Abstract: A method for autonomously assembling a plurality of tiles is performed in a microgravity environment. Each tile includes a shell having a first geometrical shape and an arrangement of first magnets and a controller that are supported by the shell. The controller controls operation of the arrangement of first magnets to self-assemble the shell with another tile. The first magnets are controlled to mate with a complementary arrangement of second magnets on the other tile when the complementary arrangement of second magnets floats to within a range of magnetic attractive force of the arrangement of first magnets, with or without the aid of propulsion. The controllers in the tiles detect the status of the magnetic bonds to determine whether each pair of tiles is properly bonded or has a magnetic bond error. When an error is detected, the tiles are controlled to disassemble and reassemble to correct the error.