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The surface of a ball (a sphere) has the same positive Gauss Curvature in every point. It is very interesting that there are also surfaces with the same negative Gauss Curvature in every point. Some are surfaces of revolution, but there are also some other surfaces with this property (at least away from some singular curves). One of the most classical ones is the Kuen surface. Although the abstract mathematical surface is infinitely long and has an infinite number of turns, we decided to show only a small portion with just 1.5 turns. We also have a version with just 1 turn, and several others. Just contact us if you have any related wishes.