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Drawing commutative diagrams with TikZ #214

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platipo opened this issue Sep 12, 2019 · 16 comments · May be fixed by #219
Closed

Drawing commutative diagrams with TikZ #214

platipo opened this issue Sep 12, 2019 · 16 comments · May be fixed by #219

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@platipo
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platipo commented Sep 12, 2019

The images are quite nice but sometimes they feel kinda cheap. It would be nice if they could be redrawn with TikZ.
This would give a touch of class to a book that is already beautiful.

Example:
scanned diagram

Simple solution:
TikZ-diagram-simple

\begin{tikzcd}[commutative diagrams/every, column sep=small, cells={nodes={inner color=blue!20!white,outer color=white}}]
    & & Arr\otimes Arr \arrow[dr] \arrow[dl] \arrow[d, phantom, "\vee", very near start,font=\Large] & & \\
    & Arr \arrow[dl, swap, "dom"] \arrow[dr, swap, "cod"] & & Arr \arrow[dl, swap, "dom"] \arrow[dr, swap, "cod"] & \\
    Ob & & Ob & & Ob \\
\end{tikzcd}

And a more complex one:
TikZ-diagram-complex

\begin{tikzpicture}[commutative diagrams/every, column sep=small, cells={nodes={inner color=blue!20!white,outer color=white}}]
    \def\colspace{1.2}
    \def\rowspace{1.5}
    \node[inner color=purple!50!blue!20!white,outer color=white] (P0) at (2*\rowspace, 2*\colspace) {$Arr\otimes Arr$};
    \node[inner color=purple!50!blue!20!white,outer color=white] (P1) at (1*\rowspace, 1*\colspace) {$Arr$};
    \node[inner color=purple!50!blue!20!white,outer color=white] (P2) at (3*\rowspace, 1*\colspace) {$Arr$};
    \node[inner color=blue!30!white,outer color=white] (P3) at (0*\rowspace, 0*\colspace) {$Ob$};
    \node[inner color=blue!30!white,outer color=white] (P4) at (2*\rowspace, 0*\colspace) {$Ob$};
    \node[inner color=blue!30!white,outer color=white] (P5) at (4*\rowspace, 0*\colspace) {$Ob$};
    \node (P0b) at (2*\rowspace, 1.7*\colspace) {\rotatebox[origin=c]{180}{ $\mathbf{\widehat{}}$}};

    \path[commutative diagrams/.cd,every arrow, every label]
        (P0) edge node {} (P1)
        (P0) edge node {} (P2)
        (P1) edge node[swap] {$dom$} (P3)
        (P1) edge node[swap] {$cod$} (P4)
        (P2) edge node[swap] {$dom$} (P4)
        (P2) edge node[swap] {$cod$} (P5)
\end{tikzpicture}
@BartoszMilewski
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In principle, I like TikZ. In this case I would get rid of the coloring and try to come up with a better symbol for pullback. In normal orientation, a pullback can be written like this:
\begin{tikzcd}
a
\arrow[r, "f"]
\arrow[d, "g"']
\arrow[rd, phantom, "\lrcorner", very near start]
& b
\arrow[d, "k"] \
c
\arrow[r, "j"]
& d
\end{tikzcd}
but I don't know how to rotate it 45 deg.

@mseri
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mseri commented Sep 12, 2019

FWIW at the time of doing the other diagrams in Tikz, there was a discussion that ended with an agreement to leave all the diagrams with hand drawn colora out to preserve their unique feel and style.

@XVilka
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XVilka commented Sep 12, 2019

The second variant is clearly better.

@platipo
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platipo commented Sep 12, 2019

In this case I would get rid of the coloring and try to come up with a better symbol for pullback.

In the more complex case I resolved the issue via \rotatebox[origin=c]{-45}{$\lrcorner$}

fixed-TikZ-diagram-complex

FWIW at the time of doing the other diagrams in Tikz, there was a discussion that ended with an agreement to leave all the diagrams with hand drawn colora out to preserve their unique feel and style.

I would gladly do it, there are only 35 diagrams in the whole book!

@BartoszMilewski
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Esthetically, it doesn't look as good as the original. I can't put my finger on it though.

@platipo
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platipo commented Sep 13, 2019

What could be done to improve the diagram? What is it missing from the original one?

@platipo
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platipo commented Sep 13, 2019

Removed the colors this is how it appears in the book:

TikZ-page

and this is the original:

original-page

@XVilka
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XVilka commented Sep 13, 2019

This way it looks more professional, indeed. But the point of highlighting the Arr is lost. Maybe use the bold font for this?

@platipo
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platipo commented Sep 13, 2019 •
edited

I tried some alternatives:

  • Coloured colored

  • Various bold style, just for testing (for clarity I added the bold style in gray)
    bold

  • Both the previous solutions (bold styles order is preserved) bold-colored

  • Single bold style (\symbf)
    singleBold

  • For completeness, colored and single bod style
    colored-singleBold

@BartoszMilewski
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I like the simplest one (no color, no bold) best. Go ahead and make the change.

@platipo
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platipo commented Sep 13, 2019

Do you prefer to embed \tikzpictures instead of \includegraphics or to write external \tikzpictures and insert them with \input?

@BartoszMilewski
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Igal, what do you think?

@platipo
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platipo commented Sep 14, 2019

Using the \input seems more organized to me, but since all the chapters are included with \subfile relative imports don't work indeed you have to type \input{content/N.M/images/image.tizk} in file content/N.M/chapter.tex.

So I'll insert the \tikzpictures directly into chapters.

@platipo
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platipo commented Oct 4, 2019

The work has started, but just to see if we all agree I made a list of all possible images to redraw:

@BartoszMilewski
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Some of these diagrams are just standard diagrams and can be redrawn. But a lot of them don't fit in the mold. The rule of thumb should be that the ones that look 3-dimensional, with shading and little clouds, should be left alone.

@platipo platipo mentioned this issue Oct 4, 2019
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@platipo
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platipo commented Oct 4, 2019

Thank you @BartoszMilewski!

I've opened a draft pull request with 17 diagrams and I'll upload others shortly.

Repository owner deleted a comment from gosciufka Jan 14, 2020
@platipo platipo closed this as completed Jun 25, 2020
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Redraw commutative diagrams with Tikz
4 participants
@XVilka @BartoszMilewski @mseri @platipo