Throughout this paper, we look specifically at the energy landscapes of branched alkanes, which satisfy the criteria outlined above. These energy landscapes are made up of building block functions g 1-x-y-1 which generate our energy landscape V for the whole molecule. Specifically, we can use Theorem 2 for the idealized case, substituting all dihedral types w-x-y-z with 1-x-y-1. Since every building block function g 1-x-y-1 has 6 critical points, the total number of bars for a branched alkane molecule with n bonds is exactly