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在 tex 中绘制交换图

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在 tex 中绘制交换图

我想在 Latex 中绘制下面的图表，谢谢。在此处输入图片描述

答案1

您可能想了解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}

唯一的技巧是稍后（并且朝相反方向）绘制“g”箭头，以便它能够正确地跨越如果“g”箭头从“A”而不是“C”开始则稍后绘制的“k'”箭头。

在此处输入图片描述

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