Twisted downlight reflectors

A reflector for a luminaire, in particular for a luminaire with at least one LED light source, comprising a light inlet end, a light outlet end with at least one substantially rectangular light outlet opening, an optical axis, and a reflector surface which extends between said light inlet end and said light outlet end, where said reflector surface at least in sections in a plane perpendicular to said optical axis defines a polygon,

• wherein said reflector surface is formed such that said polygon between said light inlet end and said light outlet end at least in sections rotates about an axis of rotation which is oriented parallel to said optical axis,
• wherein said reflector is flattened at said light inlet end and said reflector surface at said flattened light inlet end opens to a base area, and
• wherein said light outlet opening and said base area are formed substantially square-shaped, and said polygon is a point-symmetrical octagon with a 4-fold rotational symmetry, where said reflector surface is designed such that it extends parabolically in a plane parallel to said optical axis between said light inlet end and said light outlet end, and said polygon rotates between said base area and said light outlet opening along said entire reflector surface such that the corners of said base area transition to those corners of the octagon which open to the centers of said edges of said light outlet opening, and the centers of said edges of said base area transition to those corners of said octagon which open to the corners of said light outlet opening.