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 E<sup>n</sup>. Using the obtained functions model for the projective plane are given. We construct in the Euclidean space E<sup>3</sup> model for projective plane with a help of mathematical package.