The invention pertains to methods and apparatuses for rapid production of organized tissue precursors with different sizes and geometry. An embodiment of the invention provides a method of producing 3D tissue structures, the method comprising: producing a plurality of patterned monolayers of cells and sequentially overlaying the plurality of patterned monolayers of cells to produce a stack of monolayers of cells. The patterns of cells in the plurality of monolayers can be designed in a manner which produces a tissue or a portion of a tissue when the plurality of monolayers is overlaid in to a stack. The invention also pertains to an apparatus for producing a 3D tissue module. The apparatus comprises: a three-dimensional positioning system, a contact stamp, a contact stamp storage container, a contact stamp holder, a contact stamp exchange unit, and a contact stamp actuator.
