A convertible top for a vehicle includes a folding top frame. The folding top frame has a transversely extending front bow and a pair of oppositely disposed first and second side rails. The front bow has first and second ends. The folding top frame is movable between a closed position in which the folding top frame is longitudinally extended and a stored position in which the folding top frame is folded. The convertible top further includes first and second rotary joints each having a transversely extending swivel axis. The rotary joints respectively link the ends of the front bow to the side rails such that the front bow swivels about the transversely extending swivel axes of the rotary joints as the folding top frame moves between the closed and stored positions in order to reduce space requirements in the stored position of the folding top frame.