2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/173077The algebraic foundation of tropical polynomial algebra provides the framework for the geometric construction of the supplement and the reversal of tropical varieties, thereby inducing a duality of reduced tropical varieties; for classes of tropical hypersurfaces the corresponding point symmetry is obtained for their Newton polytopes and lattice polytopes.17 pages, 4 figuresAlgebraic GeometryCommutative Algebra12K10; 13B25; 51M20text