2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63866We show that graph-theoretic thickness and geometric thickness are not asymptotically equivalent: for every t, there exists a graph with thickness three and geometric thickness >= t.12 pages, 8 figures. This revision incorporates suggestions of the referee and reformats to AMS CONM proceedings styleCombinatoricsComputational GeometryDiscrete Mathematics05C10text