%0 Journal Article %T Lipschitz Characterisation of Polytopal Hilbert Geometries %A Constantin Vernicos %J Mathematics %D 2008 %I arXiv %X We prove that the Hilbert Geometry of a convex set is bi-lipschitz equivalent to a normed vector space if and only if the convex is a polytope. %U http://arxiv.org/abs/0812.1032v1