2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126555We present an algorithm that produces the classification list of smooth Fano d-polytopes for any given d. The input of the algorithm is a single number, namely the positive integer d. The algorithm has been used to classify smooth Fano d-polytopes for d<=7. There are 7622 isomorphism classes of smooth Fano 6-polytopes and 72256 isomorphism classes of smooth Fano 7-polytopes.17 pages.Combinatorics52B20An algorithm for the classification of smooth Fano polytopestext