  We study an analytical solution to the Einstein's equations in
2+1-dimensions, representing the self-similar collapse of a circularly
symmetric, minimally coupled, massless, scalar field. Depending on the value of
certain parameters, this solution represents the formation of naked
singularities. Since our solution is asymptotically flat, these naked
singularities may be relevant for the weak cosmic censorship conjecture in
2+1-dimensions.
