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.

This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at https://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet.

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.

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