A method for generating representations of anisotropic properties of polycrystalline solid bodies, the method comprising the following steps: - determining a distribution of orientations of at least one anisotropic property, which orientations are described by angles, - generating a computer-internal spherical or polyhedral model, the respective surface of which contains, at least in part, a reproduction of the distribution, - generating the representations of anisotropic properties by projecting at least a part of the distribution reproduced on the surface of the sphere or polyhedron into a plane by using a computer graphics program, characterized in that the computation of the projection is carried out by graphics hardware and the representation of anisotropic properties is generated by - defining a spherical surface in a virtual space in a computer, the spherical surface containing, at least in part, the reproduction of the distribution, - arranging a virtual camera at the centre of the sphere or at a prescribed position on the spherical surface such that the optical axis of the virtual camera extends through the centre of the sphere, and - displaying the representation of anisotropic properties as a projection of the spherical surface onto a virtual projection surface that tangentially contacts the spherical surface, or - defining a polyhedral surface in a virtual space in a computer, the polyhedral surface containing, at least in part, the reproduction of the distribution, - arranging a virtual camera at the centre of the polyhedron, and displaying the representation of anisotropic properties as a projection of the polyhedral surface onto a virtual projection surface, aligned in an orthogonal direction to the optical axis of the virtual camera. - determining a distribution of orientations of at least one anisotropic property, which orientations are described by angles, - generating a computer-internal spherical or polyhedral model, the respective surface of which contains, at least in part, a reproduction of the distribution, - generating the representations of anisotropic properties by projecting at least a part of the distribution reproduced on the surface of the sphere or polyhedron into a plane by using a computer graphics program, characterized in that the computation of the projection is carried out by graphics hardware and the representation of anisotropic properties is generated by - defining a spherical surface in a virtual space in a computer, the spherical surface containing, at least in part, the reproduction of the distribution, - arranging a virtual camera at the centre of the sphere or at a prescribed position on the spherical surface such that the optical axis of the virtual camera extends through the centre of the sphere, and - displaying the representation of anisotropic properties as a projection of the spherical surface onto a virtual projection surface that tangentially contacts the spherical surface, - defining a polyhedral surface in a virtual space in a computer, the polyhedral surface containing, at least in part, the reproduction of the distribution, - arranging a virtual camera at the centre of the polyhedron, and displaying the representation of anisotropic properties as a projection of the polyhedral surface onto a virtual projection surface, aligned in an orthogonal direction to the optical axis of the virtual camera.