2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79725We present a general scheme to derive higher-order members of the Painleve VI (PVI) hierarchy of ODE's as well as their difference analogues. The derivation is based on a discrete structure that sits on the background of the PVI equation and that consists of a system of partial difference equations on a multidimensional lattice. The connection with the isomonodromic Garnier systems is discussed.LaTeX2e,18 pages, 3 postscript figures, submitted to Glasgow Mathematical Journal Trust for Island I proceedindsExactly Solvable and Integrable SystemsHigh Energy Physics - TheoryAlgebraic GeometryAnalysis of PDEstext