S=ParametricPlot3D[ {z Cos[t],z Sin[t+z],z},{t,0,2Pi},{z,-1,1},PlotStyle->{Thickness[0.2]},ColorFunction->Hue,PlotPoints->100]
Export["s.stl",S,"STL"]

Import["s.stl"]

ParametricPlot3D[ {(2+Cos[s/2]) Cos[t],(2+Cos[s/2])Sin[2t],Sin[s]},{t,0,2Pi},{s,0,4Pi},ColorFunction->Hue,Boxed->False,Axes->False]

ParametricPlot3D[ {z Cos[t],z Sin[t],t},{t,0,2Pi},{z,-2,2},PlotStyle-> {Thickness[0.2]},PlotPoints->100,Boxed->False,Axes->False,ColorFunction->"TemperatureMap"]