2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156765We consider families of Böröczky tilings in hyperbolic space in arbitrary dimension, study some basic properties and classify all possible symmetries. In particular, it is shown that these tilings are non-crystallographic, and that there are uncountably many tilings with a fixed prototile.17 pages, 3 Figures, corrected several typos, revised proofsMetric Geometry52C22Properties of Böröczki tilings in high dimensional hyperbolic spacestext