2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63383In this paper we define a new class of metric spaces, called multi-model Cantor sets. We compute the Hausdorff dimension and show that the Hausdorff measure of a multi-model Cantor set is finite and non-zero. We then show that a bilipschitz map from one multi-model Cantor set to another has constant Radon-Nikodym derivative on some clopen. We use this to obtain an invariant up to bilipschitz homeomorphism.26 pages, 10 figuresDynamical Systems37D40 (Primary) 28A80 (Secondary)text