Pure Yang-Mills theory (with no matter) in 2+1-dimensions can be thought of as a system of 1+1 integrable field theories coupled together. These theories decouple in an anisotropic limit. This fact makes confinement and the mass gap simple to understand. This is the only analytic approach to this problem which does not rely on strong-coupling assumptions. Exact knowledge of the S-matrix and form factors of these integrable theories can be used to reveal details of the static potential between quarks and the mass spectrum. If a further assumption is made, the isotropic case should also be accessible to this technique.