We show that the class of finite connected graphs with confluent epimorphism is a projective Fraisse class and we investigate the continuum (compact and connected space) obtained as the topological realization of its projective Fraisse limit. This continuum was unknown before. We show that it is indecomposable, but not hereditarily indecomposable, one-dimensional, pointwise self-homeomorphic, but not homogeneous. It is hereditarily unicoherent, in particular, the circle does not embed in it. However, the universal solenoid, the pseudo-arc, and the Cantor fan do embed in the continuum. This is joint work with W. Charatonik and R. Roe.