2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160980This is a survey of the classical geometry of the Hesse configuration of 12 lines in the projective plane related to inflection points of a plane cubic curve. We also study two K3 surfaces with Picard number 20 which arise naturally in connection with the configuration.22 pages, 1 figure; essential revision to section 7, to appear on L'Enseignement MathématiqueAlgebraic Geometry14H52, 14H10, 14J28text