2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130615We complete a certain diagram (the operadic butterfly) of categories of algebras involving Com, As, and Lie by constructing a type of algebras which have 4 generating operations and 16 relations. The associated operad is self-dual for Koszul duality.Rings and AlgebrasQuantum Algebra18D50; 17Dxx; 17A32text