An illumination module for emitting light directed in parallel in a main emission direction (x), the illumination module comprising - a reflector with a focus lying on the front side thereof, - at least one LED light source arranged substantially at the focus of the reflector for radiating light into the reflector, - and a heat sink arranged on the rear side of the reflector, wherein the LED light source is oriented counter to the main emission direction (x), wherein the reflector is configured to direct the light radiated into the reflector by the at least one LED light source in parallel and emit said light in the direction of the main emission direction (x), wherein the at least one LED light source is held by means of at least one connecting web extending from the heat sink to the LED light source, the at least one connecting web being designed to conduct heat from the at least one LED light source into the heat sink, and the at least one connecting web, which preferably consists at least partially of metal, thermally contacts the at least one LED light source and the heat sink, wherein the at least one connecting web additionally comprises means for electrically contacting the at least one LED light source, wherein the front side of the reflector is covered by a transparent protective glass and a housing, wherein the at least one LED light source is enclosed between the reflector, the housing and protective glass, characterized in that the reflector is delimited by side faces oriented parallel to the main emission direction (x) and the protective glass extends as far as the side faces, wherein the side faces additionally define the geometric dimensions of the illumination module normal to the main emission direction (x), wherein the geometric shape of the illumination module is selected in such a way that an arbitrarily extendable form-fitting, area-filling arrangement of illumination modules within a plane is attainable due to a planar arrangement side-by-side and/or above one another of individual illumination modules having the same geometric shape. - a reflector with a focus lying on the front side thereof, - at least one LED light source arranged substantially at the focus of the reflector for radiating light into the reflector, - and a heat sink arranged on the rear side of the reflector, wherein the LED light source is oriented counter to the main emission direction (x), wherein the reflector is configured to direct the light radiated into the reflector by the at least one LED light source in parallel and emit said light in the direction of the main emission direction (x), wherein the at least one LED light source is held by means of at least one connecting web extending from the heat sink to the LED light source, the at least one connecting web being designed to conduct heat from the at least one LED light source into the heat sink, and the at least one connecting web, which preferably consists at least partially of metal, thermally contacts the at least one LED light source and the heat sink, wherein the at least one connecting web additionally comprises means for electrically contacting the at least one LED light source, wherein the front side of the reflector is covered by a transparent protective glass and a housing, wherein the at least one LED light source is enclosed between the reflector, the housing and protective glass, characterized in that the reflector is delimited by side faces oriented parallel to the main emission direction (x) and the protective glass extends as far as the side faces, wherein the side faces additionally define the geometric dimensions of the illumination module normal to the main emission direction (x), wherein the geometric shape of the illumination module is selected in such a way that an arbitrarily extendable form-fitting, area-filling arrangement of illumination modules within a plane is attainable due to a planar arrangement side-by-side and/or above one another of individual illumination modules having the same geometric shape.