  We construct the first smooth bubbling geometries using the Weyl formalism.
The solutions are obtained from Einstein theory coupled to a two-form gauge
field in six dimensions with two compact directions. We classify the charged
Weyl solutions in this framework. Smooth solutions consist of a chain of
Kaluza-Klein bubbles that can be neutral or wrapped by electromagnetic fluxes,
and are free of curvature and conical singularities. We discuss how such
topological structures are prevented from gravitational collapse without
struts. When embedded in type IIB, the class of solutions describes D1-D5-KKm
solutions in the non-BPS regime, and the smooth bubbling solutions have the
same conserved charges as a static four-dimensional non-extremal Cvetic-Youm
black hole.
