Rotary piston machine, which operates as a pump, compressor or motor, - having a rotor (2, 104) and having a stator (4, 101), wherein the stator (4, 101) is arranged facing the rotor (2, 104), - wherein the rotor (2, 104) has a first face surface with a first toothing, wherein the stator has a second face surface with a second toothing, and wherein the first and the second toothing are each formed from at least one tooth (10, 18) and one tooth space (12, 20), - wherein the stator (4, 101) is arranged so as to be positionally fixed relative to the rotor (2, 104), - wherein the toothings (8, 16) engage with one another such that meshing of the teeth of the first toothing and of the teeth of the second toothing causes first working chambers to be formed, wherein volumes formed by the first working chambers are varied by the meshing of the teeth (10, 18), - wherein the rotor (2, 104) has a first axis of rotation, wherein the stator (4, 101) has a first central axis, wherein the first axis of rotation and the first central axis enclose an angle (φ) that differs from 0°, - wherein the rotor (2, 104) is driven by a drive shaft with a slide plane, wherein the slide plane is perpendicular to the first axis of rotation such that a rotation of the drive shaft leads to a wobbling movement of the rotor (2, 104) relative to the stator (4, 101), and/or a wobbling movement of the rotor (2, 104) leads to a rotation of the drive shaft, characterized in that - the first face surface of the rotor (2, 104) has a third toothing which is spatially separate from the first toothing, and the second face surface of the stator (4, 101) has a fourth toothing which is spatially separate from the second toothing, wherein the third and the fourth toothing are each formed from at least one tooth (30, 36) and one tooth space (32, 38), wherein the third and fourth toothing engage with one another such that meshing of the teeth of the third toothing and of the teeth of the fourth toothing causes at least one second working chamber to be formed, wherein a volume formed by the at least one second working chamber is varied by the meshing of the teeth (30, 36). - having a rotor (2, 104) and having a stator (4, 101), wherein the stator (4, 101) is arranged facing the rotor (2, 104), - wherein the rotor (2, 104) has a first face surface with a first toothing, wherein the stator has a second face surface with a second toothing, and wherein the first and the second toothing are each formed from at least one tooth (10, 18) and one tooth space (12, 20), - wherein the stator (4, 101) is arranged so as to be positionally fixed relative to the rotor (2, 104), - wherein the toothings (8, 16) engage with one another such that meshing of the teeth of the first toothing and of the teeth of the second toothing causes first working chambers to be formed, wherein volumes formed by the first working chambers are varied by the meshing of the teeth (10, 18), - wherein the rotor (2, 104) has a first axis of rotation, wherein the stator (4, 101) has a first central axis, wherein the first axis of rotation and the first central axis enclose an angle (φ) that differs from 0°, - wherein the rotor (2, 104) is driven by a drive shaft with a slide plane, wherein the slide plane is perpendicular to the first axis of rotation such that a rotation of the drive shaft leads to a wobbling movement of the rotor (2, 104) relative to the stator (4, 101), and/or a wobbling movement of the rotor (2, 104) leads to a rotation of the drive shaft, characterized in that - the first face surface of the rotor (2, 104) has a third toothing which is spatially separate from the first toothing, and the second face surface of the stator (4, 101) has a fourth toothing which is spatially separate from the second toothing, wherein the third and the fourth toothing are each formed from at least one tooth (30, 36) and one tooth space (32, 38), wherein the third and fourth toothing engage with one another such that meshing of the teeth of the third toothing and of the teeth of the fourth toothing causes at least one second working chamber to be formed, wherein a volume formed by the at least one second working chamber is varied by the meshing of the teeth (30, 36).