2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168095We consider a model decagonal quasicrystal of composition Al$_{80.1}$Co$_{19.9}$ -- closely related to actual structures, and using realistic pair potentials -- on a quasilattice of candidate sites. Its ground state, according to simulations, is a Hexagon-Boat-Star tiling satisfying Penrose's matching rules. In this note, we rationalize these results in terms of the potentials; the Al-Co second-neighbor potential well is crucial.4 pp, 2 figures, for Intl. Conf. Quasicrystals ICQ10, to appear Z. KristMaterials Sciencetext