  Bounded-type 3-manifolds arise as combinatorially bounded gluings of
irreducible 3-manifolds chosen from a finite list. We prove effective
hyperbolization and effective rigidity for a broad class of 3-manifolds of
bounded type and large gluing heights. Specifically, we show the existence and
uniqueness of hyperbolic metrics on 3-manifolds of bounded type and large
heights, and prove existence of a bilipschitz diffeomorphism to a combinatorial
model described explicitly in terms of the list of irreducible manifolds, the
topology of the identification, and the combinatorics of the gluing maps.
