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.