A reflector (100, 701a, 701b) for a street lamp, comprising: an opening (101, 101 a, 101 b) for an illuminant (3, 705a, 705b); and a reflector surface which extends away from the opening (101, 101a, 101b) in a mean direction of emission (2, 105), without redirecting light of the illuminant (3, 705a, 705b) along the mean direction of emission (2, 105); wherein the reflector surface is subdivided, in the direction of the mean direction of emission (2, 105), into bands (109a to 109g, 111a to 111d) which follow one after the other continuously but not differentiably along band edges (113a to 113c); such that bending edges result between the bands; wherein each band (109a to 109g, 111a to 111 d) comprises a first band edge and a second band edge which bound the band (109a to 109g, 111a to 111 d), wherein the band edges are arranged in band edge planes parallel to one another; wherein each band edge (113a to 113c) comprises at least one portion consisting of curve segments (115a, 115b) joined to one another continuously and differentiably, wherein the portion comprises a first point where a vector of curvature of the portion points inwards, and comprises a second point where the vector of curvature of the portion points outwards; wherein curve segments (115a, 115b) of adjacent band edges (113a to 113c) are associated to one another; wherein the reflector surface comprises a connection line (116a, 116b) each between initial points of two curve segments associated to each other and between endpoints of the two curve segments associated to each other such that the two curve segments associated to each other form the perimeter of a reflector sub-area together with the connection lines (116a, 116b); and wherein the connection lines (116a, 116b) are straight lines. an opening (101, 101 a, 101 b) for an illuminant (3, 705a, 705b); and a reflector surface which extends away from the opening (101, 101a, 101b) in a mean direction of emission (2, 105), without redirecting light of the illuminant (3, 705a, 705b) along the mean direction of emission (2, 105); wherein the reflector surface is subdivided, in the direction of the mean direction of emission (2, 105), into bands (109a to 109g, 111a to 111d) which follow one after the other continuously but not differentiably along band edges (113a to 113c); such that bending edges result between the bands; wherein each band (109a to 109g, 111a to 111 d) comprises a first band edge and a second band edge which bound the band (109a to 109g, 111a to 111 d), wherein the band edges are arranged in band edge planes parallel to one another; wherein each band edge (113a to 113c) comprises at least one portion consisting of curve segments (115a, 115b) joined to one another continuously and differentiably, wherein the portion comprises a first point where a vector of curvature of the portion points inwards, and comprises a second point where the vector of curvature of the portion points outwards; wherein curve segments (115a, 115b) of adjacent band edges (113a to 113c) are associated to one another; wherein the reflector surface comprises a connection line (116a, 116b) each between initial points of two curve segments associated to each other and between endpoints of the two curve segments associated to each other such that the two curve segments associated to each other form the perimeter of a reflector sub-area together with the connection lines (116a, 116b); and wherein the connection lines (116a, 116b) are straight lines.