Abstract
Removing the dependence on dimension of the inequalities between quermassintegrals resulting from the Aleksandrov-Fenchel inequalities leads to universal quadratic inequalities between intrinsic volumes, and to an inequality for the Wills functional. The inequalities correspond to equations which hold in the polytope algebra.
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McMullen, P. Inequalities between intrinsic volumes. Monatshefte für Mathematik 111, 47–53 (1991). https://doi.org/10.1007/BF01299276
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DOI: https://doi.org/10.1007/BF01299276