Enneper surface
From Encyclopedia of Mathematics
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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.
Comments
References
| [a1] | J.C.C. Nitsche, "Vorlesungen über Minimalflächen" , Springer (1975) |
How to Cite This Entry:
Enneper surface. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Enneper_surface&oldid=46824
Enneper surface. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Enneper_surface&oldid=46824
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article