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Let K be an isotropic convex body in R. For every N > n consider the random polytope KN := conv({±x1, . . . ,±xN}), where x1, . . . , xN are independent random points, uniformly distributed in K. We prove that if n 6 N 6 exp( √ n) then the normalized quermaßintegrals

Quermaßintegrals and asymptotic shape of random polytopes in an isotropic convex body