... 1, 1, 1, 1, 0, 0 , 1, )x3= (1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0 , 1, )x4= (1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0 , 1, )x5= (1, 1, 1, 0, 0, 1, ... (6) The claim is proved.3.7. Proposition. Letx0= (1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0 , 1 )x1= (1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0 , 1, )x2= (1, 1, 1, 1, 1, 1, ... by s = S(x), wherex = (1, 1, 1, 1, 0, 0, 1k1=60, 0, ,0, 1k2 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1k3=180, 0, ,0,, 1k4 ). ( 17) Note that, for i ∈ Oj,wehave#ski...