在乳胶中绘制仿射平面

在乳胶中绘制仿射平面

我试图在 tex 中绘制以下“图形”(仿射平面):

在此处输入图片描述

我做了一些尝试并得到了当前的代码:

\documentclass[letterpaper]{article}

\usepackage{tikz}

\tikzset{
node distance=3cm, % specifies the minimum distance between two nodes. Change if necessary.
every node/.style={circle,thin, fill=black}, % sets the properties for each ’state’ node
}

\begin{document}

\begin{tikzpicture}
    \node[label = $1$] (1) {};
    \node[label = $2$,right of=1] (2) {};
    \node[label = $3$,right of=2] (3) {};
    \node[label = $4$,below of=1] (4) {};
    \node[label = $5$,below of=2] (5) {};
    \node[label = $6$,below of=3] (6) {};
    \node[label = $7$,below of=4] (7) {};
    \node[label = $8$,below of=5] (8) {};
    \node[label = $9$,below of=6] (9) {};
    \draw[-]
    (1) edge[green] (2)
    (2) edge[green] (3)
    (4) edge[red] (5)
    (5) edge[red] (6)
    (7) edge[purple] (8)
    (8) edge[purple] (9)
    (3) edge[yellow] (5)
    (5) edge[yellow] (7)
    (1) edge[gray] (5)
    (5) edge[gray] (9)
    (3) edge[blue] (6)
    (6) edge[blue] (9)
    (1) edge[cyan] (4)
    (4) edge[cyan] (7)
    (2) edge[pink] (5)
    (5) edge[pink] (8)
    (2) edge[dashed] (4)
    (4) edge[dashed, bend right = 50, looseness = 2] (9); 

\end{tikzpicture}

\end{document}

结果如下:

在此处输入图片描述

基本上,我很难弯曲边缘并正确定位标签。提前感谢任何帮助。

答案1

这是一个开始(使用不同的节点样式以避免穿过数字的线条)。

在此处输入图片描述

\documentclass{standalone}

\usepackage{tikz}

\tikzset{
node distance=3cm, % specifies the minimum distance between two nodes. Change if necessary.
every node/.style={circle,thin,draw=black}, % sets the properties for each ’state’ node
}

\begin{document}

\begin{tikzpicture}
    \node(1) {$1$};
    \node[right of=1] (2) {$2$};
    \node[right of=2] (3) {$3$};
    \node[below of=1] (4) {$4$};
    \node[below of=2] (5) {$5$};
    \node[below of=3] (6) {$6$};
    \node[below of=4] (7) {$7$};
    \node[below of=5] (8) {$8$};
    \node[below of=6] (9) {$9$};
    \draw[-]
    (1) edge[green] (2)
    (2) edge[green] (3)
    (4) edge[red] (5)
    (5) edge[red] (6)
    (7) edge[purple] (8)
    (8) edge[purple] (9)
    (3) edge[yellow] (5)
    (5) edge[yellow] (7)
    (1) edge[gray] (5)
    (5) edge[gray] (9)
    (3) edge[blue] (6)
    (6) edge[blue] (9)
    (1) edge[cyan] (4)
    (4) edge[cyan] (7)
    (2) edge[pink] (5)
    (5) edge[pink] (8)
    (2) edge[dashed] (4)
    (4) edge[dashed, out=225, in=225, looseness=2] (9); 

\end{tikzpicture}

\end{document}

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