Wrap > Push Deep removes triangles and tetrahedra (offending “pyramids”) similar to Push Shallow, but propagates further into the model. Applying Push Deep to one of the internal triangles removes all internal structures, and the actual depth of the effect depends on the local point distribution. More specifically, the operation continues to propagate through the model until the point density changes.
For example, if you wrap a point set of a hollow cylinder, internal structures are created that cover the openings at each end of the cylinder and that span the cylinder internally. Because there are no points inside the cylinder, when the triangles covering the ends are deleted, the Push Deep operation propagates through the model until all the internal structures are removed.
To perform Push Deep, select one or more triangles that are part of an offending web structure, and click Wrap > Push Deep.