# Thickness in ParametricPlot3D

Posted 9 years ago
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 How is the thickness defined in ParametricPlot3D? For 2D plots, the thickness "is given as a fraction of the horizontal plot range," but how does that work in 3D for the following example? Also, it doesn't seem that AbsoluteThickness works.Moebius[R, a, b_] := {(R + a Cos[b/2]) Cos[b], (R + a Cos[b/2]) Sin[b], a Sin[b/2]}MBand = ParametricPlot3D[Moebius[5, a, b], {a, -1, 1}, {b, 0, 2 Pi}, Mesh -> None, PlotPoints -> {20, 100}, MaxRecursion -> 0, PlotRange -> All, PlotStyle -> Directive[{Thickness, Opacity[0.5]}]]
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Posted 9 years ago
 Hi,stackexchange link Moebius[R_, a_, b_] := {(R + a Cos[b/2]) Cos[b], (R + a Cos[b/2]) Sin[b], a Sin[b/2]} MBand = ParametricPlot3D[ Moebius[5, a, b], {a, -1, 1}, {b, 0, 2 Pi}, Mesh -> None, PlotPoints -> {20, 100}, MaxRecursion -> 0, PlotRange -> All, PlotStyle -> {Thickness[.2],Opacity[0.5]} ] I.M.
Posted 9 years ago
 Thanks Ivan. I'd happened on the link you sent as well. My question though is whether the thickness in 3D is defined relative to a plot range or is rather a nondimensional height corresponding to a particular number of units.Regards,Russell