2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222404This paper describes a way to subdivide a 3-manifold into angled blocks, namely polyhedral pieces that need not be simply connected. When the individual blocks carry dihedral angles that fit together in a consistent fashion, we prove that a manifold constructed from these blocks must be hyperbolic. The main application is a new proof of a classical, unpublished theorem of Bonahon and Siebenmann: that all arborescent links, except for three simple families of exceptions, have hyperbolic complements.42 pages, 23 figures. Slightly expanded exposition and referencesGeometric Topology57M25, 57M50text