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A surface is a two-dimensional topological manifold. The term can also be used to describe a smooth surface, depending on the context.

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Are there any special relations among the 27 lines on a cubic surface?

If we consider 3 skew lines and the hyperboloid formed by them, any other line on the hyperboloid intersects these three lines. Moreover, the lines orthogonal to the plane containing a point on the hy …