Typsetting diagram chases (with TikZ?)












1















Background. I recently came across a Youtube video with a bunch of really nicely typeset 'diagram chases' that seem to have been made in TeX (perhaps TikZ?):



Exmples of a diagram chase



I'd like to create something similar for a presentation that I'm working on, but I feel a bit lost when it comes to figuring out a systematic/scalable way to this.



Own attempt. For small diagrams, it's possible to do this in a very ad hoc way, by just playing around with coordinates and the bend right and bend left attributes in TikZ. A quick example of what this might look like:



documentclass{article}

usepackage{tikz}
usetikzlibrary{arrows.meta}

begin{document}

begin{tikzpicture}[scale=1.5, bend left=15, bend right=15]

node (B) at (0,0) {$B$};
node (B') at (0,-1) {$B'$};
node (C) at (1,0) {$C$};
node (C') at (1,-1) {$C'$};

draw[->,gray] (B) -- (B');
draw[->,gray,shorten >= -1pt] (B') -- (C');
draw[->,gray,shorten >= -1pt] (B) -- (C);
draw[->,gray] (C) -- (C');

node (b) at (-0.3,0.2) {footnotesize $b$};
node (bprime) at (-0.3,-1.2) {footnotesize $b'$};
node (cbar) at (0.7,0.2) {footnotesize $bar{c}$};
node (cdiff) at (0.7,-1.3) {footnotesize $c'-c''$};

path (b) edge [{|[scale=0.7]}-{>[scale=0.7]},bend left] node [left] {} (cbar);
path (b) edge [{|[scale=0.7]}-{>[scale=0.7]},bend right] node [left] {} (bprime);
path (bprime) edge [{|[scale=0.7]}-{>[scale=0.7]},bend right] node [left] {} (cdiff);
path (cbar) edge [{|[scale=0.7]}-{>[scale=0.7]},bend right, shorten >= -2pt, shorten <= -1pt] node [left] {} (cdiff);

end{tikzpicture}

end{document}


Result of own attempt



I think this gives a decent end result. But for larger diagrams, it would be an absolute nightmare to work with a code that is so messy and so heavily dependent on coordinates and tweaked parameters.



Thus, if anyone has suggestions (big or small) for a more clever way to do this (with or without TikZ) and/or a way to make my own approach a bit cleaner or more systematic somehow, that would be greatly appreciated!










share|improve this question

























  • The diagram was created with a very nice tool, but that is not TikZ (as far as I can see). Anyway, it is always possible to create the diagram using TikZ.

    – JouleV
    1 hour ago











  • Any other tools that you think could be useful? I'm definitely willing to try out other tools than TikZ if need be!

    – Oskar Henriksson
    57 mins ago
















1















Background. I recently came across a Youtube video with a bunch of really nicely typeset 'diagram chases' that seem to have been made in TeX (perhaps TikZ?):



Exmples of a diagram chase



I'd like to create something similar for a presentation that I'm working on, but I feel a bit lost when it comes to figuring out a systematic/scalable way to this.



Own attempt. For small diagrams, it's possible to do this in a very ad hoc way, by just playing around with coordinates and the bend right and bend left attributes in TikZ. A quick example of what this might look like:



documentclass{article}

usepackage{tikz}
usetikzlibrary{arrows.meta}

begin{document}

begin{tikzpicture}[scale=1.5, bend left=15, bend right=15]

node (B) at (0,0) {$B$};
node (B') at (0,-1) {$B'$};
node (C) at (1,0) {$C$};
node (C') at (1,-1) {$C'$};

draw[->,gray] (B) -- (B');
draw[->,gray,shorten >= -1pt] (B') -- (C');
draw[->,gray,shorten >= -1pt] (B) -- (C);
draw[->,gray] (C) -- (C');

node (b) at (-0.3,0.2) {footnotesize $b$};
node (bprime) at (-0.3,-1.2) {footnotesize $b'$};
node (cbar) at (0.7,0.2) {footnotesize $bar{c}$};
node (cdiff) at (0.7,-1.3) {footnotesize $c'-c''$};

path (b) edge [{|[scale=0.7]}-{>[scale=0.7]},bend left] node [left] {} (cbar);
path (b) edge [{|[scale=0.7]}-{>[scale=0.7]},bend right] node [left] {} (bprime);
path (bprime) edge [{|[scale=0.7]}-{>[scale=0.7]},bend right] node [left] {} (cdiff);
path (cbar) edge [{|[scale=0.7]}-{>[scale=0.7]},bend right, shorten >= -2pt, shorten <= -1pt] node [left] {} (cdiff);

end{tikzpicture}

end{document}


Result of own attempt



I think this gives a decent end result. But for larger diagrams, it would be an absolute nightmare to work with a code that is so messy and so heavily dependent on coordinates and tweaked parameters.



Thus, if anyone has suggestions (big or small) for a more clever way to do this (with or without TikZ) and/or a way to make my own approach a bit cleaner or more systematic somehow, that would be greatly appreciated!










share|improve this question

























  • The diagram was created with a very nice tool, but that is not TikZ (as far as I can see). Anyway, it is always possible to create the diagram using TikZ.

    – JouleV
    1 hour ago











  • Any other tools that you think could be useful? I'm definitely willing to try out other tools than TikZ if need be!

    – Oskar Henriksson
    57 mins ago














1












1








1








Background. I recently came across a Youtube video with a bunch of really nicely typeset 'diagram chases' that seem to have been made in TeX (perhaps TikZ?):



Exmples of a diagram chase



I'd like to create something similar for a presentation that I'm working on, but I feel a bit lost when it comes to figuring out a systematic/scalable way to this.



Own attempt. For small diagrams, it's possible to do this in a very ad hoc way, by just playing around with coordinates and the bend right and bend left attributes in TikZ. A quick example of what this might look like:



documentclass{article}

usepackage{tikz}
usetikzlibrary{arrows.meta}

begin{document}

begin{tikzpicture}[scale=1.5, bend left=15, bend right=15]

node (B) at (0,0) {$B$};
node (B') at (0,-1) {$B'$};
node (C) at (1,0) {$C$};
node (C') at (1,-1) {$C'$};

draw[->,gray] (B) -- (B');
draw[->,gray,shorten >= -1pt] (B') -- (C');
draw[->,gray,shorten >= -1pt] (B) -- (C);
draw[->,gray] (C) -- (C');

node (b) at (-0.3,0.2) {footnotesize $b$};
node (bprime) at (-0.3,-1.2) {footnotesize $b'$};
node (cbar) at (0.7,0.2) {footnotesize $bar{c}$};
node (cdiff) at (0.7,-1.3) {footnotesize $c'-c''$};

path (b) edge [{|[scale=0.7]}-{>[scale=0.7]},bend left] node [left] {} (cbar);
path (b) edge [{|[scale=0.7]}-{>[scale=0.7]},bend right] node [left] {} (bprime);
path (bprime) edge [{|[scale=0.7]}-{>[scale=0.7]},bend right] node [left] {} (cdiff);
path (cbar) edge [{|[scale=0.7]}-{>[scale=0.7]},bend right, shorten >= -2pt, shorten <= -1pt] node [left] {} (cdiff);

end{tikzpicture}

end{document}


Result of own attempt



I think this gives a decent end result. But for larger diagrams, it would be an absolute nightmare to work with a code that is so messy and so heavily dependent on coordinates and tweaked parameters.



Thus, if anyone has suggestions (big or small) for a more clever way to do this (with or without TikZ) and/or a way to make my own approach a bit cleaner or more systematic somehow, that would be greatly appreciated!










share|improve this question
















Background. I recently came across a Youtube video with a bunch of really nicely typeset 'diagram chases' that seem to have been made in TeX (perhaps TikZ?):



Exmples of a diagram chase



I'd like to create something similar for a presentation that I'm working on, but I feel a bit lost when it comes to figuring out a systematic/scalable way to this.



Own attempt. For small diagrams, it's possible to do this in a very ad hoc way, by just playing around with coordinates and the bend right and bend left attributes in TikZ. A quick example of what this might look like:



documentclass{article}

usepackage{tikz}
usetikzlibrary{arrows.meta}

begin{document}

begin{tikzpicture}[scale=1.5, bend left=15, bend right=15]

node (B) at (0,0) {$B$};
node (B') at (0,-1) {$B'$};
node (C) at (1,0) {$C$};
node (C') at (1,-1) {$C'$};

draw[->,gray] (B) -- (B');
draw[->,gray,shorten >= -1pt] (B') -- (C');
draw[->,gray,shorten >= -1pt] (B) -- (C);
draw[->,gray] (C) -- (C');

node (b) at (-0.3,0.2) {footnotesize $b$};
node (bprime) at (-0.3,-1.2) {footnotesize $b'$};
node (cbar) at (0.7,0.2) {footnotesize $bar{c}$};
node (cdiff) at (0.7,-1.3) {footnotesize $c'-c''$};

path (b) edge [{|[scale=0.7]}-{>[scale=0.7]},bend left] node [left] {} (cbar);
path (b) edge [{|[scale=0.7]}-{>[scale=0.7]},bend right] node [left] {} (bprime);
path (bprime) edge [{|[scale=0.7]}-{>[scale=0.7]},bend right] node [left] {} (cdiff);
path (cbar) edge [{|[scale=0.7]}-{>[scale=0.7]},bend right, shorten >= -2pt, shorten <= -1pt] node [left] {} (cdiff);

end{tikzpicture}

end{document}


Result of own attempt



I think this gives a decent end result. But for larger diagrams, it would be an absolute nightmare to work with a code that is so messy and so heavily dependent on coordinates and tweaked parameters.



Thus, if anyone has suggestions (big or small) for a more clever way to do this (with or without TikZ) and/or a way to make my own approach a bit cleaner or more systematic somehow, that would be greatly appreciated!







tikz-pgf math-mode tikz-arrows tikz-cd






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share|improve this question








edited 55 mins ago







Oskar Henriksson

















asked 1 hour ago









Oskar HenrikssonOskar Henriksson

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  • The diagram was created with a very nice tool, but that is not TikZ (as far as I can see). Anyway, it is always possible to create the diagram using TikZ.

    – JouleV
    1 hour ago











  • Any other tools that you think could be useful? I'm definitely willing to try out other tools than TikZ if need be!

    – Oskar Henriksson
    57 mins ago



















  • The diagram was created with a very nice tool, but that is not TikZ (as far as I can see). Anyway, it is always possible to create the diagram using TikZ.

    – JouleV
    1 hour ago











  • Any other tools that you think could be useful? I'm definitely willing to try out other tools than TikZ if need be!

    – Oskar Henriksson
    57 mins ago

















The diagram was created with a very nice tool, but that is not TikZ (as far as I can see). Anyway, it is always possible to create the diagram using TikZ.

– JouleV
1 hour ago





The diagram was created with a very nice tool, but that is not TikZ (as far as I can see). Anyway, it is always possible to create the diagram using TikZ.

– JouleV
1 hour ago













Any other tools that you think could be useful? I'm definitely willing to try out other tools than TikZ if need be!

– Oskar Henriksson
57 mins ago





Any other tools that you think could be useful? I'm definitely willing to try out other tools than TikZ if need be!

– Oskar Henriksson
57 mins ago










1 Answer
1






active

oldest

votes


















2














We clearly can't avoid difficulties and complexity when dealing with such a complicated graph when using any kinds of tool, but by using matrices it has saved a lot of work.



documentclass[tikz]{standalone}
usetikzlibrary{matrix,positioning,arrows.meta}
usepackage{mathptmx}
tikzset{toarrow/.style={{|[scale=0.7]}-{>[scale=0.7]}},
backarrow/.style={{<[scale=0.7]}-{|[scale=0.7]}}}
begin{document}
begin{tikzpicture}
matrix[matrix of math nodes,row sep=2cm,column sep=2cm] (m) {%
A & B & C & D & E\
A' & B' & C' & D' & E'\};
path (m-1-2) node[above left=1.5ex and 1.5ex] (b) {$b$}
(m-1-3) node[above left=1.5ex and 1.5ex] (c) {$c$}
(m-1-4) node[above left=1.5ex and 1.5ex] (d) {$d$}
(m-1-5) node[above left=1.5ex and 1.5ex] (e) {$e$}
(m-2-2) node[below left=1.5ex and 1.5ex] (b2) {$b'$}
(m-2-3) node[below left=1.5ex and 1.5ex] (c2) {$c'$}
(m-2-4) node[below left=1.5ex and 1.5ex] (d2) {$d'$}
(m-2-5) node[below left=1.5ex and 1.5ex] (e2) {$0$}
(m-2-3) node[above left=1.5ex and 1.5ex] (c3) {$c''$}
(c) node[above left=1.5ex and -1.5ex] (cp) {$overline{c}+c$}
(c2) node[below=1.5ex] (cm) {$c'-c''$}
(d2) node[below=1.5ex] (db) {$0$}
(e.base east) node[above right=-.3333em and -1ex] {$=0$}
(c.base west) node[above left=-.3333em and 1.5ex] (co) {$overline{c}$};
% Delete the following part to see what happens
foreach i [count=j from 2] in {1,2,3,4} {
draw[dotted,->] (m-1-i) -- (m-2-i);
draw[dotted,->] (m-1-i) -- (m-1-j);
draw[dotted,->] (m-2-i) -- (m-2-j);
}
draw[dotted,->] (m-1-5) -- (m-2-5);
draw[toarrow] (b) edge[bend right] (b2) edge[bend left] (co);
draw[toarrow] (b2) to[bend right] (cm);
draw[toarrow] (cm) to[bend right] (db);
draw[toarrow] (co) to[bend right] (cm);
draw[toarrow] (cp) to[bend right] (c2);
draw[toarrow] (c) edge[bend right] (c3) edge[bend left] (d);
draw[backarrow] (d2) edge[bend left] (c2) edge[bend right=20] (c3) edge[bend left] (d);
draw[backarrow] (e2) edge[bend left] (d2) edge[bend left] (e);
draw[toarrow] (d) edge[bend left] (e);
end{tikzpicture}
end{document}


enter image description here






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    We clearly can't avoid difficulties and complexity when dealing with such a complicated graph when using any kinds of tool, but by using matrices it has saved a lot of work.



    documentclass[tikz]{standalone}
    usetikzlibrary{matrix,positioning,arrows.meta}
    usepackage{mathptmx}
    tikzset{toarrow/.style={{|[scale=0.7]}-{>[scale=0.7]}},
    backarrow/.style={{<[scale=0.7]}-{|[scale=0.7]}}}
    begin{document}
    begin{tikzpicture}
    matrix[matrix of math nodes,row sep=2cm,column sep=2cm] (m) {%
    A & B & C & D & E\
    A' & B' & C' & D' & E'\};
    path (m-1-2) node[above left=1.5ex and 1.5ex] (b) {$b$}
    (m-1-3) node[above left=1.5ex and 1.5ex] (c) {$c$}
    (m-1-4) node[above left=1.5ex and 1.5ex] (d) {$d$}
    (m-1-5) node[above left=1.5ex and 1.5ex] (e) {$e$}
    (m-2-2) node[below left=1.5ex and 1.5ex] (b2) {$b'$}
    (m-2-3) node[below left=1.5ex and 1.5ex] (c2) {$c'$}
    (m-2-4) node[below left=1.5ex and 1.5ex] (d2) {$d'$}
    (m-2-5) node[below left=1.5ex and 1.5ex] (e2) {$0$}
    (m-2-3) node[above left=1.5ex and 1.5ex] (c3) {$c''$}
    (c) node[above left=1.5ex and -1.5ex] (cp) {$overline{c}+c$}
    (c2) node[below=1.5ex] (cm) {$c'-c''$}
    (d2) node[below=1.5ex] (db) {$0$}
    (e.base east) node[above right=-.3333em and -1ex] {$=0$}
    (c.base west) node[above left=-.3333em and 1.5ex] (co) {$overline{c}$};
    % Delete the following part to see what happens
    foreach i [count=j from 2] in {1,2,3,4} {
    draw[dotted,->] (m-1-i) -- (m-2-i);
    draw[dotted,->] (m-1-i) -- (m-1-j);
    draw[dotted,->] (m-2-i) -- (m-2-j);
    }
    draw[dotted,->] (m-1-5) -- (m-2-5);
    draw[toarrow] (b) edge[bend right] (b2) edge[bend left] (co);
    draw[toarrow] (b2) to[bend right] (cm);
    draw[toarrow] (cm) to[bend right] (db);
    draw[toarrow] (co) to[bend right] (cm);
    draw[toarrow] (cp) to[bend right] (c2);
    draw[toarrow] (c) edge[bend right] (c3) edge[bend left] (d);
    draw[backarrow] (d2) edge[bend left] (c2) edge[bend right=20] (c3) edge[bend left] (d);
    draw[backarrow] (e2) edge[bend left] (d2) edge[bend left] (e);
    draw[toarrow] (d) edge[bend left] (e);
    end{tikzpicture}
    end{document}


    enter image description here






    share|improve this answer






























      2














      We clearly can't avoid difficulties and complexity when dealing with such a complicated graph when using any kinds of tool, but by using matrices it has saved a lot of work.



      documentclass[tikz]{standalone}
      usetikzlibrary{matrix,positioning,arrows.meta}
      usepackage{mathptmx}
      tikzset{toarrow/.style={{|[scale=0.7]}-{>[scale=0.7]}},
      backarrow/.style={{<[scale=0.7]}-{|[scale=0.7]}}}
      begin{document}
      begin{tikzpicture}
      matrix[matrix of math nodes,row sep=2cm,column sep=2cm] (m) {%
      A & B & C & D & E\
      A' & B' & C' & D' & E'\};
      path (m-1-2) node[above left=1.5ex and 1.5ex] (b) {$b$}
      (m-1-3) node[above left=1.5ex and 1.5ex] (c) {$c$}
      (m-1-4) node[above left=1.5ex and 1.5ex] (d) {$d$}
      (m-1-5) node[above left=1.5ex and 1.5ex] (e) {$e$}
      (m-2-2) node[below left=1.5ex and 1.5ex] (b2) {$b'$}
      (m-2-3) node[below left=1.5ex and 1.5ex] (c2) {$c'$}
      (m-2-4) node[below left=1.5ex and 1.5ex] (d2) {$d'$}
      (m-2-5) node[below left=1.5ex and 1.5ex] (e2) {$0$}
      (m-2-3) node[above left=1.5ex and 1.5ex] (c3) {$c''$}
      (c) node[above left=1.5ex and -1.5ex] (cp) {$overline{c}+c$}
      (c2) node[below=1.5ex] (cm) {$c'-c''$}
      (d2) node[below=1.5ex] (db) {$0$}
      (e.base east) node[above right=-.3333em and -1ex] {$=0$}
      (c.base west) node[above left=-.3333em and 1.5ex] (co) {$overline{c}$};
      % Delete the following part to see what happens
      foreach i [count=j from 2] in {1,2,3,4} {
      draw[dotted,->] (m-1-i) -- (m-2-i);
      draw[dotted,->] (m-1-i) -- (m-1-j);
      draw[dotted,->] (m-2-i) -- (m-2-j);
      }
      draw[dotted,->] (m-1-5) -- (m-2-5);
      draw[toarrow] (b) edge[bend right] (b2) edge[bend left] (co);
      draw[toarrow] (b2) to[bend right] (cm);
      draw[toarrow] (cm) to[bend right] (db);
      draw[toarrow] (co) to[bend right] (cm);
      draw[toarrow] (cp) to[bend right] (c2);
      draw[toarrow] (c) edge[bend right] (c3) edge[bend left] (d);
      draw[backarrow] (d2) edge[bend left] (c2) edge[bend right=20] (c3) edge[bend left] (d);
      draw[backarrow] (e2) edge[bend left] (d2) edge[bend left] (e);
      draw[toarrow] (d) edge[bend left] (e);
      end{tikzpicture}
      end{document}


      enter image description here






      share|improve this answer




























        2












        2








        2







        We clearly can't avoid difficulties and complexity when dealing with such a complicated graph when using any kinds of tool, but by using matrices it has saved a lot of work.



        documentclass[tikz]{standalone}
        usetikzlibrary{matrix,positioning,arrows.meta}
        usepackage{mathptmx}
        tikzset{toarrow/.style={{|[scale=0.7]}-{>[scale=0.7]}},
        backarrow/.style={{<[scale=0.7]}-{|[scale=0.7]}}}
        begin{document}
        begin{tikzpicture}
        matrix[matrix of math nodes,row sep=2cm,column sep=2cm] (m) {%
        A & B & C & D & E\
        A' & B' & C' & D' & E'\};
        path (m-1-2) node[above left=1.5ex and 1.5ex] (b) {$b$}
        (m-1-3) node[above left=1.5ex and 1.5ex] (c) {$c$}
        (m-1-4) node[above left=1.5ex and 1.5ex] (d) {$d$}
        (m-1-5) node[above left=1.5ex and 1.5ex] (e) {$e$}
        (m-2-2) node[below left=1.5ex and 1.5ex] (b2) {$b'$}
        (m-2-3) node[below left=1.5ex and 1.5ex] (c2) {$c'$}
        (m-2-4) node[below left=1.5ex and 1.5ex] (d2) {$d'$}
        (m-2-5) node[below left=1.5ex and 1.5ex] (e2) {$0$}
        (m-2-3) node[above left=1.5ex and 1.5ex] (c3) {$c''$}
        (c) node[above left=1.5ex and -1.5ex] (cp) {$overline{c}+c$}
        (c2) node[below=1.5ex] (cm) {$c'-c''$}
        (d2) node[below=1.5ex] (db) {$0$}
        (e.base east) node[above right=-.3333em and -1ex] {$=0$}
        (c.base west) node[above left=-.3333em and 1.5ex] (co) {$overline{c}$};
        % Delete the following part to see what happens
        foreach i [count=j from 2] in {1,2,3,4} {
        draw[dotted,->] (m-1-i) -- (m-2-i);
        draw[dotted,->] (m-1-i) -- (m-1-j);
        draw[dotted,->] (m-2-i) -- (m-2-j);
        }
        draw[dotted,->] (m-1-5) -- (m-2-5);
        draw[toarrow] (b) edge[bend right] (b2) edge[bend left] (co);
        draw[toarrow] (b2) to[bend right] (cm);
        draw[toarrow] (cm) to[bend right] (db);
        draw[toarrow] (co) to[bend right] (cm);
        draw[toarrow] (cp) to[bend right] (c2);
        draw[toarrow] (c) edge[bend right] (c3) edge[bend left] (d);
        draw[backarrow] (d2) edge[bend left] (c2) edge[bend right=20] (c3) edge[bend left] (d);
        draw[backarrow] (e2) edge[bend left] (d2) edge[bend left] (e);
        draw[toarrow] (d) edge[bend left] (e);
        end{tikzpicture}
        end{document}


        enter image description here






        share|improve this answer















        We clearly can't avoid difficulties and complexity when dealing with such a complicated graph when using any kinds of tool, but by using matrices it has saved a lot of work.



        documentclass[tikz]{standalone}
        usetikzlibrary{matrix,positioning,arrows.meta}
        usepackage{mathptmx}
        tikzset{toarrow/.style={{|[scale=0.7]}-{>[scale=0.7]}},
        backarrow/.style={{<[scale=0.7]}-{|[scale=0.7]}}}
        begin{document}
        begin{tikzpicture}
        matrix[matrix of math nodes,row sep=2cm,column sep=2cm] (m) {%
        A & B & C & D & E\
        A' & B' & C' & D' & E'\};
        path (m-1-2) node[above left=1.5ex and 1.5ex] (b) {$b$}
        (m-1-3) node[above left=1.5ex and 1.5ex] (c) {$c$}
        (m-1-4) node[above left=1.5ex and 1.5ex] (d) {$d$}
        (m-1-5) node[above left=1.5ex and 1.5ex] (e) {$e$}
        (m-2-2) node[below left=1.5ex and 1.5ex] (b2) {$b'$}
        (m-2-3) node[below left=1.5ex and 1.5ex] (c2) {$c'$}
        (m-2-4) node[below left=1.5ex and 1.5ex] (d2) {$d'$}
        (m-2-5) node[below left=1.5ex and 1.5ex] (e2) {$0$}
        (m-2-3) node[above left=1.5ex and 1.5ex] (c3) {$c''$}
        (c) node[above left=1.5ex and -1.5ex] (cp) {$overline{c}+c$}
        (c2) node[below=1.5ex] (cm) {$c'-c''$}
        (d2) node[below=1.5ex] (db) {$0$}
        (e.base east) node[above right=-.3333em and -1ex] {$=0$}
        (c.base west) node[above left=-.3333em and 1.5ex] (co) {$overline{c}$};
        % Delete the following part to see what happens
        foreach i [count=j from 2] in {1,2,3,4} {
        draw[dotted,->] (m-1-i) -- (m-2-i);
        draw[dotted,->] (m-1-i) -- (m-1-j);
        draw[dotted,->] (m-2-i) -- (m-2-j);
        }
        draw[dotted,->] (m-1-5) -- (m-2-5);
        draw[toarrow] (b) edge[bend right] (b2) edge[bend left] (co);
        draw[toarrow] (b2) to[bend right] (cm);
        draw[toarrow] (cm) to[bend right] (db);
        draw[toarrow] (co) to[bend right] (cm);
        draw[toarrow] (cp) to[bend right] (c2);
        draw[toarrow] (c) edge[bend right] (c3) edge[bend left] (d);
        draw[backarrow] (d2) edge[bend left] (c2) edge[bend right=20] (c3) edge[bend left] (d);
        draw[backarrow] (e2) edge[bend left] (d2) edge[bend left] (e);
        draw[toarrow] (d) edge[bend left] (e);
        end{tikzpicture}
        end{document}


        enter image description here







        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited 40 mins ago

























        answered 57 mins ago









        JouleVJouleV

        13.5k22663




        13.5k22663






























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