The aim of the present article is to demonstrate by an example how mathematicians use in their work the facilities of Computer Geometry and Visualization. The idea of this article has appeared after the talk the authors gave at the Seminar of Consortium "Geometrical Education in New Information Technologies", one of the Consortium aims is to form contacts between specialists in Computer Graphics and Visualization on the one hand, and mathematicians on the other hand. We use this opportunity to thank all the participants of Seminar for their interest and useful discussion.