We consider simultaneous binary collisions in the general planar four-body
problem. We prove they are regularizable in the sense of continuity with re
spect to initial conditions using a blow-up of the singularity. Furthermore
, numerical evidence is given that the differentiability of the regularizar
ion should be, in general, less than C-8/3. As a Simple example, the double
isosceles four-body problem, displays that kind of behaviour.