2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70030We outline the most recent theory for the computation of the exponential growth rate of the number of configurations on a multi-dimensional grid. As an application we compute the monomer-dimer constant for the 2-dimensional grid to 8 decimal digits, agreeing with the heuristic computations of Baxter, and for the 3-dimensional grid with an error smaller than 1.35%.35 pages, one pstricks and two eps figures, submittedCombinatoricsMathematical PhysicsChemical Physics82B20, 37M25 (Primary); 28D20, 05A16 (Secondary)text