A method and apparatus for connecting vessels which have equal or different internal pressures, or which are surrounded by equal or different pressures to permit transport between the connected vessels. An articulating apparatus for connecting vessels which comprises: (a) a first vessel having on one side thereof an orifice; (b) a first rotary bearing and seal associated with the circumference of the orifice; (c) a first hollow wedge shaped segment having first and second sides with a first side thereof rotationally associated with the first rotary bearing and seal; (d) a second rotary bearing and seal associated with the second side of the first hollow wedge-shaped segment; and (e) a second hollow wedge-shaped segment having first and second sides with a first side associated with the second rotary bearing and seal, the second hollow wedge-shaped segment being capable of rotation relative to the first hollow wedge-shaped segment.