How to draw commutative diagrams?












24














Can anyone help me in giving commands for commutative diagrams in LaTeX ? It doesn't seem to appear properly in the LaTeX guides that I have. A command for a simple triangular diagram with arrows associated to maps would be good enough, or maybe some appropriate reference.










share|improve this question




















  • 2




    sure, how about a quick google
    – cmhughes
    May 23 '13 at 15:28






  • 2




    Take a look at jmilne.org/not/CDGuide.html
    – user13907
    May 23 '13 at 15:29










  • One single authentic source on xy-pic is at TUG and its userguide and crisp Introduction ppt. More in depth reference guide
    – texenthusiast
    May 23 '13 at 15:34








  • 4




    The most modern package is tikz-cd. The documentation includes numerous examples.
    – Gonzalo Medina
    May 23 '13 at 15:38
















24














Can anyone help me in giving commands for commutative diagrams in LaTeX ? It doesn't seem to appear properly in the LaTeX guides that I have. A command for a simple triangular diagram with arrows associated to maps would be good enough, or maybe some appropriate reference.










share|improve this question




















  • 2




    sure, how about a quick google
    – cmhughes
    May 23 '13 at 15:28






  • 2




    Take a look at jmilne.org/not/CDGuide.html
    – user13907
    May 23 '13 at 15:29










  • One single authentic source on xy-pic is at TUG and its userguide and crisp Introduction ppt. More in depth reference guide
    – texenthusiast
    May 23 '13 at 15:34








  • 4




    The most modern package is tikz-cd. The documentation includes numerous examples.
    – Gonzalo Medina
    May 23 '13 at 15:38














24












24








24


13





Can anyone help me in giving commands for commutative diagrams in LaTeX ? It doesn't seem to appear properly in the LaTeX guides that I have. A command for a simple triangular diagram with arrows associated to maps would be good enough, or maybe some appropriate reference.










share|improve this question















Can anyone help me in giving commands for commutative diagrams in LaTeX ? It doesn't seem to appear properly in the LaTeX guides that I have. A command for a simple triangular diagram with arrows associated to maps would be good enough, or maybe some appropriate reference.







macros diagrams xy-pic tikz-cd






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 13 mins ago









Henri Menke

70.5k8157264




70.5k8157264










asked May 23 '13 at 15:26









smiley06smiley06

317138




317138








  • 2




    sure, how about a quick google
    – cmhughes
    May 23 '13 at 15:28






  • 2




    Take a look at jmilne.org/not/CDGuide.html
    – user13907
    May 23 '13 at 15:29










  • One single authentic source on xy-pic is at TUG and its userguide and crisp Introduction ppt. More in depth reference guide
    – texenthusiast
    May 23 '13 at 15:34








  • 4




    The most modern package is tikz-cd. The documentation includes numerous examples.
    – Gonzalo Medina
    May 23 '13 at 15:38














  • 2




    sure, how about a quick google
    – cmhughes
    May 23 '13 at 15:28






  • 2




    Take a look at jmilne.org/not/CDGuide.html
    – user13907
    May 23 '13 at 15:29










  • One single authentic source on xy-pic is at TUG and its userguide and crisp Introduction ppt. More in depth reference guide
    – texenthusiast
    May 23 '13 at 15:34








  • 4




    The most modern package is tikz-cd. The documentation includes numerous examples.
    – Gonzalo Medina
    May 23 '13 at 15:38








2




2




sure, how about a quick google
– cmhughes
May 23 '13 at 15:28




sure, how about a quick google
– cmhughes
May 23 '13 at 15:28




2




2




Take a look at jmilne.org/not/CDGuide.html
– user13907
May 23 '13 at 15:29




Take a look at jmilne.org/not/CDGuide.html
– user13907
May 23 '13 at 15:29












One single authentic source on xy-pic is at TUG and its userguide and crisp Introduction ppt. More in depth reference guide
– texenthusiast
May 23 '13 at 15:34






One single authentic source on xy-pic is at TUG and its userguide and crisp Introduction ppt. More in depth reference guide
– texenthusiast
May 23 '13 at 15:34






4




4




The most modern package is tikz-cd. The documentation includes numerous examples.
– Gonzalo Medina
May 23 '13 at 15:38




The most modern package is tikz-cd. The documentation includes numerous examples.
– Gonzalo Medina
May 23 '13 at 15:38










2 Answers
2






active

oldest

votes


















29














For simple and complex diagrams, I'd recommend tikz-cd. If you are not comfortable with using the macros, there is also a web-based GUI editor at https://tikzcd.yichuanshen.de/. The following example can be viewed in the editor under this link (click).



Let's see an easy triangular diagram.



documentclass{article}
usepackage{tikz-cd}
begin{document}
[
begin{tikzcd}
A arrow{r}{f} arrow[swap]{dr}{gcirc f} & B arrow{d}{g} \
& C
end{tikzcd}
]
end{document}


enter image description here



An arrow takes as argument the "steps" where it has to go: r stands for "right", d stands for "down"; also u stands for "up" and l for "left".



A similar syntax is available with Xy-pic.



documentclass{article}
usepackage[all,cmtip]{xy}
begin{document}
[
xymatrix{
A ar[r]^{f} ar[dr]_{gcirc f} & B ar[d]^{g} \
& C
}
]
end{document}


Note how the labels are positioned: ^ means above the arrow, _ means below; above and below are with respect to the direction of the arrow: rotate it counterclockwise until it points from left to right.



enter image description here



As you see, the results are pretty much alike. While I used to use Xy-pic, I'm now more convinced that tikz-cd can be better, as it relies on the powerful TikZ/PGF library.






share|improve this answer























  • tikz-cd is significantly better. It is more flexible and powerful, and just compare the hooked arrows with those of xy-pic.
    – Gaussler
    Feb 18 '16 at 17:05






  • 1




    @Gaussler I fully agree! I have used Xy-pic quite extensively, with good results, but tikz-cd is much more powerful and intuitive. You won't find a single hook arrow in my older diagrams. ;-)
    – egreg
    Feb 18 '16 at 17:09












  • How can I arrange for the triangle to be equilateral? In other words, how do I centralize $C$ above?
    – Eduardo Longa
    Feb 15 '17 at 20:12










  • A arrow{rr}{f} arrow[swap]{dr}{gcirc f} && B arrow{dl}{g} \ & C (you may have to adjust the column sep)
    – egreg
    Feb 15 '17 at 21:50



















5














Another way is to use the psmatrix environment, from pst-node. The objects are first described as nodes in a matrix, then the arrows are described. In this description, nodes can be given a name, or are described by their pair of indices i, j in the matrix. See documentation of pst-node for details on how to connect nodes or more generally how to fine-tune the look of a diagram.



You can compile with pdflatex if you use the --shell-escape switch (TeX Live, MacTeX) or --enable-write18 (MiKTeX), and use the pdf option for the document class: this loads the auto-pst-pdf package. Alternatively, you can load the latter package, after pstricks and its family.



Here is a simple example:



documentclass[pdf]{article}
usepackage{pst-node}

begin{document}

[ psset{arrows=->, arrowinset=0.25, linewidth=0.6pt, nodesep=3pt, labelsep=2pt, rowsep=1.2cm}
begin{psmatrix}
(X, d) & (X_1 ,d_1 )\%
& (X_2 ,d_2)
%%%
ncline{1,1}{1,2}naput{T_1} ncline{1,1}{2,2}nbput{T_2 }
ncline{1,2}{2,2}naput[npos=0.45]{T}
end{psmatrix}
]
end{document}


enter image description here






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    2 Answers
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    2 Answers
    2






    active

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    active

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    active

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    29














    For simple and complex diagrams, I'd recommend tikz-cd. If you are not comfortable with using the macros, there is also a web-based GUI editor at https://tikzcd.yichuanshen.de/. The following example can be viewed in the editor under this link (click).



    Let's see an easy triangular diagram.



    documentclass{article}
    usepackage{tikz-cd}
    begin{document}
    [
    begin{tikzcd}
    A arrow{r}{f} arrow[swap]{dr}{gcirc f} & B arrow{d}{g} \
    & C
    end{tikzcd}
    ]
    end{document}


    enter image description here



    An arrow takes as argument the "steps" where it has to go: r stands for "right", d stands for "down"; also u stands for "up" and l for "left".



    A similar syntax is available with Xy-pic.



    documentclass{article}
    usepackage[all,cmtip]{xy}
    begin{document}
    [
    xymatrix{
    A ar[r]^{f} ar[dr]_{gcirc f} & B ar[d]^{g} \
    & C
    }
    ]
    end{document}


    Note how the labels are positioned: ^ means above the arrow, _ means below; above and below are with respect to the direction of the arrow: rotate it counterclockwise until it points from left to right.



    enter image description here



    As you see, the results are pretty much alike. While I used to use Xy-pic, I'm now more convinced that tikz-cd can be better, as it relies on the powerful TikZ/PGF library.






    share|improve this answer























    • tikz-cd is significantly better. It is more flexible and powerful, and just compare the hooked arrows with those of xy-pic.
      – Gaussler
      Feb 18 '16 at 17:05






    • 1




      @Gaussler I fully agree! I have used Xy-pic quite extensively, with good results, but tikz-cd is much more powerful and intuitive. You won't find a single hook arrow in my older diagrams. ;-)
      – egreg
      Feb 18 '16 at 17:09












    • How can I arrange for the triangle to be equilateral? In other words, how do I centralize $C$ above?
      – Eduardo Longa
      Feb 15 '17 at 20:12










    • A arrow{rr}{f} arrow[swap]{dr}{gcirc f} && B arrow{dl}{g} \ & C (you may have to adjust the column sep)
      – egreg
      Feb 15 '17 at 21:50
















    29














    For simple and complex diagrams, I'd recommend tikz-cd. If you are not comfortable with using the macros, there is also a web-based GUI editor at https://tikzcd.yichuanshen.de/. The following example can be viewed in the editor under this link (click).



    Let's see an easy triangular diagram.



    documentclass{article}
    usepackage{tikz-cd}
    begin{document}
    [
    begin{tikzcd}
    A arrow{r}{f} arrow[swap]{dr}{gcirc f} & B arrow{d}{g} \
    & C
    end{tikzcd}
    ]
    end{document}


    enter image description here



    An arrow takes as argument the "steps" where it has to go: r stands for "right", d stands for "down"; also u stands for "up" and l for "left".



    A similar syntax is available with Xy-pic.



    documentclass{article}
    usepackage[all,cmtip]{xy}
    begin{document}
    [
    xymatrix{
    A ar[r]^{f} ar[dr]_{gcirc f} & B ar[d]^{g} \
    & C
    }
    ]
    end{document}


    Note how the labels are positioned: ^ means above the arrow, _ means below; above and below are with respect to the direction of the arrow: rotate it counterclockwise until it points from left to right.



    enter image description here



    As you see, the results are pretty much alike. While I used to use Xy-pic, I'm now more convinced that tikz-cd can be better, as it relies on the powerful TikZ/PGF library.






    share|improve this answer























    • tikz-cd is significantly better. It is more flexible and powerful, and just compare the hooked arrows with those of xy-pic.
      – Gaussler
      Feb 18 '16 at 17:05






    • 1




      @Gaussler I fully agree! I have used Xy-pic quite extensively, with good results, but tikz-cd is much more powerful and intuitive. You won't find a single hook arrow in my older diagrams. ;-)
      – egreg
      Feb 18 '16 at 17:09












    • How can I arrange for the triangle to be equilateral? In other words, how do I centralize $C$ above?
      – Eduardo Longa
      Feb 15 '17 at 20:12










    • A arrow{rr}{f} arrow[swap]{dr}{gcirc f} && B arrow{dl}{g} \ & C (you may have to adjust the column sep)
      – egreg
      Feb 15 '17 at 21:50














    29












    29








    29






    For simple and complex diagrams, I'd recommend tikz-cd. If you are not comfortable with using the macros, there is also a web-based GUI editor at https://tikzcd.yichuanshen.de/. The following example can be viewed in the editor under this link (click).



    Let's see an easy triangular diagram.



    documentclass{article}
    usepackage{tikz-cd}
    begin{document}
    [
    begin{tikzcd}
    A arrow{r}{f} arrow[swap]{dr}{gcirc f} & B arrow{d}{g} \
    & C
    end{tikzcd}
    ]
    end{document}


    enter image description here



    An arrow takes as argument the "steps" where it has to go: r stands for "right", d stands for "down"; also u stands for "up" and l for "left".



    A similar syntax is available with Xy-pic.



    documentclass{article}
    usepackage[all,cmtip]{xy}
    begin{document}
    [
    xymatrix{
    A ar[r]^{f} ar[dr]_{gcirc f} & B ar[d]^{g} \
    & C
    }
    ]
    end{document}


    Note how the labels are positioned: ^ means above the arrow, _ means below; above and below are with respect to the direction of the arrow: rotate it counterclockwise until it points from left to right.



    enter image description here



    As you see, the results are pretty much alike. While I used to use Xy-pic, I'm now more convinced that tikz-cd can be better, as it relies on the powerful TikZ/PGF library.






    share|improve this answer














    For simple and complex diagrams, I'd recommend tikz-cd. If you are not comfortable with using the macros, there is also a web-based GUI editor at https://tikzcd.yichuanshen.de/. The following example can be viewed in the editor under this link (click).



    Let's see an easy triangular diagram.



    documentclass{article}
    usepackage{tikz-cd}
    begin{document}
    [
    begin{tikzcd}
    A arrow{r}{f} arrow[swap]{dr}{gcirc f} & B arrow{d}{g} \
    & C
    end{tikzcd}
    ]
    end{document}


    enter image description here



    An arrow takes as argument the "steps" where it has to go: r stands for "right", d stands for "down"; also u stands for "up" and l for "left".



    A similar syntax is available with Xy-pic.



    documentclass{article}
    usepackage[all,cmtip]{xy}
    begin{document}
    [
    xymatrix{
    A ar[r]^{f} ar[dr]_{gcirc f} & B ar[d]^{g} \
    & C
    }
    ]
    end{document}


    Note how the labels are positioned: ^ means above the arrow, _ means below; above and below are with respect to the direction of the arrow: rotate it counterclockwise until it points from left to right.



    enter image description here



    As you see, the results are pretty much alike. While I used to use Xy-pic, I'm now more convinced that tikz-cd can be better, as it relies on the powerful TikZ/PGF library.







    share|improve this answer














    share|improve this answer



    share|improve this answer








    edited 10 mins ago









    Henri Menke

    70.5k8157264




    70.5k8157264










    answered May 23 '13 at 20:37









    egregegreg

    711k8618913174




    711k8618913174












    • tikz-cd is significantly better. It is more flexible and powerful, and just compare the hooked arrows with those of xy-pic.
      – Gaussler
      Feb 18 '16 at 17:05






    • 1




      @Gaussler I fully agree! I have used Xy-pic quite extensively, with good results, but tikz-cd is much more powerful and intuitive. You won't find a single hook arrow in my older diagrams. ;-)
      – egreg
      Feb 18 '16 at 17:09












    • How can I arrange for the triangle to be equilateral? In other words, how do I centralize $C$ above?
      – Eduardo Longa
      Feb 15 '17 at 20:12










    • A arrow{rr}{f} arrow[swap]{dr}{gcirc f} && B arrow{dl}{g} \ & C (you may have to adjust the column sep)
      – egreg
      Feb 15 '17 at 21:50


















    • tikz-cd is significantly better. It is more flexible and powerful, and just compare the hooked arrows with those of xy-pic.
      – Gaussler
      Feb 18 '16 at 17:05






    • 1




      @Gaussler I fully agree! I have used Xy-pic quite extensively, with good results, but tikz-cd is much more powerful and intuitive. You won't find a single hook arrow in my older diagrams. ;-)
      – egreg
      Feb 18 '16 at 17:09












    • How can I arrange for the triangle to be equilateral? In other words, how do I centralize $C$ above?
      – Eduardo Longa
      Feb 15 '17 at 20:12










    • A arrow{rr}{f} arrow[swap]{dr}{gcirc f} && B arrow{dl}{g} \ & C (you may have to adjust the column sep)
      – egreg
      Feb 15 '17 at 21:50
















    tikz-cd is significantly better. It is more flexible and powerful, and just compare the hooked arrows with those of xy-pic.
    – Gaussler
    Feb 18 '16 at 17:05




    tikz-cd is significantly better. It is more flexible and powerful, and just compare the hooked arrows with those of xy-pic.
    – Gaussler
    Feb 18 '16 at 17:05




    1




    1




    @Gaussler I fully agree! I have used Xy-pic quite extensively, with good results, but tikz-cd is much more powerful and intuitive. You won't find a single hook arrow in my older diagrams. ;-)
    – egreg
    Feb 18 '16 at 17:09






    @Gaussler I fully agree! I have used Xy-pic quite extensively, with good results, but tikz-cd is much more powerful and intuitive. You won't find a single hook arrow in my older diagrams. ;-)
    – egreg
    Feb 18 '16 at 17:09














    How can I arrange for the triangle to be equilateral? In other words, how do I centralize $C$ above?
    – Eduardo Longa
    Feb 15 '17 at 20:12




    How can I arrange for the triangle to be equilateral? In other words, how do I centralize $C$ above?
    – Eduardo Longa
    Feb 15 '17 at 20:12












    A arrow{rr}{f} arrow[swap]{dr}{gcirc f} && B arrow{dl}{g} \ & C (you may have to adjust the column sep)
    – egreg
    Feb 15 '17 at 21:50




    A arrow{rr}{f} arrow[swap]{dr}{gcirc f} && B arrow{dl}{g} \ & C (you may have to adjust the column sep)
    – egreg
    Feb 15 '17 at 21:50











    5














    Another way is to use the psmatrix environment, from pst-node. The objects are first described as nodes in a matrix, then the arrows are described. In this description, nodes can be given a name, or are described by their pair of indices i, j in the matrix. See documentation of pst-node for details on how to connect nodes or more generally how to fine-tune the look of a diagram.



    You can compile with pdflatex if you use the --shell-escape switch (TeX Live, MacTeX) or --enable-write18 (MiKTeX), and use the pdf option for the document class: this loads the auto-pst-pdf package. Alternatively, you can load the latter package, after pstricks and its family.



    Here is a simple example:



    documentclass[pdf]{article}
    usepackage{pst-node}

    begin{document}

    [ psset{arrows=->, arrowinset=0.25, linewidth=0.6pt, nodesep=3pt, labelsep=2pt, rowsep=1.2cm}
    begin{psmatrix}
    (X, d) & (X_1 ,d_1 )\%
    & (X_2 ,d_2)
    %%%
    ncline{1,1}{1,2}naput{T_1} ncline{1,1}{2,2}nbput{T_2 }
    ncline{1,2}{2,2}naput[npos=0.45]{T}
    end{psmatrix}
    ]
    end{document}


    enter image description here






    share|improve this answer




























      5














      Another way is to use the psmatrix environment, from pst-node. The objects are first described as nodes in a matrix, then the arrows are described. In this description, nodes can be given a name, or are described by their pair of indices i, j in the matrix. See documentation of pst-node for details on how to connect nodes or more generally how to fine-tune the look of a diagram.



      You can compile with pdflatex if you use the --shell-escape switch (TeX Live, MacTeX) or --enable-write18 (MiKTeX), and use the pdf option for the document class: this loads the auto-pst-pdf package. Alternatively, you can load the latter package, after pstricks and its family.



      Here is a simple example:



      documentclass[pdf]{article}
      usepackage{pst-node}

      begin{document}

      [ psset{arrows=->, arrowinset=0.25, linewidth=0.6pt, nodesep=3pt, labelsep=2pt, rowsep=1.2cm}
      begin{psmatrix}
      (X, d) & (X_1 ,d_1 )\%
      & (X_2 ,d_2)
      %%%
      ncline{1,1}{1,2}naput{T_1} ncline{1,1}{2,2}nbput{T_2 }
      ncline{1,2}{2,2}naput[npos=0.45]{T}
      end{psmatrix}
      ]
      end{document}


      enter image description here






      share|improve this answer


























        5












        5








        5






        Another way is to use the psmatrix environment, from pst-node. The objects are first described as nodes in a matrix, then the arrows are described. In this description, nodes can be given a name, or are described by their pair of indices i, j in the matrix. See documentation of pst-node for details on how to connect nodes or more generally how to fine-tune the look of a diagram.



        You can compile with pdflatex if you use the --shell-escape switch (TeX Live, MacTeX) or --enable-write18 (MiKTeX), and use the pdf option for the document class: this loads the auto-pst-pdf package. Alternatively, you can load the latter package, after pstricks and its family.



        Here is a simple example:



        documentclass[pdf]{article}
        usepackage{pst-node}

        begin{document}

        [ psset{arrows=->, arrowinset=0.25, linewidth=0.6pt, nodesep=3pt, labelsep=2pt, rowsep=1.2cm}
        begin{psmatrix}
        (X, d) & (X_1 ,d_1 )\%
        & (X_2 ,d_2)
        %%%
        ncline{1,1}{1,2}naput{T_1} ncline{1,1}{2,2}nbput{T_2 }
        ncline{1,2}{2,2}naput[npos=0.45]{T}
        end{psmatrix}
        ]
        end{document}


        enter image description here






        share|improve this answer














        Another way is to use the psmatrix environment, from pst-node. The objects are first described as nodes in a matrix, then the arrows are described. In this description, nodes can be given a name, or are described by their pair of indices i, j in the matrix. See documentation of pst-node for details on how to connect nodes or more generally how to fine-tune the look of a diagram.



        You can compile with pdflatex if you use the --shell-escape switch (TeX Live, MacTeX) or --enable-write18 (MiKTeX), and use the pdf option for the document class: this loads the auto-pst-pdf package. Alternatively, you can load the latter package, after pstricks and its family.



        Here is a simple example:



        documentclass[pdf]{article}
        usepackage{pst-node}

        begin{document}

        [ psset{arrows=->, arrowinset=0.25, linewidth=0.6pt, nodesep=3pt, labelsep=2pt, rowsep=1.2cm}
        begin{psmatrix}
        (X, d) & (X_1 ,d_1 )\%
        & (X_2 ,d_2)
        %%%
        ncline{1,1}{1,2}naput{T_1} ncline{1,1}{2,2}nbput{T_2 }
        ncline{1,2}{2,2}naput[npos=0.45]{T}
        end{psmatrix}
        ]
        end{document}


        enter image description here







        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited Feb 1 '17 at 9:40

























        answered Oct 20 '14 at 8:14









        BernardBernard

        167k769194




        167k769194






























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