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Why does a perfectly-identical repetition of a drawing command given within an earlier loop 𝘯𝘰𝘵 produce exactly the same line?


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4















Question. Why does the following code produce a line from vertex 0 to vertex 1 which does not perfectly coincide with the analogous line drawn earlier (by way of the foreach-loop)?



  begin{tikzpicture}
foreach n/a/r in {0/0/100,1/72/100,2/144/100,3/216/100,4/288/100}{
node (vn) at (a:r pt) []{};
}
foreach n in {0,1,2,3,4}{
pgfmathsetmacroauxone{Mod(n,5)};
pgfmathsetmacroauxtwo{Mod(add(n,1),5)};
pgfmathsetmacroauxthree{Mod(add(n,2),5)};
draw[opacity=0.5] (vauxtwo)--(vauxone);
draw[opacity=0.5] (vauxthree)--(vauxone);
}
draw[opacity=0.5] (v0)--(v1);
end{tikzpicture}


The offending output is the following:



enter image description here



Remarks.




  • My wish is to have the second line from 0 to 1 coincide perfect with the previously drawn one (and hence create a darker hue, because of the superposition of two opacity-0.5-lines).


  • I fail to see any reason for the non-congruence of the two lines. (If one mentally substitues the variables auxone and auxtwo, then the two drawing-commands in question seem perfectly identical to me, hence can be expected to have exactly the same effect.)



  • I tried to exchange the line



    draw[opacity=0.5] (v0)--(v1);



with the line



    draw[opacity=0.5] (v0.center)--(v1.center);


producing a slighly different, yet still unexplained and undesirable, result, which I permit myself to also reproduce (in the hope that this might help someone understand the problem):



enter image description here










share|improve this question



























    4















    Question. Why does the following code produce a line from vertex 0 to vertex 1 which does not perfectly coincide with the analogous line drawn earlier (by way of the foreach-loop)?



      begin{tikzpicture}
    foreach n/a/r in {0/0/100,1/72/100,2/144/100,3/216/100,4/288/100}{
    node (vn) at (a:r pt) []{};
    }
    foreach n in {0,1,2,3,4}{
    pgfmathsetmacroauxone{Mod(n,5)};
    pgfmathsetmacroauxtwo{Mod(add(n,1),5)};
    pgfmathsetmacroauxthree{Mod(add(n,2),5)};
    draw[opacity=0.5] (vauxtwo)--(vauxone);
    draw[opacity=0.5] (vauxthree)--(vauxone);
    }
    draw[opacity=0.5] (v0)--(v1);
    end{tikzpicture}


    The offending output is the following:



    enter image description here



    Remarks.




    • My wish is to have the second line from 0 to 1 coincide perfect with the previously drawn one (and hence create a darker hue, because of the superposition of two opacity-0.5-lines).


    • I fail to see any reason for the non-congruence of the two lines. (If one mentally substitues the variables auxone and auxtwo, then the two drawing-commands in question seem perfectly identical to me, hence can be expected to have exactly the same effect.)



    • I tried to exchange the line



      draw[opacity=0.5] (v0)--(v1);



    with the line



        draw[opacity=0.5] (v0.center)--(v1.center);


    producing a slighly different, yet still unexplained and undesirable, result, which I permit myself to also reproduce (in the hope that this might help someone understand the problem):



    enter image description here










    share|improve this question

























      4












      4








      4


      1






      Question. Why does the following code produce a line from vertex 0 to vertex 1 which does not perfectly coincide with the analogous line drawn earlier (by way of the foreach-loop)?



        begin{tikzpicture}
      foreach n/a/r in {0/0/100,1/72/100,2/144/100,3/216/100,4/288/100}{
      node (vn) at (a:r pt) []{};
      }
      foreach n in {0,1,2,3,4}{
      pgfmathsetmacroauxone{Mod(n,5)};
      pgfmathsetmacroauxtwo{Mod(add(n,1),5)};
      pgfmathsetmacroauxthree{Mod(add(n,2),5)};
      draw[opacity=0.5] (vauxtwo)--(vauxone);
      draw[opacity=0.5] (vauxthree)--(vauxone);
      }
      draw[opacity=0.5] (v0)--(v1);
      end{tikzpicture}


      The offending output is the following:



      enter image description here



      Remarks.




      • My wish is to have the second line from 0 to 1 coincide perfect with the previously drawn one (and hence create a darker hue, because of the superposition of two opacity-0.5-lines).


      • I fail to see any reason for the non-congruence of the two lines. (If one mentally substitues the variables auxone and auxtwo, then the two drawing-commands in question seem perfectly identical to me, hence can be expected to have exactly the same effect.)



      • I tried to exchange the line



        draw[opacity=0.5] (v0)--(v1);



      with the line



          draw[opacity=0.5] (v0.center)--(v1.center);


      producing a slighly different, yet still unexplained and undesirable, result, which I permit myself to also reproduce (in the hope that this might help someone understand the problem):



      enter image description here










      share|improve this question














      Question. Why does the following code produce a line from vertex 0 to vertex 1 which does not perfectly coincide with the analogous line drawn earlier (by way of the foreach-loop)?



        begin{tikzpicture}
      foreach n/a/r in {0/0/100,1/72/100,2/144/100,3/216/100,4/288/100}{
      node (vn) at (a:r pt) []{};
      }
      foreach n in {0,1,2,3,4}{
      pgfmathsetmacroauxone{Mod(n,5)};
      pgfmathsetmacroauxtwo{Mod(add(n,1),5)};
      pgfmathsetmacroauxthree{Mod(add(n,2),5)};
      draw[opacity=0.5] (vauxtwo)--(vauxone);
      draw[opacity=0.5] (vauxthree)--(vauxone);
      }
      draw[opacity=0.5] (v0)--(v1);
      end{tikzpicture}


      The offending output is the following:



      enter image description here



      Remarks.




      • My wish is to have the second line from 0 to 1 coincide perfect with the previously drawn one (and hence create a darker hue, because of the superposition of two opacity-0.5-lines).


      • I fail to see any reason for the non-congruence of the two lines. (If one mentally substitues the variables auxone and auxtwo, then the two drawing-commands in question seem perfectly identical to me, hence can be expected to have exactly the same effect.)



      • I tried to exchange the line



        draw[opacity=0.5] (v0)--(v1);



      with the line



          draw[opacity=0.5] (v0.center)--(v1.center);


      producing a slighly different, yet still unexplained and undesirable, result, which I permit myself to also reproduce (in the hope that this might help someone understand the problem):



      enter image description here







      tikz-pgf foreach technical-drawing tikz-graphdrawing






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 8 hours ago









      Peter HeinigPeter Heinig

      38318




      38318






















          1 Answer
          1






          active

          oldest

          votes


















          6














          Because you were using pgfmathsetmacro, which adds .0 at the end of the numbers, which get interpreted as anchors (.0 is equivalent to .east in this case). If you use pgfmathtruncatemacro instead the lines match perfectly, as they should.



          documentclass[tikz,border=3.14mm]{standalone}
          begin{document}
          begin{tikzpicture}
          foreach n/a/r in {0/0/100,1/72/100,2/144/100,3/216/100,4/288/100}{
          node (vn) at (a:r pt) []{};
          }
          foreach n in {0,1,2,3,4}{
          pgfmathtruncatemacroauxone{Mod(n,5)};
          pgfmathtruncatemacroauxtwo{Mod(add(n,1),5)};
          pgfmathtruncatemacroauxthree{Mod(add(n,2),5)};
          draw[opacity=0.5] (vauxtwo)--(vauxone);
          draw[opacity=0.5] (vauxthree)--(vauxone);
          }
          draw[opacity=0.5] (v0)--(v1);
          end{tikzpicture}
          end{document}


          enter image description here



          If you want to close the gaps, you may want to use coordinates instead of nodes.



          documentclass[tikz,border=3.14mm]{standalone}
          begin{document}
          begin{tikzpicture}
          foreach n/a/r in {0/0/100,1/72/100,2/144/100,3/216/100,4/288/100}{
          coordinate (vn) at (a:r pt);
          }
          foreach n in {0,1,2,3,4}{
          pgfmathtruncatemacroauxone{Mod(n,5)};
          pgfmathtruncatemacroauxtwo{Mod(add(n,1),5)};
          pgfmathtruncatemacroauxthree{Mod(add(n,2),5)};
          draw[opacity=0.5] (vauxtwo)--(vauxone);
          draw[opacity=0.5] (vauxthree)--(vauxone);
          }
          draw[opacity=0.5] (v0)--(v1);
          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer
























            Your Answer








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            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            6














            Because you were using pgfmathsetmacro, which adds .0 at the end of the numbers, which get interpreted as anchors (.0 is equivalent to .east in this case). If you use pgfmathtruncatemacro instead the lines match perfectly, as they should.



            documentclass[tikz,border=3.14mm]{standalone}
            begin{document}
            begin{tikzpicture}
            foreach n/a/r in {0/0/100,1/72/100,2/144/100,3/216/100,4/288/100}{
            node (vn) at (a:r pt) []{};
            }
            foreach n in {0,1,2,3,4}{
            pgfmathtruncatemacroauxone{Mod(n,5)};
            pgfmathtruncatemacroauxtwo{Mod(add(n,1),5)};
            pgfmathtruncatemacroauxthree{Mod(add(n,2),5)};
            draw[opacity=0.5] (vauxtwo)--(vauxone);
            draw[opacity=0.5] (vauxthree)--(vauxone);
            }
            draw[opacity=0.5] (v0)--(v1);
            end{tikzpicture}
            end{document}


            enter image description here



            If you want to close the gaps, you may want to use coordinates instead of nodes.



            documentclass[tikz,border=3.14mm]{standalone}
            begin{document}
            begin{tikzpicture}
            foreach n/a/r in {0/0/100,1/72/100,2/144/100,3/216/100,4/288/100}{
            coordinate (vn) at (a:r pt);
            }
            foreach n in {0,1,2,3,4}{
            pgfmathtruncatemacroauxone{Mod(n,5)};
            pgfmathtruncatemacroauxtwo{Mod(add(n,1),5)};
            pgfmathtruncatemacroauxthree{Mod(add(n,2),5)};
            draw[opacity=0.5] (vauxtwo)--(vauxone);
            draw[opacity=0.5] (vauxthree)--(vauxone);
            }
            draw[opacity=0.5] (v0)--(v1);
            end{tikzpicture}
            end{document}


            enter image description here






            share|improve this answer




























              6














              Because you were using pgfmathsetmacro, which adds .0 at the end of the numbers, which get interpreted as anchors (.0 is equivalent to .east in this case). If you use pgfmathtruncatemacro instead the lines match perfectly, as they should.



              documentclass[tikz,border=3.14mm]{standalone}
              begin{document}
              begin{tikzpicture}
              foreach n/a/r in {0/0/100,1/72/100,2/144/100,3/216/100,4/288/100}{
              node (vn) at (a:r pt) []{};
              }
              foreach n in {0,1,2,3,4}{
              pgfmathtruncatemacroauxone{Mod(n,5)};
              pgfmathtruncatemacroauxtwo{Mod(add(n,1),5)};
              pgfmathtruncatemacroauxthree{Mod(add(n,2),5)};
              draw[opacity=0.5] (vauxtwo)--(vauxone);
              draw[opacity=0.5] (vauxthree)--(vauxone);
              }
              draw[opacity=0.5] (v0)--(v1);
              end{tikzpicture}
              end{document}


              enter image description here



              If you want to close the gaps, you may want to use coordinates instead of nodes.



              documentclass[tikz,border=3.14mm]{standalone}
              begin{document}
              begin{tikzpicture}
              foreach n/a/r in {0/0/100,1/72/100,2/144/100,3/216/100,4/288/100}{
              coordinate (vn) at (a:r pt);
              }
              foreach n in {0,1,2,3,4}{
              pgfmathtruncatemacroauxone{Mod(n,5)};
              pgfmathtruncatemacroauxtwo{Mod(add(n,1),5)};
              pgfmathtruncatemacroauxthree{Mod(add(n,2),5)};
              draw[opacity=0.5] (vauxtwo)--(vauxone);
              draw[opacity=0.5] (vauxthree)--(vauxone);
              }
              draw[opacity=0.5] (v0)--(v1);
              end{tikzpicture}
              end{document}


              enter image description here






              share|improve this answer


























                6












                6








                6







                Because you were using pgfmathsetmacro, which adds .0 at the end of the numbers, which get interpreted as anchors (.0 is equivalent to .east in this case). If you use pgfmathtruncatemacro instead the lines match perfectly, as they should.



                documentclass[tikz,border=3.14mm]{standalone}
                begin{document}
                begin{tikzpicture}
                foreach n/a/r in {0/0/100,1/72/100,2/144/100,3/216/100,4/288/100}{
                node (vn) at (a:r pt) []{};
                }
                foreach n in {0,1,2,3,4}{
                pgfmathtruncatemacroauxone{Mod(n,5)};
                pgfmathtruncatemacroauxtwo{Mod(add(n,1),5)};
                pgfmathtruncatemacroauxthree{Mod(add(n,2),5)};
                draw[opacity=0.5] (vauxtwo)--(vauxone);
                draw[opacity=0.5] (vauxthree)--(vauxone);
                }
                draw[opacity=0.5] (v0)--(v1);
                end{tikzpicture}
                end{document}


                enter image description here



                If you want to close the gaps, you may want to use coordinates instead of nodes.



                documentclass[tikz,border=3.14mm]{standalone}
                begin{document}
                begin{tikzpicture}
                foreach n/a/r in {0/0/100,1/72/100,2/144/100,3/216/100,4/288/100}{
                coordinate (vn) at (a:r pt);
                }
                foreach n in {0,1,2,3,4}{
                pgfmathtruncatemacroauxone{Mod(n,5)};
                pgfmathtruncatemacroauxtwo{Mod(add(n,1),5)};
                pgfmathtruncatemacroauxthree{Mod(add(n,2),5)};
                draw[opacity=0.5] (vauxtwo)--(vauxone);
                draw[opacity=0.5] (vauxthree)--(vauxone);
                }
                draw[opacity=0.5] (v0)--(v1);
                end{tikzpicture}
                end{document}


                enter image description here






                share|improve this answer













                Because you were using pgfmathsetmacro, which adds .0 at the end of the numbers, which get interpreted as anchors (.0 is equivalent to .east in this case). If you use pgfmathtruncatemacro instead the lines match perfectly, as they should.



                documentclass[tikz,border=3.14mm]{standalone}
                begin{document}
                begin{tikzpicture}
                foreach n/a/r in {0/0/100,1/72/100,2/144/100,3/216/100,4/288/100}{
                node (vn) at (a:r pt) []{};
                }
                foreach n in {0,1,2,3,4}{
                pgfmathtruncatemacroauxone{Mod(n,5)};
                pgfmathtruncatemacroauxtwo{Mod(add(n,1),5)};
                pgfmathtruncatemacroauxthree{Mod(add(n,2),5)};
                draw[opacity=0.5] (vauxtwo)--(vauxone);
                draw[opacity=0.5] (vauxthree)--(vauxone);
                }
                draw[opacity=0.5] (v0)--(v1);
                end{tikzpicture}
                end{document}


                enter image description here



                If you want to close the gaps, you may want to use coordinates instead of nodes.



                documentclass[tikz,border=3.14mm]{standalone}
                begin{document}
                begin{tikzpicture}
                foreach n/a/r in {0/0/100,1/72/100,2/144/100,3/216/100,4/288/100}{
                coordinate (vn) at (a:r pt);
                }
                foreach n in {0,1,2,3,4}{
                pgfmathtruncatemacroauxone{Mod(n,5)};
                pgfmathtruncatemacroauxtwo{Mod(add(n,1),5)};
                pgfmathtruncatemacroauxthree{Mod(add(n,2),5)};
                draw[opacity=0.5] (vauxtwo)--(vauxone);
                draw[opacity=0.5] (vauxthree)--(vauxone);
                }
                draw[opacity=0.5] (v0)--(v1);
                end{tikzpicture}
                end{document}


                enter image description here







                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered 8 hours ago









                marmotmarmot

                130k6164312




                130k6164312






























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