# Enneper surface

From Encyclopedia of Mathematics

An algebraic minimal surface covering a surface of revolution. Its parametric equation is

$$ x = \frac{1}{4} ( u ^ {3} - 3 u - 3 u v ^ {2} ) , $$

$$ y = \frac{1}{4} ( 3 v + 3 u ^ {2} v - v ^ {3} ) , $$

$$ z = \frac{3}{4} ( v ^ {2} - u ^ {2} ) . $$

It was discovered by A. Enneper in 1864.

#### References

- [a1] J.C.C. Nitsche, "Vorlesungen über Minimalflächen", Springer (1975) Zbl 0319.53003

**How to Cite This Entry:**

Enneper surface.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Enneper_surface&oldid=53525

This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article