A system for analyzing a drill core sample, said drill core sample including a planar discontinuity and being provided with a reference line indicating an original rotational position of the drill core in a bore hole, which system comprises a contactless analytical apparatus, a carrier for holding the drill core sample such that the reference line is visible to the contactless analytical apparatus, wherein the contactless analytical apparatus is configured to generate a plurality of curve point clouds, each curve point cloud including distances to a number of points located along a line on an outer surface of the drill core transverse to a longitudinal axis of the drill core, and data about color and/or greyscale of each point, a first data-storing means for storing a 3D representation based on the plurality of curve point clouds, said 3D representation corresponding to a field of view covering nearly 180 degrees of the circumference of the drill core, a processing unit configured to analyze the drill core sample by: - presenting the 3D representation as a picture on a display, said planar discontinuity being visible in the picture, - allowing a user to indicate three points (A, B, C) located along said planar discontinuity, - calculating an acute angle (alpha) between the longitudinal axis and a major axis of an elliptical intersection of the drill core and the planar discontinuity and/or a rotational angle (beta) between the reference line and said major axis, characterized in that the contactless analytical apparatus is a 3D line scanning laser apparatus. a contactless analytical apparatus, a carrier for holding the drill core sample such that the reference line is visible to the contactless analytical apparatus, wherein the contactless analytical apparatus is configured to generate a plurality of curve point clouds, each curve point cloud including distances to a number of points located along a line on an outer surface of the drill core transverse to a longitudinal axis of the drill core, and data about color and/or greyscale of each point, a first data-storing means for storing a 3D representation based on the plurality of curve point clouds, said 3D representation corresponding to a field of view covering nearly 180 degrees of the circumference of the drill core, a processing unit configured to analyze the drill core sample by: - presenting the 3D representation as a picture on a display, said planar discontinuity being visible in the picture, - allowing a user to indicate three points (A, B, C) located along said planar discontinuity, - calculating an acute angle (alpha) between the longitudinal axis and a major axis of an elliptical intersection of the drill core and the planar discontinuity and/or a rotational angle (beta) between the reference line and said major axis, - presenting the 3D representation as a picture on a display, said planar discontinuity being visible in the picture, - allowing a user to indicate three points (A, B, C) located along said planar discontinuity, - calculating an acute angle (alpha) between the longitudinal axis and a major axis of an elliptical intersection of the drill core and the planar discontinuity and/or a rotational angle (beta) between the reference line and said major axis, characterized in that the contactless analytical apparatus is a 3D line scanning laser apparatus.