Introduction Introduction Topology has many common features with the cartography. The object of cartography is the surface of the Earth, which locally can be considered as a region on a plane, but is not a plane as a whole. For correct representation one either makes a globe in 3 dimensions or uses atlas of 2-dimensional maps related by simple rules of transition from one map to another.
Topology acts similarly.
It studies manifolds, continuous sets, which locally look like a region of n -dimensional space, but are not region of the space generally. These regions are certainly called the maps and they form the atlas of the manifold. Clear understanding of the structure of many-dimensional manifold is always a challenge to human imagination. Fortunately, methods of computer visualization can help us. In this work we visually present two manifolds from the series of projective spaces, most often appearing in applications.