Systems and methods for constructing 3-dimensional (3D) parts are disclosed. A printing system may include a deposition system configured to print a plurality of 2-dimensional (2D) layers onto a plurality of carrier sheets. The printing system also includes a transferring system configured to transfer a 2D layer from a carrier sheet of the plurality of carrier sheets, onto the 3D part. The 3D part may be located on a base substrate. The printing system further includes a feed system configured to provide the plurality of carrier sheets from the deposition system to the transfer system in a successive fashion while maintaining the directionality of printing in the deposition and transferring systems.