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Difference between revisions of "Enneper surface"

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An algebraic [[Minimal surface|minimal surface]] covering a surface of revolution. Its parametric equation is
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An algebraic [[Minimal surface|minimal surface]] covering a [[surface of revolution]]. Its parametric equation is
  
 
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It was discovered by A. Enneper in 1864.
 
It was discovered by A. Enneper in 1864.
 
====Comments====
 
  
 
====References====
 
====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  J.C.C. Nitsche,   "Vorlesungen über Minimalflächen" , Springer (1975)</TD></TR></table>
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* {{Ref|a1}} J.C.C. Nitsche, "Vorlesungen über Minimalflächen", Springer (1975) {{ZBL|0319.53003}}

Latest revision as of 18:19, 28 March 2023


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=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