2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77832We define the injectivity radius of a Coxeter polyhedron in H^3 to be half the shortest translation length among hyperbolic/loxodromic elements in the orientation-preserving reflection group. We show that, for finite-volume polyhedra, this number is always less than 2.6339..., and for compact polyhedra it is always less than 2.1225... .14 pages, 9 figures. Replaced with published versionGeometric TopologyGroup Theory57M50(primary); 20F55, 22E40(secondary)text