Constructing knots with specified geometric limits

It is known that any tame hyperbolic 3-manifold with infinite volume and a single end the geometric limit of sequence finite knot complements. Purcell Souto showed if original manifold embeds in 3-sphere, then such knots can be taken to lie 3-sphere. However, their proof was nonconstructive; no examples were produced. In this paper, we give constructive geometrically case. That is, given finite, one end, build an explicit family whose complements converge it geometrically. Our (topological) double manifold. The construction generalises class fully augmented links Kleinian groups setting.