2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126036We generalize the Farey-Brocot partition to a twodimensional continued fraction algorithm and generalized Farey-Brocot nets. We give an asymptotic formula for the moments of order β.27 pages, 2 figures, submitted to Acta ArithmeticaNumber Theory11J70text