Twenty-six dimensional polytope and high energy spacetime physics

We give the exact geometrical shape and study the combinatorial properties of higher dimensional polytopes for the dimensions from n = 4 to n = 12 as well n = 26 relevant to Heterotic, M and F superstring theories. Connections to Einfinity theory and the holographic principles are also discussed. (c) 2006 Elsevier Ltd. All rights reserved.