How to create a vertex at the intersection of two edges with tkz-graph?












1














I want to draw



enter image description here



But I don't know how to create v_6 which is the intersection of Edge(v_3)(v_5) & Edge(v_1)(v_4) and v_7 is the intersection of Edge(v_3)(v_5) & Edge(v_2)(v_4).
Here the code for the pentagram



documentclass{standalone}
usepackage{tikz,tkz-graph,tkz-berge}
%usetikzlibrary{positioning,fit,patterns}

begin{document}
begin{tikzpicture}[rotate=90]
GraphInit[vstyle=Classic]
tikzset{VertexStyle/.append style={minimum size=3pt, inner sep=3pt}}
Vertices[Math,Lpos=90,unit=2]{circle}{v_1,v_2,v_3,v_4,v_5}
Edges(v_1,v_2,v_3,v_4,v_5,v_1)
Edges(v_1,v_3,v_5,v_2,v_4,v_1)
%WE[Math,Lpos=90,unit=2.75](v_1){v_7} % Brutal
%SOEA[Math,Lpos=0,unit=.5](v_7){v_6}
end{tikzpicture}
end{document}









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    1














    I want to draw



    enter image description here



    But I don't know how to create v_6 which is the intersection of Edge(v_3)(v_5) & Edge(v_1)(v_4) and v_7 is the intersection of Edge(v_3)(v_5) & Edge(v_2)(v_4).
    Here the code for the pentagram



    documentclass{standalone}
    usepackage{tikz,tkz-graph,tkz-berge}
    %usetikzlibrary{positioning,fit,patterns}

    begin{document}
    begin{tikzpicture}[rotate=90]
    GraphInit[vstyle=Classic]
    tikzset{VertexStyle/.append style={minimum size=3pt, inner sep=3pt}}
    Vertices[Math,Lpos=90,unit=2]{circle}{v_1,v_2,v_3,v_4,v_5}
    Edges(v_1,v_2,v_3,v_4,v_5,v_1)
    Edges(v_1,v_3,v_5,v_2,v_4,v_1)
    %WE[Math,Lpos=90,unit=2.75](v_1){v_7} % Brutal
    %SOEA[Math,Lpos=0,unit=.5](v_7){v_6}
    end{tikzpicture}
    end{document}









    share|improve this question

























      1












      1








      1


      0





      I want to draw



      enter image description here



      But I don't know how to create v_6 which is the intersection of Edge(v_3)(v_5) & Edge(v_1)(v_4) and v_7 is the intersection of Edge(v_3)(v_5) & Edge(v_2)(v_4).
      Here the code for the pentagram



      documentclass{standalone}
      usepackage{tikz,tkz-graph,tkz-berge}
      %usetikzlibrary{positioning,fit,patterns}

      begin{document}
      begin{tikzpicture}[rotate=90]
      GraphInit[vstyle=Classic]
      tikzset{VertexStyle/.append style={minimum size=3pt, inner sep=3pt}}
      Vertices[Math,Lpos=90,unit=2]{circle}{v_1,v_2,v_3,v_4,v_5}
      Edges(v_1,v_2,v_3,v_4,v_5,v_1)
      Edges(v_1,v_3,v_5,v_2,v_4,v_1)
      %WE[Math,Lpos=90,unit=2.75](v_1){v_7} % Brutal
      %SOEA[Math,Lpos=0,unit=.5](v_7){v_6}
      end{tikzpicture}
      end{document}









      share|improve this question













      I want to draw



      enter image description here



      But I don't know how to create v_6 which is the intersection of Edge(v_3)(v_5) & Edge(v_1)(v_4) and v_7 is the intersection of Edge(v_3)(v_5) & Edge(v_2)(v_4).
      Here the code for the pentagram



      documentclass{standalone}
      usepackage{tikz,tkz-graph,tkz-berge}
      %usetikzlibrary{positioning,fit,patterns}

      begin{document}
      begin{tikzpicture}[rotate=90]
      GraphInit[vstyle=Classic]
      tikzset{VertexStyle/.append style={minimum size=3pt, inner sep=3pt}}
      Vertices[Math,Lpos=90,unit=2]{circle}{v_1,v_2,v_3,v_4,v_5}
      Edges(v_1,v_2,v_3,v_4,v_5,v_1)
      Edges(v_1,v_3,v_5,v_2,v_4,v_1)
      %WE[Math,Lpos=90,unit=2.75](v_1){v_7} % Brutal
      %SOEA[Math,Lpos=0,unit=.5](v_7){v_6}
      end{tikzpicture}
      end{document}






      tikz-pgf graphs intersections tkz-graph






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      asked 2 hours ago









      marya

      1,22711023




      1,22711023






















          1 Answer
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          2














          I would do



          documentclass[tikz]{standalone}
          usetikzlibrary{shapes.geometric, intersections}
          begin{document}
          begin{tikzpicture}
          node[draw, minimum size = 3cm, regular polygon, regular polygon sides = 5] (a) {};
          foreach x in {1,2,...,5}
          fill (a.corner x) circle [radius=2pt];
          draw (a.corner 1) node[above] {$v_1$};
          draw (a.corner 2) node[left] {$v_2$};
          draw (a.corner 3) node[below] {$v_3$};
          draw (a.corner 4) node[below] {$v_4$};
          draw (a.corner 5) node[right] {$v_5$};
          draw (a.corner 1)--(a.corner 3);
          draw (a.corner 2)--(a.corner 5);
          draw [name path = seg1] (a.corner 2)--(a.corner 4);
          draw [name path = seg2] (a.corner 1)--(a.corner 4);
          draw [name path = comm] (a.corner 3)--(a.corner 5);
          path [name intersections = {of = seg1 and comm, by = inter1}];
          fill (inter1) circle [radius = 2pt];
          draw (inter1) node[below] {$v_7$};
          path [name intersections = {of = seg2 and comm, by = inter2}];
          fill (inter2) circle [radius = 2pt];
          draw (inter2) node[below right] {$v_6$};
          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer





















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            1 Answer
            1






            active

            oldest

            votes








            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            2














            I would do



            documentclass[tikz]{standalone}
            usetikzlibrary{shapes.geometric, intersections}
            begin{document}
            begin{tikzpicture}
            node[draw, minimum size = 3cm, regular polygon, regular polygon sides = 5] (a) {};
            foreach x in {1,2,...,5}
            fill (a.corner x) circle [radius=2pt];
            draw (a.corner 1) node[above] {$v_1$};
            draw (a.corner 2) node[left] {$v_2$};
            draw (a.corner 3) node[below] {$v_3$};
            draw (a.corner 4) node[below] {$v_4$};
            draw (a.corner 5) node[right] {$v_5$};
            draw (a.corner 1)--(a.corner 3);
            draw (a.corner 2)--(a.corner 5);
            draw [name path = seg1] (a.corner 2)--(a.corner 4);
            draw [name path = seg2] (a.corner 1)--(a.corner 4);
            draw [name path = comm] (a.corner 3)--(a.corner 5);
            path [name intersections = {of = seg1 and comm, by = inter1}];
            fill (inter1) circle [radius = 2pt];
            draw (inter1) node[below] {$v_7$};
            path [name intersections = {of = seg2 and comm, by = inter2}];
            fill (inter2) circle [radius = 2pt];
            draw (inter2) node[below right] {$v_6$};
            end{tikzpicture}
            end{document}


            enter image description here






            share|improve this answer


























              2














              I would do



              documentclass[tikz]{standalone}
              usetikzlibrary{shapes.geometric, intersections}
              begin{document}
              begin{tikzpicture}
              node[draw, minimum size = 3cm, regular polygon, regular polygon sides = 5] (a) {};
              foreach x in {1,2,...,5}
              fill (a.corner x) circle [radius=2pt];
              draw (a.corner 1) node[above] {$v_1$};
              draw (a.corner 2) node[left] {$v_2$};
              draw (a.corner 3) node[below] {$v_3$};
              draw (a.corner 4) node[below] {$v_4$};
              draw (a.corner 5) node[right] {$v_5$};
              draw (a.corner 1)--(a.corner 3);
              draw (a.corner 2)--(a.corner 5);
              draw [name path = seg1] (a.corner 2)--(a.corner 4);
              draw [name path = seg2] (a.corner 1)--(a.corner 4);
              draw [name path = comm] (a.corner 3)--(a.corner 5);
              path [name intersections = {of = seg1 and comm, by = inter1}];
              fill (inter1) circle [radius = 2pt];
              draw (inter1) node[below] {$v_7$};
              path [name intersections = {of = seg2 and comm, by = inter2}];
              fill (inter2) circle [radius = 2pt];
              draw (inter2) node[below right] {$v_6$};
              end{tikzpicture}
              end{document}


              enter image description here






              share|improve this answer
























                2












                2








                2






                I would do



                documentclass[tikz]{standalone}
                usetikzlibrary{shapes.geometric, intersections}
                begin{document}
                begin{tikzpicture}
                node[draw, minimum size = 3cm, regular polygon, regular polygon sides = 5] (a) {};
                foreach x in {1,2,...,5}
                fill (a.corner x) circle [radius=2pt];
                draw (a.corner 1) node[above] {$v_1$};
                draw (a.corner 2) node[left] {$v_2$};
                draw (a.corner 3) node[below] {$v_3$};
                draw (a.corner 4) node[below] {$v_4$};
                draw (a.corner 5) node[right] {$v_5$};
                draw (a.corner 1)--(a.corner 3);
                draw (a.corner 2)--(a.corner 5);
                draw [name path = seg1] (a.corner 2)--(a.corner 4);
                draw [name path = seg2] (a.corner 1)--(a.corner 4);
                draw [name path = comm] (a.corner 3)--(a.corner 5);
                path [name intersections = {of = seg1 and comm, by = inter1}];
                fill (inter1) circle [radius = 2pt];
                draw (inter1) node[below] {$v_7$};
                path [name intersections = {of = seg2 and comm, by = inter2}];
                fill (inter2) circle [radius = 2pt];
                draw (inter2) node[below right] {$v_6$};
                end{tikzpicture}
                end{document}


                enter image description here






                share|improve this answer












                I would do



                documentclass[tikz]{standalone}
                usetikzlibrary{shapes.geometric, intersections}
                begin{document}
                begin{tikzpicture}
                node[draw, minimum size = 3cm, regular polygon, regular polygon sides = 5] (a) {};
                foreach x in {1,2,...,5}
                fill (a.corner x) circle [radius=2pt];
                draw (a.corner 1) node[above] {$v_1$};
                draw (a.corner 2) node[left] {$v_2$};
                draw (a.corner 3) node[below] {$v_3$};
                draw (a.corner 4) node[below] {$v_4$};
                draw (a.corner 5) node[right] {$v_5$};
                draw (a.corner 1)--(a.corner 3);
                draw (a.corner 2)--(a.corner 5);
                draw [name path = seg1] (a.corner 2)--(a.corner 4);
                draw [name path = seg2] (a.corner 1)--(a.corner 4);
                draw [name path = comm] (a.corner 3)--(a.corner 5);
                path [name intersections = {of = seg1 and comm, by = inter1}];
                fill (inter1) circle [radius = 2pt];
                draw (inter1) node[below] {$v_7$};
                path [name intersections = {of = seg2 and comm, by = inter2}];
                fill (inter2) circle [radius = 2pt];
                draw (inter2) node[below right] {$v_6$};
                end{tikzpicture}
                end{document}


                enter image description here







                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered 1 hour ago









                JouleV

                1,843425




                1,843425






























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