One aspect which differentiates these surfaces is the possibility of generating by straight movement along a curve, or subject to a law of generation. These include the so-called “Hyperbolic paraboloid”, generated to support a line on two other, by keeping it parallel to a given plane called “master plan” surface.
The parabolic hyperbolic is a doubly ruled surface so you can build from straight. By their appearance, is also called saddle surface.(in)
The sections on these surfaces by planes allow us to serve known curves for graphic manipulation or analytical.
What conic curves (la elipse, parable and hyperbole) are for the size of, in dimension three are quadric surfaces. The names of these surfaces are related to the curves appearing as flat sections. In the hyperbolic paraboloid, one of quadric surfaces, these sections are parabolas and hyperbolas.(WikiArquitectura)
To approach your understanding first see this animation in the form of this surface is seen. Then learn to generate and get points and tangent planes, and intersections with other elements.
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