A system for forming one or more dimensionally stable objects (1) by selective solidification section by section of a dimensionally unstable mass (2) comprises a main body (3), in particular a stationary main body; a trough (9) connected or connectable to the main body (3) for holding the mass (2); one or more controllable radiation sources (4) for emitting radiation (5) suitable for solidifying the mass (2), in particular designed as light sources; a main body (6) on which the object (1) to be formed is or can be formed; a holding device (7) for receiving or retaining the main body (6); a housing (8) which surrounds at least the trough (9), and preferably also the radiation source (4); a propulsion device (10) connected or coupled to the main body (3) and to the holding device (7), the propulsion device (10) comprising a drive (11) enabling the holding device (7) to be moved relative to the main body (3) when the drive (11) is actuated.
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