Talk:Enneper surface

Latest comment: 3 years ago by MathPerson in topic Degree 9 polynomial

U/V coordinates

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which u/v interval was used to create these famous surfase? --RokerHRO (talk) 10:11, 6 August 2010 (UTC)Reply

Degree 9 polynomial

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Starting with the equations for the Enneper surface,

 ,

we can eliminate   and   to produce the degree 9 polynomial

 
 
 .

For example, in Wolfram Mathematica or (free, on-line) Wolfram Alpha,

Eliminate[{x == u*(1 - u^2/3 + v^2)/3, y == v*(1 - v^2/3 + u^2)/3, z == (u^2 - v^2)/3}, {u, v}]

produces an equation of the form   where   is the above degree 9 polynomial. MathPerson (talk) 15:37, 21 April 2021 (UTC)Reply