On the Gauss curvature of closed surfaces in $E^3$ and $E^4$

New class of closed surfaces of arbitrary genus in $E^3$ called $p$-symmetrons is introduced. Applying these surfaces closed regular surfaces in $E^4$ are constructed. The behaviour of the Gauss curvature of constructed surfaces is studied by computer methods. It is considered the problem of the constructed of closed surfaces of genus $2$ with negative Gauss curvature in $E^4$ which have regular projection in $E^3$.