The model of projective plane
If along a closed curve on the surface local orientation of the tangent space changes sign, then the surface is called a one-sided surface. The simplest one-sided surface is the Mobius strip. Klein bottle, cross-cap, Roman surface and Boy’s surface are also one-sided surfaces. Roman surface, Boy’s surface are models of projective plane. We define two vector functions in the Euclidean space En. Using the obtained functions model for the projective plane are given. We construct in the Euclidean space E3 model for projective plane with a help of mathematical package.