2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117852Choose $n$ random, independent points in $\R^d$ according to the standard normal distribution. Their convex hull $K_n$ is the {\sl Gaussian random polytope}. We prove that the volume and the number of faces of $K_n$ satisfy the central limit theorem, settling a well known conjecture in the field.to appear in Annals of ProbabilityCombinatoricsProbabilitytext