Optical device for a motor vehicle headlamp for generating a continuously closed light distribution, in particular a daytime running light distribution, a direction indicator light distribution and/or a rear light distribution, which light distribution has a maximum light intensity, the projection device comprising the following: - Light sources which are configured to emit light in the direction of a light emission direction, - collimators which are connected downstream of the light sources in the direction of the light emission direction, a collimator being assigned in each case to a light source and being set up to align the light of the light source assigned to the respective collimator parallel to a main emission direction, - a light guide body, which is connected downstream of the collimators in the direction of the main emission direction, the light guide body having a light inlet side, into which radiated light from the collimators can be coupled, and a light outlet side, which is opposite the light inlet side and from which the light coupled in via the light inlet side emerges, wherein the light guide body is configured to project the light, which is directed in parallel by the collimators and coupled into the light guide body via the light entry side, in front of the optical device in the form of a continuously closed light distribution in the main emission direction, characterized in that the light guide body has a light shaping structure which is formed from a plurality of contiguous facets, the facets being of planar design and each having an inclination with respect to the main emission direction, the surface vector of a facet, as seen in a correctly installed state of the projection device in a motor vehicle, having - includes a horizontal angle of inclination (β H) to the main emission direction and - includes a vertical angle of inclination (β V) to the main emission direction, wherein the inclinations of all facets are distributed in such a way that the horizontal inclination angles (β H) and the vertical inclination angles (β V) are each distributed around an expected value, wherein the expected value corresponds to the maximum luminous intensity of the light distribution, so that light which is coupled into the light guide body via facets which have a horizontal and vertical angle of inclination corresponding to the expected value or is coupled out of the light guide body forms the luminous intensity maximum of the light distribution, and wherein the light shaping structure forms the light entry side and/or the light exit side of the light guide body, wherein the facets are arranged such that the facets are substantially homogeneously distributed on the light entry side and/or light exit side with respect to their respective inclinations. - Light sources which are configured to emit light in the direction of a light emission direction, - collimators which are connected downstream of the light sources in the direction of the light emission direction, a collimator being assigned in each case to a light source and being set up to align the light of the light source assigned to the respective collimator parallel to a main emission direction, - a light guide body, which is connected downstream of the collimators in the direction of the main emission direction, the light guide body having a light inlet side, into which radiated light from the collimators can be coupled, and a light outlet side, which is opposite the light inlet side and from which the light coupled in via the light inlet side emerges, wherein the light guide body is configured to project the light, which is directed in parallel by the collimators and coupled into the light guide body via the light entry side, in front of the optical device in the form of a continuously closed light distribution in the main emission direction, characterized in that the light guide body has a light shaping structure which is formed from a plurality of contiguous facets, the facets being of planar design and each having an inclination with respect to the main emission direction, the surface vector of a facet, as seen in a correctly installed state of the projection device in a motor vehicle, having - includes a horizontal angle of inclination (β H) to the main emission direction and - includes a vertical angle of inclination (β V) to the main emission direction, - includes a horizontal angle of inclination (β H) to the main emission direction and - includes a vertical angle of inclination (β V) to the main emission direction, wherein the inclinations of all facets are distributed in such a way that the horizontal inclination angles (β H) and the vertical inclination angles (β V) are each distributed around an expected value, wherein the expected value corresponds to the maximum luminous intensity of the light distribution, so that light which is coupled into the light guide body via facets which have a horizontal and vertical angle of inclination corresponding to the expected value or is coupled out of the light guide body forms the luminous intensity maximum of the light distribution, and wherein the light shaping structure forms the light entry side and/or the light exit side of the light guide body, wherein the facets are arranged such that the facets are substantially homogeneously distributed on the light entry side and/or light exit side with respect to their respective inclinations.