Problem with Graphics`PolygonUtils`PolygonCombine

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up vote
7
down vote

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Writing:



Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, 1] /. 
p : __Polygon :> Graphics`PolygonUtils`PolygonCombine[p]


I get:



enter image description here



but if I write:



Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] /. 
p : __Polygon :> Graphics`PolygonUtils`PolygonCombine[p]


I get:



enter image description here



How can I avoid this problem by having to use this function?




plotting undocumented polygons




share|improve this question


























    up vote
    7
    down vote

    favorite












    Writing:



    Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, 1] /. 
    p : __Polygon :> Graphics`PolygonUtils`PolygonCombine[p]


    I get:



    enter image description here



    but if I write:



    Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] /. 
    p : __Polygon :> Graphics`PolygonUtils`PolygonCombine[p]


    I get:



    enter image description here



    How can I avoid this problem by having to use this function?




    plotting undocumented polygons




    share|improve this question
























      up vote
      7
      down vote

      favorite









      up vote
      7
      down vote

      favorite











      Writing:



      Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, 1] /. 
      p : __Polygon :> Graphics`PolygonUtils`PolygonCombine[p]


      I get:



      enter image description here



      but if I write:



      Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] /. 
      p : __Polygon :> Graphics`PolygonUtils`PolygonCombine[p]


      I get:



      enter image description here



      How can I avoid this problem by having to use this function?




      plotting undocumented polygons




      share|improve this question














      Writing:



      Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, 1] /. 
      p : __Polygon :> Graphics`PolygonUtils`PolygonCombine[p]


      I get:



      enter image description here



      but if I write:



      Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] /. 
      p : __Polygon :> Graphics`PolygonUtils`PolygonCombine[p]


      I get:



      enter image description here



      How can I avoid this problem by having to use this function?





      plotting undocumented polygons





      share|improve this question













      share|improve this question




      share|improve this question








      edited Aug 14 at 8:26









      Alexey Popkov

      37.5k4102254




      37.5k4102254










      asked Aug 14 at 7:51









      TeM

      1,643618




      1,643618




















          2 Answers
          2






          active

          oldest

          votes

















          up vote
          6
          down vote



          accepted










          A small modification of the original code solves the problem:



          Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] /. 
           p : __Polygon .. :> Graphics`PolygonUtils`PolygonCombine[p]



          output




          The new code also works for the initial problem.






          share|improve this answer




















          • Thanks, it works perfectly!
            – TeM
            Aug 14 at 8:44

















          up vote
          4
          down vote













          You can use Graphics`PolygonUtils`PolygonCombine on all polygons rather than on groups of polygons separately:



          pp = ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] ;
          allpolygons = Join @@ Cases[Normal@pp, __Polygon, Infinity];
          Graphics[ EdgeForm[Darker@LightBlue], Opacity[.5, LightBlue], 
           Graphics`PolygonUtils`PolygonCombine[allpolygons], Options[pp]]


          enter image description here






          share|improve this answer
















          • 1




            (+1) Or simpler: Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] /. p : __Polygon .. :> Graphics`PolygonUtils`PolygonCombine[p].
            – Alexey Popkov
            Aug 14 at 8:36










          • @AlexeyPopkov, i could have sworn that I tried that first; somehow it didn't work then:) You might want to post that as an answer.
            – kglr
            Aug 14 at 8:38











          • Simply brilliant, thanks to both! P.S .: is it possible to find a list of the unofficial features of Wolfram Mathematica?
            – TeM
            Aug 14 at 8:43






          • 1




            @TeM, some are collected in What are some useful, undocumented Mathematica functions?
            – kglr
            Aug 14 at 8:57










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          2 Answers
          2






          active

          oldest

          votes








          2 Answers
          2






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes








          up vote
          6
          down vote



          accepted










          A small modification of the original code solves the problem:



          Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] /. 
           p : __Polygon .. :> Graphics`PolygonUtils`PolygonCombine[p]



          output




          The new code also works for the initial problem.






          share|improve this answer




















          • Thanks, it works perfectly!
            – TeM
            Aug 14 at 8:44














          up vote
          6
          down vote



          accepted










          A small modification of the original code solves the problem:



          Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] /. 
           p : __Polygon .. :> Graphics`PolygonUtils`PolygonCombine[p]



          output




          The new code also works for the initial problem.






          share|improve this answer




















          • Thanks, it works perfectly!
            – TeM
            Aug 14 at 8:44












          up vote
          6
          down vote



          accepted







          up vote
          6
          down vote



          accepted






          A small modification of the original code solves the problem:



          Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] /. 
           p : __Polygon .. :> Graphics`PolygonUtils`PolygonCombine[p]



          output




          The new code also works for the initial problem.






          share|improve this answer












          A small modification of the original code solves the problem:



          Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] /. 
           p : __Polygon .. :> Graphics`PolygonUtils`PolygonCombine[p]



          output




          The new code also works for the initial problem.







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered Aug 14 at 8:43









          Alexey Popkov

          37.5k4102254




          37.5k4102254











          • Thanks, it works perfectly!
            – TeM
            Aug 14 at 8:44
















          • Thanks, it works perfectly!
            – TeM
            Aug 14 at 8:44















          Thanks, it works perfectly!
          – TeM
          Aug 14 at 8:44




          Thanks, it works perfectly!
          – TeM
          Aug 14 at 8:44










          up vote
          4
          down vote













          You can use Graphics`PolygonUtils`PolygonCombine on all polygons rather than on groups of polygons separately:



          pp = ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] ;
          allpolygons = Join @@ Cases[Normal@pp, __Polygon, Infinity];
          Graphics[ EdgeForm[Darker@LightBlue], Opacity[.5, LightBlue], 
           Graphics`PolygonUtils`PolygonCombine[allpolygons], Options[pp]]


          enter image description here






          share|improve this answer
















          • 1




            (+1) Or simpler: Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] /. p : __Polygon .. :> Graphics`PolygonUtils`PolygonCombine[p].
            – Alexey Popkov
            Aug 14 at 8:36










          • @AlexeyPopkov, i could have sworn that I tried that first; somehow it didn't work then:) You might want to post that as an answer.
            – kglr
            Aug 14 at 8:38











          • Simply brilliant, thanks to both! P.S .: is it possible to find a list of the unofficial features of Wolfram Mathematica?
            – TeM
            Aug 14 at 8:43






          • 1




            @TeM, some are collected in What are some useful, undocumented Mathematica functions?
            – kglr
            Aug 14 at 8:57














          up vote
          4
          down vote













          You can use Graphics`PolygonUtils`PolygonCombine on all polygons rather than on groups of polygons separately:



          pp = ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] ;
          allpolygons = Join @@ Cases[Normal@pp, __Polygon, Infinity];
          Graphics[ EdgeForm[Darker@LightBlue], Opacity[.5, LightBlue], 
           Graphics`PolygonUtils`PolygonCombine[allpolygons], Options[pp]]


          enter image description here






          share|improve this answer
















          • 1




            (+1) Or simpler: Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] /. p : __Polygon .. :> Graphics`PolygonUtils`PolygonCombine[p].
            – Alexey Popkov
            Aug 14 at 8:36










          • @AlexeyPopkov, i could have sworn that I tried that first; somehow it didn't work then:) You might want to post that as an answer.
            – kglr
            Aug 14 at 8:38











          • Simply brilliant, thanks to both! P.S .: is it possible to find a list of the unofficial features of Wolfram Mathematica?
            – TeM
            Aug 14 at 8:43






          • 1




            @TeM, some are collected in What are some useful, undocumented Mathematica functions?
            – kglr
            Aug 14 at 8:57












          up vote
          4
          down vote










          up vote
          4
          down vote









          You can use Graphics`PolygonUtils`PolygonCombine on all polygons rather than on groups of polygons separately:



          pp = ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] ;
          allpolygons = Join @@ Cases[Normal@pp, __Polygon, Infinity];
          Graphics[ EdgeForm[Darker@LightBlue], Opacity[.5, LightBlue], 
           Graphics`PolygonUtils`PolygonCombine[allpolygons], Options[pp]]


          enter image description here






          share|improve this answer












          You can use Graphics`PolygonUtils`PolygonCombine on all polygons rather than on groups of polygons separately:



          pp = ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] ;
          allpolygons = Join @@ Cases[Normal@pp, __Polygon, Infinity];
          Graphics[ EdgeForm[Darker@LightBlue], Opacity[.5, LightBlue], 
           Graphics`PolygonUtils`PolygonCombine[allpolygons], Options[pp]]


          enter image description here







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered Aug 14 at 8:32









          kglr

          158k8182379




          158k8182379







          • 1




            (+1) Or simpler: Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] /. p : __Polygon .. :> Graphics`PolygonUtils`PolygonCombine[p].
            – Alexey Popkov
            Aug 14 at 8:36










          • @AlexeyPopkov, i could have sworn that I tried that first; somehow it didn't work then:) You might want to post that as an answer.
            – kglr
            Aug 14 at 8:38











          • Simply brilliant, thanks to both! P.S .: is it possible to find a list of the unofficial features of Wolfram Mathematica?
            – TeM
            Aug 14 at 8:43






          • 1




            @TeM, some are collected in What are some useful, undocumented Mathematica functions?
            – kglr
            Aug 14 at 8:57












          • 1




            (+1) Or simpler: Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] /. p : __Polygon .. :> Graphics`PolygonUtils`PolygonCombine[p].
            – Alexey Popkov
            Aug 14 at 8:36










          • @AlexeyPopkov, i could have sworn that I tried that first; somehow it didn't work then:) You might want to post that as an answer.
            – kglr
            Aug 14 at 8:38











          • Simply brilliant, thanks to both! P.S .: is it possible to find a list of the unofficial features of Wolfram Mathematica?
            – TeM
            Aug 14 at 8:43






          • 1




            @TeM, some are collected in What are some useful, undocumented Mathematica functions?
            – kglr
            Aug 14 at 8:57







          1




          1




          (+1) Or simpler: Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] /. p : __Polygon .. :> Graphics`PolygonUtils`PolygonCombine[p].
          – Alexey Popkov
          Aug 14 at 8:36




          (+1) Or simpler: Normal@ParametricPlot[x, x^2 t, x, 0, 2, t, 0, .1] /. p : __Polygon .. :> Graphics`PolygonUtils`PolygonCombine[p].
          – Alexey Popkov
          Aug 14 at 8:36












          @AlexeyPopkov, i could have sworn that I tried that first; somehow it didn't work then:) You might want to post that as an answer.
          – kglr
          Aug 14 at 8:38





          @AlexeyPopkov, i could have sworn that I tried that first; somehow it didn't work then:) You might want to post that as an answer.
          – kglr
          Aug 14 at 8:38













          Simply brilliant, thanks to both! P.S .: is it possible to find a list of the unofficial features of Wolfram Mathematica?
          – TeM
          Aug 14 at 8:43




          Simply brilliant, thanks to both! P.S .: is it possible to find a list of the unofficial features of Wolfram Mathematica?
          – TeM
          Aug 14 at 8:43




          1




          1




          @TeM, some are collected in What are some useful, undocumented Mathematica functions?
          – kglr
          Aug 14 at 8:57




          @TeM, some are collected in What are some useful, undocumented Mathematica functions?
          – kglr
          Aug 14 at 8:57

















           

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