2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71085In this paper, we investigate tropical secant varieties of ordinary linear spaces. These correspond to the log-limit sets of ordinary toric varieties; we show that their interesting parts are combinatorially isomorphic to a certain natural subcomplex of the complex of regular subdivisions of a corresponding point set, and we display the range of behavior of this object. We also use this characterization to reformulate the question of determining Barvinok rank into a question regarding regular subdivisions of products of simplices.11 pagesCombinatorics52B05; 52B99text