ith oc era <0x0A> </s> ▁In ▁the ▁geometry ▁of ▁hyper bol ic ▁ 3 - space , ▁the ▁order - 4 - 5 ▁square ▁h oney comb ▁is ▁a ▁regular ▁space - fill ing ▁t ess ell ation ▁( or ▁h oney comb ) ▁with ▁Sch lä fli ▁symbol ▁{ 4 , 4 , 5 }. ▁It ▁has ▁five ▁square ▁t iling ▁{ 4 , 4 } ▁around ▁each ▁edge . ▁All ▁vertices ▁are ▁ult ra - ide al ▁( ex isting ▁beyond ▁the ▁ideal ▁boundary ) ▁with ▁infinitely ▁many ▁square ▁t iling ▁existing ▁around ▁each ▁vertex ▁in ▁an ▁order - 5 ▁square ▁t iling ▁vertex ▁arrangement . ▁ ▁Im ages ▁ ▁Rel ated ▁poly top es ▁and ▁h oney com bs ▁▁ ▁It ▁a ▁part ▁of ▁a ▁sequence ▁of ▁regular ▁pol ych ora ▁and ▁h oney com bs ▁with ▁square ▁t iling ▁cells : ▁{ 4 , 4 , p } ▁ ▁Order - 4 - 6 ▁square ▁h oney comb ▁ ▁In ▁the ▁geometry ▁of ▁hyper bol ic ▁ 3 - space , ▁the ▁order - 4 - 6 ▁square ▁h oney comb ▁is ▁a ▁regular ▁space - fill ing ▁t ess ell ation ▁( or ▁h oney comb ) ▁with ▁Sch lä fli ▁symbol ▁{ 4 , 4 , 6 }. ▁It ▁has ▁six ▁square ▁t iling , ▁{ 4 , 4 }, ▁around ▁each ▁edge . ▁All ▁vertices ▁are ▁ult ra - ide al ▁( ex isting ▁beyond ▁the ▁ideal ▁boundary ) ▁with ▁infinitely ▁many ▁square ▁t iling ▁existing