x = c cosh(v/c) cos(u)
y = c cosh(v/c) sin(u)
z = v
0 <= u <= 2pi
-infinity <= v <= infinity

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.