Lighting device for a motor vehicle headlamp for generating a light distribution, in particular an adaptive light distribution, e.g. an adaptive low beam and high beam distribution, or a part of such a light distribution, wherein the lighting device comprises a number N of projection modules (10, 20), with N = 2, 3, 4 or greater than 4, each of the projection modules (10, 20) being arranged to generate a segment light distribution (LV10, LV20), wherein a segment light distribution (LV10, LV20) is formed from a plurality of light segments (SEG10, SEG20), and wherein the light segments (SEG10, SEG20) of the segment light distribution (LV10, LV20) lie in two or more substantially horizontal rows (Z101, Z102, Z201, Z202) and in two or more columns (S1001,..., S1005,... S1013, S2001,..., S2005,... S2013), wherein the light segments (SEG10, SEG20) are located such that when all light segments (SEG10, SEG20) of the segment light distribution (LV10, LV20) are activated, substantially no dark or light bands are formed between the rows and the columns, and wherein each light segment (SEG10, SEG20) of the segment light distribution (LV10, LV20; LV10, LV20, LV30) can be activated or deactivated independently of the other segments of the segment light distribution (LV10, LV20; LV10, LV20, LV30), and wherein in each row (Z101, Z102, Z201, Z202) several segments (SEG10, SEG20), called main segments, have identical main segment width, BR, and wherein all projection modules (10, 20) are formed identically from an optical point of view, characterized in that the projection modules (10, 20) are identical, the projection modules (10, 20) being arranged relative to one another in such a way that, starting from a first projection module, the so-called initial projection module, which generates a so-called initial segment light distribution, the segment light distributions (LV20; LV20, LV30) of the further projection modules are laterally shifted in a common horizontal direction, the extent of the shift, VSh, of the n-th segment light distribution (LV20; LV20, LV30) of the n-th projection module in this horizontal direction being equal to a value VSh(n) = m x BR + (n - 1)/N x BR, n = 2,... N, m = 0, 1, or 2, or 3, or greater than 3, and wherein at least one of the nth segment light distributions (LV20; LV10, LV20, LV30), n = 2,..., N, is shifted upwards or downwards in the vertical direction with respect to the output segment light distribution, wherein each of the projection modules (10, 20) producing a shifted segment light distribution is correspondingly rotated by a respective horizontal and vertical angle. a number N of projection modules (10, 20), with N = 2, 3, 4 or greater than 4, each of the projection modules (10, 20) being arranged to generate a segment light distribution (LV10, LV20), wherein a segment light distribution (LV10, LV20) is formed from a plurality of light segments (SEG10, SEG20), and wherein the light segments (SEG10, SEG20) of the segment light distribution (LV10, LV20) lie in two or more substantially horizontal rows (Z101, Z102, Z201, Z202) and in two or more columns (S1001,..., S1005,... S1013, S2001,..., S2005,... S2013), wherein the light segments (SEG10, SEG20) are located such that when all light segments (SEG10, SEG20) of the segment light distribution (LV10, LV20) are activated, substantially no dark or light bands are formed between the rows and the columns, and wherein each light segment (SEG10, SEG20) of the segment light distribution (LV10, LV20; LV10, LV20, LV30) can be activated or deactivated independently of the other segments of the segment light distribution (LV10, LV20; LV10, LV20, LV30), and wherein in each row (Z101, Z102, Z201, Z202) several segments (SEG10, SEG20), called main segments, have identical main segment width, BR, and wherein all projection modules (10, 20) are formed identically from an optical point of view, characterized in that the projection modules (10, 20) are identical, the projection modules (10, 20) being arranged relative to one another in such a way that, starting from a first projection module, the so-called initial projection module, which generates a so-called initial segment light distribution, the segment light distributions (LV20; LV20, LV30) of the further projection modules are laterally shifted in a common horizontal direction, the extent of the shift, VSh, of the n-th segment light distribution (LV20; LV20, LV30) of the n-th projection module in this horizontal direction being equal to a value VSh(n) = m x BR + (n - 1)/N x BR, n = 2,... N, m = 0, 1, or 2, or 3, or greater than 3, and wherein at least one of the nth segment light distributions (LV20; LV10, LV20, LV30), n = 2,..., N, is shifted upwards or downwards in the vertical direction with respect to the output segment light distribution, wherein each of the projection modules (10, 20) producing a shifted segment light distribution is correspondingly rotated by a respective horizontal and vertical angle.