04
Jun
05

Fourth Enneper Surface

Click here to download some POV-Ray code for this image.

Here is some Mathematica code for the Second Enneper Surface:
(* runtime: 0.5 second *)
n = 3; ParametricPlot3D[{r Cos[phi] - r^(2n - 1) Cos[(2n - 1) phi]/(2n - 1), r Sin[phi] + r^(2n - 1) Sin[(2n - 1) phi]/(2n - 1), 2 r^n Cos[n phi]/n, EdgeForm[]}, {phi, 0, 2Pi}, {r, 0, 1.3}, PlotPoints -> {181, 20}, ViewPoint -> {0, 0, 1}, PlotRange -> All]

Link : Enneper Mathematica

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