Diagram of field theory

Question

I want to write this picture in LaTeX, what is the code?

you are really mis-using this site, you can not keep posting pictures and asking people to code them for you. Try coding them and if you get a tex error post your code and ask for tex help — David Carlisle, Oct 21 '19 at 18:46
Is your problem solved? If yes, then accept one of the provided answers. — Dr. Manuel Kuehner, Jun 02 '20 at 20:24

score 5 · Answer 1 · answered Oct 21 '19 at 19:00

Using tikz:

\documentclass[border=2mm]{standalone}
\usepackage{tikz}
\usepackage{amssymb}

\begin{document}

    \begin{tikzpicture}

    \node (Q1) at (0,0) {$\mathbb{Q}$};
    \node (Q2) at (2,2) {$\mathbb{Q}\Big[\sqrt{2}\Big]$};
    \node (Q3) at (0,4) {$\mathbb{Q}\Big[\sqrt[3]{2} \, ; \sqrt{2}\Big]$};
    \node (Q4) at (-2,2) {$\mathbb{Q}\Big[\sqrt[3]{2}\Big]$};

    \draw (Q1)--(Q2) node [pos=0.7, below,inner sep=0.25cm] {2};
    \draw (Q1)--(Q4) node [pos=0.7, below,inner sep=0.25cm] {3};
    \draw (Q3)--(Q4);
    \draw (Q2)--(Q3);
    \draw (Q1)--(Q3);

    \end{tikzpicture}

\end{document}

Welcome back and I'm happy :-) You have my approval for your answer given. — Sebastiano, Oct 21 '19 at 19:11

score 4 · Answer 2 · answered Oct 21 '19 at 19:50

4

I use instead....xy package... to draw the image of the user. I put a screenshot of my MWE.

\documentclass[12pt]{article}
\usepackage{amsmath,amssymb}
\usepackage[all]{xy}

\begin{document}

\[
\xymatrix@R+1.5pc@C-0.3pc{
    &\mathbb{Q}[\sqrt[3]{2};\sqrt{2}]\ar@{-}[ld]\ar@{-}[rd] \ar@{-}[dd]\\
    \mathbb{Q}[\sqrt[3]{2}] \ar@{-}[rd]_3 &&\mathbb{Q}[\sqrt{2}]\ar@{-}[ld]^2\\
    & \mathbb{Q} & 
}
\]
\end{document}

The lines are straight and is only an optical effect of the Papeeria display.

answered Oct 21 '19 at 19:50

Sebastiano

54,118

1

@down-voter: What is the reason, please, of the downvote for me, Zarko and Milo? – Sebastiano Oct 21 '19 at 20:20
1

One reason could be that if you downvote three times you are harder to spot. Downvoting at the beginning of the week is dangerous since you can be identified rather easily unless you take some precautions. (Needless to say that it wasn't me.) – Oct 21 '19 at 21:32

Zarko · Answer 3 · 2019-10-21T19:51:46.663

With use of the tikzcd package:

\documentclass[border=32mm]{standalone}
\usepackage{amssymb}
\usepackage{tikz-cd}

\begin{document}
    \begin{tikzcd}[row sep=huge]
    & \mathbb{Q}\Bigl[\sqrt[3]{2} \, ; \sqrt{2}\Bigr] 
      \ar[dl,-]\ar[dd,-]\ar[dr,-]     &                          \\
\mathbb{Q}\Bigl[\sqrt[3]{2}\Bigr]\ar[dr,"3" ',-]
    &                           & \mathbb{Q}\Bigl[\sqrt{2}\Bigr]
                                  \ar[dl,"2",-]               \\  
    & \mathbb{Q}                &
    \end{tikzcd}
\end{document}

score 3 · Answer 4 · answered Oct 21 '19 at 20:14

With tikz-cd:

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

\begin{document}

\begin{tikzcd}[arrows=dash, row sep=3.5em, column sep=1.5em]
& \mathbb{Q}\Bigl[\sqrt[3]{2},\sqrt{2}\Bigr] \dlar\arrow[dd] \drar\\
\mathbb{Q}\Bigl[\sqrt[3]{2}\Bigr] \drar["\textstyle 3",swap]& & \mathbb{Q}\Bigl[\sqrt{2}\Bigr]\dlar["\textstyle 2"]\\
& \mathbb{Q}
\end{tikzcd}

\end{document}

Diagram of field theory

4 Answers4

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