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.