The article contains a compact summary of cause-effect relationships regarding the structure-properties link in crystals and polycrystals. Neumann’s principle is addressed and visualized in tensor and longitudinal surface treatments. Properties databases and representation algorithms are presented. A software package for 3D printing of physical properties’ surfaces, as a helpful tool for anisotropy visualization, has been created. The required parameters and equipment are disclosed. The article includes examples of experimental data obtained from the MPOD database and several practical illustrations.