2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65597I consider the Diophantine approximation problem of sup-norm simultaneous rational approximation with common denominator of a pair of irrational numbers, and compute explicitly some pairs with large approximation constant. One of these pairs is the most badly approximable pair yet computed.2 figuresNumber Theory11J13; 11J68; 11J70text