▁In ▁C ox eter ▁notation ▁the ▁half ▁symmetry ▁is ▁[ 4 , 4 , ∞ , 1 + ] ▁= ▁[ 4 , (( 4 , ∞ , 4 )) ]. ▁ ▁See ▁also ▁▁ ▁Con vex ▁uniform ▁h oney com bs ▁in ▁hyper bol ic ▁space ▁ ▁List ▁of ▁regular ▁poly top es ▁ ▁References ▁▁ ▁C ox eter , ▁Reg ular ▁Poly top es , ▁ 3 rd . ▁ed ., ▁D over ▁Publications , ▁ 1 9 7 3 . ▁. ▁( Tables ▁I ▁and ▁II : ▁Reg ular ▁poly top es ▁and ▁h oney com bs , ▁pp .   2 9 4 – 2 9 6 ) ▁ ▁The ▁Beaut y ▁of ▁Ge ometry : ▁Tw elve ▁Ess ays ▁( 1 9 9 9 ), ▁D over ▁Publications , ▁, ▁ ▁( Ch apter ▁ 1 0 , ▁Reg ular ▁H oney com bs ▁in ▁Hyper bol ic ▁Space ) ▁Table ▁III ▁ ▁Jeff rey ▁R . ▁We eks ▁The ▁Sh ape ▁of ▁Space , ▁ 2 nd ▁edition ▁ ▁( Ch ap ters ▁ 1 6 – 1 7 : ▁Ge omet ries ▁on ▁Three - man if olds ▁I , II ) ▁ ▁George ▁Max well , ▁S phere ▁Pack ings ▁and ▁Hyper bol ic ▁Ref lection ▁Gr oups , ▁J OUR N AL ▁OF ▁AL GE B RA ▁ 7 9 , 7 8 - 9 7 ▁( 1 9 8 2 ) ▁▁ ▁Ha o ▁Chen , ▁Jean - Ph ili ppe ▁L abb