Hyperbolic Paraboloid

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The hyperbolic paraboloid carries two families of straight lines. One may express this as: the surface is a “doubly ruled” surface. This animation starts with an almost flat example and stretches the z-ccordinate. - Note that each tangent plane intersects the surface in the two straight lines through the point of contact.
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A growing piece of the surface emphasizes the two straight line families.
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An anaglyph view of the saddle shaped hyperbolic paraboloid.
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Rotation of the surface around one of its lines, cross-eyed rendering.

Conic Section Surfaces

  1. Ellipsoid
  2. Paraboloid
  3. Hyperbolic Paraboloid
  4. Hyperboloid of One Sheet
  5. Hyperboloid of Two Sheet

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