  Asymmetric thin-shell wormholes from two traversable Morris-Thorne wormhole
spacetimes, with identical shape but different redshift functions, are
constructed. Energy density of the thin-shell wormhole derives its power from a
Morris-Thorne wormhole which is already exotic. By choice, the weak energy
condition for the thin-shell wormhole is satisfied. A linear barotropic
equation of state is assumed to hold after the radial perturbations. The fate
of our thin-shell wormhole, after the perturbation, is striking: the asymmetric
thin-shell wormhole is destined either to collapse to the original
Morris-Thorne wormhole or expand indefinitely along with the radius of the
throat. In case it collapses to the original wormhole, the result is an
asymmetric Morris-Thorne wormhole. Although this asymmetry does not reflect
into the embedding diagram of the wormhole, passing across the throat, the
wormhole adventurer feels a different redshift function.
