h1=e2v22gh1=e2v22g
h2=[e4v2]2gh2=[e4v2]2g
Total distance :
h+2h1+2h2+2h3+..........h+2h1+2h2+2h3+..........
v22gv22g+2e2v22g+2e2v22g+2(e4v22g)+2(e4v22g)+2(e6v2)2g+2(e6v2)2g+.............+.............
v22g+e2v22gv22g+e2v22g[1+e2+e4+......][1+e2+e4+......]
v22g+e2v2g[11−e2]v22g+e2v2g[11−e2]
[1−e2+2e2]v22g(1−e2)=[1+e21−e2]v22g[1−e2+2e2]v22g(1−e2)=[1+e21−e2]v22g
=(1+e21−e2)=(1+e21−e2)hh