ՆկարագրումMoebius Surface 1.png	A moebius strip parametrized by the following equations: ${\displaystyle x=\cos u+v\cos {\frac {nu}{2}}\cos u}$ ${\displaystyle y=\sin u+v\cos {\frac {nu}{2}}\sin u}$ ${\displaystyle z=v\sin {\frac {nu}{2}}}$, where n=1. This plot is off-centre for a reason. There are a series of plots depicting n from 0 to 1, and the plots must stay in the same place from frame to frame. See below for a cropped, centred version for use by itself.
Թվական	19 Հունիս 2007
Աղբյուր	Self-made, with Mathematica 5.1   Սա PNG graphic ստեղծված է եղել Mathematica օգնությամբ: .
Հեղինակ	Inductiveload
Իրավունքներ (Նիշքի վերաօգտագործումը)	Public domainPublic domainfalsefalse I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Այլ մեկնակերպներ	Image for use by itself

Mathematical Function Plot
Description	Moebius Strip, 1 half-turn (n=1)
Equation	${\displaystyle x=\cos u+v\cos {\frac {nu}{2}}\cos u}$ ${\displaystyle y=\sin u+v\cos {\frac {nu}{2}}\sin u}$ ${\displaystyle z=v\sin {\frac {nu}{2}}}$
Co-ordinate System	Cartesian (Parametric Plot)
u Range	0 .. 4π
v Range	0 .. 0.3

Mathematica Code

Please be aware that at the time of uploading (15:15, 19 June 2007 (UTC)), this code may take a significant amount of time to execute on a consumer-level computer.

This uses Chris Hill's antialiasing code to average pixels and produce a less jagged image. The original code can be found here.

This code requires the following packages:

<<Graphics`Graphics`

MoebiusStrip[r_:1] =
    Function[
      {u, v, n},
      r {Cos[u] + v Cos[n u/2]Cos[u],
          Sin[u] + v Cos[n u/2]Sin[u],
          v Sin[n u/2],
          {EdgeForm[AbsoluteThickness[4]]}}];

aa[gr_] := Module[{siz, kersiz, ker, dat, as, ave, is, ar},
    is = ImageSize /. Options[gr, ImageSize];
    ar = AspectRatio /. Options[gr, AspectRatio];
    If[! NumberQ[is], is = 288];
    kersiz = 4;
    img = ImportString[ExportString[gr, "PNG", ImageSize -> (
      is kersiz)], "PNG"];
    siz = Reverse@Dimensions[img[[1, 1]]][[{1, 2}]];
    ker = Table[N[1/kersiz^2], {kersiz}, {kersiz}];
    dat = N[img[[1, 1]]];
    as = Dimensions[dat];
    ave = Partition[Transpose[Flatten[ListConvolve[ker, dat[[All, All, #]]]] \
& /@ Range[as[[3]]]], as[[2]] - kersiz + 1];
    ave = Take[ave, Sequence @@ ({1, Dimensions[ave][[#]], 
    kersiz} & /@ Range[Length[Dimensions[ave]] - 1])];
    Show[Graphics[Raster[ave, {{0, 0},
   siz/kersiz}, {0, 255}, ColorFunction -> RGBColor]], PlotRange -> {{0, siz[[
    1]]/kersiz}, {0, siz[[2]]/kersiz}}, ImageSize -> is, AspectRatio -> ar]
    ]

deg = 1;
gr = ParametricPlot3D[Evaluate[MoebiusStrip[][u, v, deg]],
      {u, 0, 4π},
      {v, 0, .3},
      PlotPoints -> {249, 5},
      PlotRange -> {{-1.3, 1.3}, {-1.3, 1.3}, {-0.7, 0.7}},
      Boxed -> False,
      Axes -> False,
      ImageSize -> 800,
      PlotRegion -> {{-0.22, 1.15}, {-0.5, 1.4}},
      DisplayFunction -> Identity
      ];
finalgraphic = aa[gr];

Export["Moebius Surface " <> ToString[deg] <> ".png", finalgraphic]