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MathGroup Archive 2012

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Re: Mesh Problem with mathematica 8

  • To: mathgroup at smc.vnet.net
  • Subject: [mg129235] Re: Mesh Problem with mathematica 8
  • From: Roland Franzius <roland.franzius at uos.de>
  • Date: Sun, 23 Dec 2012 13:15:45 -0500 (EST)
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  • References: <kb6s7l$22u$1@smc.vnet.net>

Am 23.12.2012 13:08, schrieb mj at marcjohnson.fr:
> Dear everyone,
>
> I currently have problem with "mathematica 8"
>
> I am trying to produce a clean .STL for rapid prototyping
>
> However "mathematica 8" optimize meshes by uniforming the polygon size along the surfaces,
>
> while I need the meshes to follow exactly the net of the coordinate lines of the parametrization.
>
> Does anyone know how to solve that problem ?

You may specify the mesh coordinate as lists, even variable ones.

This one will draw a sphere with variable mesh in longitude

(Vs 6)

Manipulate[
  ParametricPlot3D[
{Sin[t] Cos[p], Sin[t] Sin[p], Cos[t]}, {t,
    0, \[Pi]}, {p, 0, 2 \[Pi]},
   Mesh -> {Range[0.3  \[Pi],
      0.7 \[Pi], \[Pi]/12], {0, 1, 2, 3, 4, 6} + x},
   PlotStyle -> {Opacity[0.8]},
   Lighting -> {{"Point",
      ColorData["Pastel"][0.7], {2, -12, 12}}}], {x, 0, 12}]

-- 

Roland Franzius




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