Creating 3D models of the intersections of two surfaces of revolution

The contribution describes the usage of the software Rhinoceros for creating the 3D models of two intersecting surfaces of revolution. We distinguish three different cases, in which there are couples of surfaces of revolution with one coincident axis, next to it with two non-coincident parallel axes and finally, with two intersecting axes. There exists the possibility to save the created 3D models of two intersecting surfaces of revolution in the *.stl format in the Rhinoceros. The files saved in the *.stl format are used as bases for 3D printing. We use 3D printing as a tool for creating realistic models of such types of spatial situations or constructions that are hard to image for the students of the first year of the Bachelor study at the Faculty of Mechanical Engineering at TUL. In the case of the contact way of teaching, we can lend the printed 3D models during the lectures or seminars to students. Consequently, the manipulative activities can lead to developing the imaginations of the real visibility of the spatial situations or constructions drawn on the paper by the ruler and the compass. We also introduce the possibilities of using 3D printing in the online way of teaching the course titled Constructive Geometry.