Ennepers Surface

Graphics by Paul Bourke
June 2001


x = u - u3 / 3 + u v2
y = v - v3 / 3 + v u2
z = u2 - v2
-2 <= u <= 2, -2 <= v <= 2


Named after Alfred Enneper, a German mathematician, who published the surface around 1863.

The Enneper surface is a minimal surface with two straight lines on the surface. It is also "complete", that is, it can be extended forever in all directions.