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

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP












5














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



documentclassstandalone
usepackagetikz,tkz-graph,tkz-berge
%usetikzlibrarypositioning,fit,patterns

begindocument
begintikzpicture[rotate=90]
GraphInit[vstyle=Classic]
tikzsetVertexStyle/.append style=minimum size=3pt, inner sep=3pt
Vertices[Math,Lpos=90,unit=2]circlev_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
endtikzpicture
enddocument









share|improve this question


























    5














    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



    documentclassstandalone
    usepackagetikz,tkz-graph,tkz-berge
    %usetikzlibrarypositioning,fit,patterns

    begindocument
    begintikzpicture[rotate=90]
    GraphInit[vstyle=Classic]
    tikzsetVertexStyle/.append style=minimum size=3pt, inner sep=3pt
    Vertices[Math,Lpos=90,unit=2]circlev_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
    endtikzpicture
    enddocument









    share|improve this question
























      5












      5








      5


      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



      documentclassstandalone
      usepackagetikz,tkz-graph,tkz-berge
      %usetikzlibrarypositioning,fit,patterns

      begindocument
      begintikzpicture[rotate=90]
      GraphInit[vstyle=Classic]
      tikzsetVertexStyle/.append style=minimum size=3pt, inner sep=3pt
      Vertices[Math,Lpos=90,unit=2]circlev_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
      endtikzpicture
      enddocument









      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



      documentclassstandalone
      usepackagetikz,tkz-graph,tkz-berge
      %usetikzlibrarypositioning,fit,patterns

      begindocument
      begintikzpicture[rotate=90]
      GraphInit[vstyle=Classic]
      tikzsetVertexStyle/.append style=minimum size=3pt, inner sep=3pt
      Vertices[Math,Lpos=90,unit=2]circlev_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
      endtikzpicture
      enddocument






      tikz-pgf graphs intersections tkz-graph






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      asked Dec 24 '18 at 5:19









      marya

      1,27411023




      1,27411023




















          3 Answers
          3






          active

          oldest

          votes


















          2














          Here is an alternative to JouleV's nice answer in which you do not have to redraw any line, i.e. can keep what you had.



          documentclassstandalone
          usepackagetikz,tkz-graph,tkz-berge
          usetikzlibrarycalc

          begindocument
          begintikzpicture[rotate=90]
          GraphInit[vstyle=Classic]
          tikzsetVertexStyle/.append style=minimum size=3pt, inner sep=3pt
          Vertices[Math,Lpos=90,unit=2]circlev_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
          path (intersection cs:first line=(v_3)--(v_5), second line=(v_1)--(v_4))
          node[circle,fill,label=right:$v_6$] (v_6)
          (intersection cs:first line=(v_3)--(v_5), second line=(v_2)--(v_4))
          node[circle,fill,label=below:$v_7$] (v_7) ;
          endtikzpicture
          enddocument


          enter image description here






          share|improve this answer




























            6














            I would do



            documentclass[tikz]standalone
            usetikzlibraryshapes.geometric, intersections
            begindocument
            begintikzpicture
            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] $v_6$;
            endtikzpicture
            enddocument


            enter image description here






            share|improve this answer




























              4














              documentclass[12pt]standalone
              usepackagepst-poly,pst-eucl
              begindocument
              beginpspicture(-3,-2.5)(3,3)
              pssetunit=2.5cm,PstPicture=false,dotsize=0.1
              PstStarFiveLines
              providecommandPstPolygonNodepsdots(1;INode)
              PstPentagon[PolyName=A]
              pstInterLL[PosAngle=-35]A1A4A2A5v_6
              pstInterLL[PosAngle=-90]A1A4A3A5v_7
              uput[90](A2)$v_1$
              uput[180](A3)$v_2$
              uput[-90](A4)$v_3$
              uput[-90](A5)$v_4$
              uput[0](A1)$v_5$
              endpspicture
              enddocument


              enter image description here






              share|improve this answer




















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                3 Answers
                3






                active

                oldest

                votes








                3 Answers
                3






                active

                oldest

                votes









                active

                oldest

                votes






                active

                oldest

                votes









                2














                Here is an alternative to JouleV's nice answer in which you do not have to redraw any line, i.e. can keep what you had.



                documentclassstandalone
                usepackagetikz,tkz-graph,tkz-berge
                usetikzlibrarycalc

                begindocument
                begintikzpicture[rotate=90]
                GraphInit[vstyle=Classic]
                tikzsetVertexStyle/.append style=minimum size=3pt, inner sep=3pt
                Vertices[Math,Lpos=90,unit=2]circlev_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
                path (intersection cs:first line=(v_3)--(v_5), second line=(v_1)--(v_4))
                node[circle,fill,label=right:$v_6$] (v_6)
                (intersection cs:first line=(v_3)--(v_5), second line=(v_2)--(v_4))
                node[circle,fill,label=below:$v_7$] (v_7) ;
                endtikzpicture
                enddocument


                enter image description here






                share|improve this answer

























                  2














                  Here is an alternative to JouleV's nice answer in which you do not have to redraw any line, i.e. can keep what you had.



                  documentclassstandalone
                  usepackagetikz,tkz-graph,tkz-berge
                  usetikzlibrarycalc

                  begindocument
                  begintikzpicture[rotate=90]
                  GraphInit[vstyle=Classic]
                  tikzsetVertexStyle/.append style=minimum size=3pt, inner sep=3pt
                  Vertices[Math,Lpos=90,unit=2]circlev_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
                  path (intersection cs:first line=(v_3)--(v_5), second line=(v_1)--(v_4))
                  node[circle,fill,label=right:$v_6$] (v_6)
                  (intersection cs:first line=(v_3)--(v_5), second line=(v_2)--(v_4))
                  node[circle,fill,label=below:$v_7$] (v_7) ;
                  endtikzpicture
                  enddocument


                  enter image description here






                  share|improve this answer























                    2












                    2








                    2






                    Here is an alternative to JouleV's nice answer in which you do not have to redraw any line, i.e. can keep what you had.



                    documentclassstandalone
                    usepackagetikz,tkz-graph,tkz-berge
                    usetikzlibrarycalc

                    begindocument
                    begintikzpicture[rotate=90]
                    GraphInit[vstyle=Classic]
                    tikzsetVertexStyle/.append style=minimum size=3pt, inner sep=3pt
                    Vertices[Math,Lpos=90,unit=2]circlev_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
                    path (intersection cs:first line=(v_3)--(v_5), second line=(v_1)--(v_4))
                    node[circle,fill,label=right:$v_6$] (v_6)
                    (intersection cs:first line=(v_3)--(v_5), second line=(v_2)--(v_4))
                    node[circle,fill,label=below:$v_7$] (v_7) ;
                    endtikzpicture
                    enddocument


                    enter image description here






                    share|improve this answer












                    Here is an alternative to JouleV's nice answer in which you do not have to redraw any line, i.e. can keep what you had.



                    documentclassstandalone
                    usepackagetikz,tkz-graph,tkz-berge
                    usetikzlibrarycalc

                    begindocument
                    begintikzpicture[rotate=90]
                    GraphInit[vstyle=Classic]
                    tikzsetVertexStyle/.append style=minimum size=3pt, inner sep=3pt
                    Vertices[Math,Lpos=90,unit=2]circlev_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
                    path (intersection cs:first line=(v_3)--(v_5), second line=(v_1)--(v_4))
                    node[circle,fill,label=right:$v_6$] (v_6)
                    (intersection cs:first line=(v_3)--(v_5), second line=(v_2)--(v_4))
                    node[circle,fill,label=below:$v_7$] (v_7) ;
                    endtikzpicture
                    enddocument


                    enter image description here







                    share|improve this answer












                    share|improve this answer



                    share|improve this answer










                    answered Dec 24 '18 at 14:23









                    marmot

                    88.9k4102191




                    88.9k4102191





















                        6














                        I would do



                        documentclass[tikz]standalone
                        usetikzlibraryshapes.geometric, intersections
                        begindocument
                        begintikzpicture
                        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] $v_6$;
                        endtikzpicture
                        enddocument


                        enter image description here






                        share|improve this answer

























                          6














                          I would do



                          documentclass[tikz]standalone
                          usetikzlibraryshapes.geometric, intersections
                          begindocument
                          begintikzpicture
                          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] $v_6$;
                          endtikzpicture
                          enddocument


                          enter image description here






                          share|improve this answer























                            6












                            6








                            6






                            I would do



                            documentclass[tikz]standalone
                            usetikzlibraryshapes.geometric, intersections
                            begindocument
                            begintikzpicture
                            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] $v_6$;
                            endtikzpicture
                            enddocument


                            enter image description here






                            share|improve this answer












                            I would do



                            documentclass[tikz]standalone
                            usetikzlibraryshapes.geometric, intersections
                            begindocument
                            begintikzpicture
                            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] $v_6$;
                            endtikzpicture
                            enddocument


                            enter image description here







                            share|improve this answer












                            share|improve this answer



                            share|improve this answer










                            answered Dec 24 '18 at 6:35









                            JouleV

                            1,986425




                            1,986425





















                                4














                                documentclass[12pt]standalone
                                usepackagepst-poly,pst-eucl
                                begindocument
                                beginpspicture(-3,-2.5)(3,3)
                                pssetunit=2.5cm,PstPicture=false,dotsize=0.1
                                PstStarFiveLines
                                providecommandPstPolygonNodepsdots(1;INode)
                                PstPentagon[PolyName=A]
                                pstInterLL[PosAngle=-35]A1A4A2A5v_6
                                pstInterLL[PosAngle=-90]A1A4A3A5v_7
                                uput[90](A2)$v_1$
                                uput[180](A3)$v_2$
                                uput[-90](A4)$v_3$
                                uput[-90](A5)$v_4$
                                uput[0](A1)$v_5$
                                endpspicture
                                enddocument


                                enter image description here






                                share|improve this answer

























                                  4














                                  documentclass[12pt]standalone
                                  usepackagepst-poly,pst-eucl
                                  begindocument
                                  beginpspicture(-3,-2.5)(3,3)
                                  pssetunit=2.5cm,PstPicture=false,dotsize=0.1
                                  PstStarFiveLines
                                  providecommandPstPolygonNodepsdots(1;INode)
                                  PstPentagon[PolyName=A]
                                  pstInterLL[PosAngle=-35]A1A4A2A5v_6
                                  pstInterLL[PosAngle=-90]A1A4A3A5v_7
                                  uput[90](A2)$v_1$
                                  uput[180](A3)$v_2$
                                  uput[-90](A4)$v_3$
                                  uput[-90](A5)$v_4$
                                  uput[0](A1)$v_5$
                                  endpspicture
                                  enddocument


                                  enter image description here






                                  share|improve this answer























                                    4












                                    4








                                    4






                                    documentclass[12pt]standalone
                                    usepackagepst-poly,pst-eucl
                                    begindocument
                                    beginpspicture(-3,-2.5)(3,3)
                                    pssetunit=2.5cm,PstPicture=false,dotsize=0.1
                                    PstStarFiveLines
                                    providecommandPstPolygonNodepsdots(1;INode)
                                    PstPentagon[PolyName=A]
                                    pstInterLL[PosAngle=-35]A1A4A2A5v_6
                                    pstInterLL[PosAngle=-90]A1A4A3A5v_7
                                    uput[90](A2)$v_1$
                                    uput[180](A3)$v_2$
                                    uput[-90](A4)$v_3$
                                    uput[-90](A5)$v_4$
                                    uput[0](A1)$v_5$
                                    endpspicture
                                    enddocument


                                    enter image description here






                                    share|improve this answer












                                    documentclass[12pt]standalone
                                    usepackagepst-poly,pst-eucl
                                    begindocument
                                    beginpspicture(-3,-2.5)(3,3)
                                    pssetunit=2.5cm,PstPicture=false,dotsize=0.1
                                    PstStarFiveLines
                                    providecommandPstPolygonNodepsdots(1;INode)
                                    PstPentagon[PolyName=A]
                                    pstInterLL[PosAngle=-35]A1A4A2A5v_6
                                    pstInterLL[PosAngle=-90]A1A4A3A5v_7
                                    uput[90](A2)$v_1$
                                    uput[180](A3)$v_2$
                                    uput[-90](A4)$v_3$
                                    uput[-90](A5)$v_4$
                                    uput[0](A1)$v_5$
                                    endpspicture
                                    enddocument


                                    enter image description here







                                    share|improve this answer












                                    share|improve this answer



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                                    answered Dec 24 '18 at 14:03









                                    chishimotoji

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