth ople x . ▁ ▁Im ages ▁ ▁Tr ic ant ell ated ▁ 8 - sim plex ▁ ▁Altern ate ▁names ▁ ▁Small ▁tri rh omb ihe x ade ca ex on ▁( ac ron ym : ▁sat rene ) ▁( J on athan ▁Bow ers ) ▁ ▁Co ordinates ▁ ▁The ▁Cart esian ▁coordinates ▁of ▁the ▁vertices ▁of ▁the ▁tr ic ant ell ated ▁ 8 - sim plex ▁can ▁be ▁most ▁simply ▁position ed ▁in ▁ 9 - space ▁as ▁permut ations ▁of ▁( 0 , 0 , 0 , 0 , 0 , 1 , 1 , 2 , 2 ). ▁This ▁construction ▁is ▁based ▁on ▁fac ets ▁of ▁the ▁tr ic ant ell ated ▁ 9 - orth ople x . ▁ ▁Im ages ▁ ▁Cant it run c