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no line PlotStyles with ParametricPlot3D ?


<< Graphics`Graphics3D`;
xyz = {Cos[t] Cosh[t], t + Tanh[t], Sin[t]Cosh[t]};
ParametricPlot3D[xyz, {t, 0, 2 Pi} ];
xyzT = Table[ xyz, {t, 0, 2 Pi,Pi/30}];
ScatterPlot3D[xyzT, PlotJoined -> True, 
    PlotStyle -> {RGBColor[1, 0, 0], Thickness[.01]} ];
"PlotStyles of 3D space curve not possible except by using  ScatterPlot?"


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