## Catenoid Minimal SurfaceWritten by Paul BourkeDecember 2000 |
x = c cosh(v/c) cos(u) y = c cosh(v/c) sin(u) z = v
0 <= u <= 2pi |

The catenoid is the only minimal surface (zero mean curvature) that is also a surface of revolution. It was first documented by Leonhard Euler around 1740 making it the oldest documented minimal surface.