# One Sheet Hyperboloid

At the outset, the applet below displays a cylinder, i.e., a prism. The edges joining the points on different bases are called *generators*.

Imagine a physical construction in which the generators are hinged at the bases. This allows bases to be rotated relative to each other. The applet simulates such rotations.

What if applet does not run? |

The result of the rotations is the 3D figure known as the one sheet hyperboloid. This same figure could be obtained by rotating a hyperbola around one of its axes of symmetry; just choose the one that does not intersect the hyperbola.