%0 Journal Article
%A Puente Muñoz, María Jesús De La
%A Ansola Fernández-Enríquez, Maria Macarena
%T A Note on Tropical Triangles in the Plane
%D 2009
%@ 1439-8516
%U https://hdl.handle.net/20.500.14352/41950
%X We define transversal tropical triangles (affine and projective) and characterize them via six inequalities to be satisfied by the coordinates of the vertices. We prove that the vertices of a transversal tropical triangle are tropically independent and they tropically span a classical hexagon whose sides have slopes ∞, 0, 1. Using this classical hexagon, we determine a parameter space for transversal tropical triangles. The coordinates of the vertices of a transversal tropical triangle determine a tropically regular matrix. Triangulations of the tropical plane are obtained.
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