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ParametricPlot3D


Michael Trott notes a problem with ParametricPlot3D.  Here is another.  The
4th argument to ParametricPlot3D can not be a list of graphics directives.
For example
        ParametricPlot3D[{t,t,t,{RGBColor[1,0,0],Thickness[.02]}},
                {t,0,1}]
does not apply either graphics directive to the plot.  A look at the input
form tells why.  The graphics directives are passed as a list to Graphics3D.

The fix is simple.  Simply map Flatten across the output of ParametricPlot3D.
        Show[Map[{Flatten[#,3]}&,
                ParametricPlot3D[{t,t,t,{RGBColor[1,0,0],Thickness[.02]}},
                        {t,0,1},DisplayFunction->Identity]],
                DisplayFunction->$DisplayFunction]

I have reported this problem to WRI.  I hope they fix it soon.

Dennis M. Schneider
Knox College





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