The paper present novel digital fabrication process that assembles building blocks to create a three-dimensional object. The system consists of an assembly robot and a fabrication head installed at its tip. The head, consists of a vacuum gripper, an adhesive extruder, and a camera, and is thus capable of gripping and releasing a building block, applying an adhesive, and determination of the position of things in the process. The calibration process and the design and build workflow for this technique are mentioned in the paper. The process is a discrete fixtureless manufacturing process that gives faster speed, compared to both additive and subtractive manufacturing processes. Tiny mosaic pieces are used as building blocks and fabrication of a curved bridge model is used to demonstrate how this process works and its performance.