the wiener index and hyperbolic geometry of fullerene graphs

We observe that fullerene graphs are one-skeletons of polytopeswhich can be realized in a hyperbolic 3-dimensional space with all dihedralangles equal to =2. we are referring volume of such polytope as a hyperbolicvolume of a fullerene. we demonstrate that hyperbolic volumes of fullerenescorrelate with few important topological indices and can serve as a chemicaldescriptor for fullerenes.