2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102095In this short note we give a construction of an infinite series of Delone simplices whose relative volume grows super-exponentially with their dimension. This dramatically improves the previous best lower bound, which was linear.7 pages; v2: revised version improves our exponential lower bound to a super-exponential oneCombinatoricsMetric Geometry52B20 (Primary) 52C22, 11H99 (Secondary)text