A food printer (1), comprises at least one seat (3) for holding a food container (2) and a heating means (14, 15) for heating a food container (held in the seat, wherein the heating means comprises at least one induction coil (14). A food container (2) for inserting into the food printer (1) comprises at least one induction-heatable body (11). A system (1, 2) comprises the food printer (1) and at least one food container, wherein the food container (2) is held in a seat (3) and the at least one induction coil of the food printer (1) is adapted to heat the at least one induction-heatable body (11) of the food container (2) by inductive heating. A method is presented for operating a food printer (1), wherein an alternating electrical current (C) is applied to at least one induction coil (14) of the food printer (1).