2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138981The Minkowski Question Mark function can be characterized as the unique homeomorphism of the real unit interval that conjugates the Farey map with the tent map. We construct an n-dimensional analogue of the Minkowski function as the only homeomorphism of an n-simplex that conjugates the piecewise-fractional map associated to the Monkemeyer continued fraction algorithm with an appropriate tent map.17 pages, 3 figures. Revised version according to the referee's suggestions. Proof of Lemma 2.3 more detailed, other minor modifications. To appear in Monatshefte fur MathematikNumber TheoryDynamical Systems11J70; 37A45text