The technology of laser engraving is possible within a transparent glass crystal where it is possible to engrave various prepared computer models. Computer models can be simple so that the engraved model uniform in the crystal. Realistic engraved models are achieved by using different methods of texturing. There are several methods for generating UV projections individually that give good results in computer 3D tools. Preparation, processing and conversion of computer models in the "cloud of dots" is conducted by 3DVision, professional 3D tools, which do not achieve good results for most of the UV projections, regardless of the manner and quality of modeling objects. The study was conducted on several typical groups of models. Test model has been proven that the best results are obtained with planar UV map that is suitable for the symmetric models. In the case of asymmetrical models, details can’t be achieved only through a single planar map. It should set aside a small part of the map to which it adds new information about the details.