  We consider the point indentation of a pressurized, spherical elastic shell.
Previously it was shown that such shells wrinkle once the indentation reaches a
threshold value. Here, we study the behaviour of this system beyond the onset
of instability. We show that rather than simply approaching the classical
`mirror-buckled' shape, the wrinkled shell approaches a new, universal shape
that reflects a nontrivial type of isometry. For a given indentation depth,
this ``asymptotic isometry", which is only made possible by wrinkling, is
reached in the doubly asymptotic limit of weak pressure and vanishing shell
thickness.
