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 E-infinity theory and the holographic principles are also discussed.
Christian A. Di Buduo, Pierre Laurent, Carlo Zaninetti, Larissa Lordier, Paolo M. Soprano, Aikaterini Ntai, Serena Barozzi, Alberto Spada, Ida Biunno, Hana Raslová, James B. Bussel, David Kaplan, Carlo L. Balduini, Alessandro Pecci, Alessandra Balduini
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