[Tex/LaTex] Drawing commutative diagram in tex

diagrams

I want to draw this digram below in Latex and thank you . enter image description here

Best Answer

You may want to learn tikz-cd:

\documentclass{article}
\usepackage{tikz-cd}

\begin{document}
\[
\begin{tikzcd}[row sep=2.5em]
A' \arrow[rr,"f'"] \arrow[dr,swap,"a"] \arrow[dd,swap,"g'"] &&
  B' \arrow[dd,swap,"h'" near start] \arrow[dr,"b"] \\
& A \arrow[rr,crossing over,"f" near start] &&
  B \arrow[dd,"h"] \\
C' \arrow[rr,"k'" near end] \arrow[dr,swap,"c"] && D' \arrow[dr,swap,"d"] \\
& C \arrow[rr,"k"] \arrow[uu,<-,crossing over,"g" near end]&& D
\end{tikzcd}
\]
\end{document}

The only trick is to draw the "g" arrow later (and in the opposite direction), so that it can properly cross over the "k'" arrow that would be drawn later if the "g" arrow started from "A" instead of "C".

enter image description here

Related Solutions

Diagrams in LaTeX – How to Draw a Diagram in LaTeX

One LaTeX-friendly tool for doing this type of drawing is MetaPost. Getting started details are in the linked answer.

One technique for filling the background of an image, is to save the whole drawing in a picture variable, and then fill the bbox of the picture with the background colour, and then draw the picture on top.

Here's an example using a version of the OP image.

prologues := 3;
outputtemplate := "%j%c.eps";

beginfig(1);

u = 1.4cm;

numeric theta[];
theta1 = 12;
theta2 = 24;
theta3 = 36;

path segment[];
segment1 = (origin -- down) scaled 1.2u rotated theta1;
segment2 = (origin -- down) scaled 1.2u rotated theta2 shifted point 1 of segment1;
segment3 = (origin -- down) scaled 1.2u rotated theta3 shifted point 1 of segment2;

picture pendulum;
pendulum = image(
    draw (left--right) scaled 2u;
    for i=1 upto 3:
      draw segment[i];
      draw (origin--down) scaled 1u
                          shifted point 0 of segment[i] 
                          dashed withdots scaled 1/3;
      label.urt(btex $\ell$ etex, point 1/2 of segment[i]);
      label.urt(btex $m$    etex, point   1 of segment[i]);
      draw subpath(0, 1/45 (theta[i]-8)) of fullcircle 
           rotated 274 scaled .6u shifted point 0 of segment[i]
           withpen pencircle scaled .3;  
    endfor
    for i=1 upto 3:
      fill fullcircle scaled 4 shifted point 1 of segment[i] withcolor .87 blue;
    endfor
    label(btex $\theta_1$ etex scaled 0.8, point 0 of segment1 shifted (-6,-12));
    label(btex $\theta_2$ etex scaled 0.8, point 0 of segment2 shifted ( 6,-25));
    label(btex $\theta_3$ etex scaled 0.8, point 0 of segment3 shifted ( 8,-20));
);

bboxmargin := 10;
fill bbox pendulum withcolor .2[white,blue];
draw pendulum;

endfig;
end.

[Tex/LaTex] Drawing a particular commutative diagram

If you don't mind using xy-pic, the code

\documentclass{beamer}
\usepackage[all,cmtip]{xy}
\begin{document}
\begin{displaymath}
  \xymatrix{
    {X} \ar[rr]^{\gamma} \ar[dr]^{\alpha}
    && {Y}\\
    {\varepsilon_{3}} \ar[r]
    & {Z} \ar[ur]^{\beta}
    & {\varepsilon_{2}} \ar[u]
  }% xymatrix
\end{displaymath}

\end{document}

will produce

For a tutorial on commutative diagrams using xy-pic, see section 8 of "Getting up and running with AMS-LaTeX", at https://www.ctan.org/tex-archive/info/amslatex-primer?lang=en

Best Answer

Related Solutions

Diagrams in LaTeX – How to Draw a Diagram in LaTeX

[Tex/LaTex] Drawing a particular commutative diagram

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