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编辑

tag-icon • tag-icon tikz-pgf path-clipping
编辑

这是一个示例文档和我从中获得的输出。

\documentclass[convert={size=480}]{standalone}

\usepackage{tikz}

\tikzset{ little circle/.style = { fill = black,
                                   shape = circle,
                                   minimum size = 1.5mm,
                                   inner sep = 0mm,
                                   outer sep = 0mm},
          concentric circles/.style = {draw = gray!90, very thick}}

\begin{document}

\begin{tikzpicture}
    \def\concentriccircles{\foreach \r in {1.5, ..., 19} {circle (\r mm)};}
    \foreach \name/\x/\y in {A/8/30, B/16/-24, C/-30/8} {
        \node [little circle] (\name) at (\x mm, \y mm) {};
    }
    \node [little circle] (P) at (barycentric cs:A=1,B=1,C=1) {};
    \foreach \name/\origin/\destination in {H/A/B, J/B/C, K/C/A} {
        \path (\origin) -- (\destination) coordinate [midway] (\name);
        \path (P) -- (\name) node [pos = 1.6, little circle] (\name 2) {};
    }
    \draw [concentric circles] (P) \concentriccircles;
    \foreach \x/\y/\v/\c in {A/B/H/green, B/C/J/red, C/A/K/blue} {
        \begin{scope}
            \clip (\x) .. controls (P) .. (\y) -- (\v 2) -- (\x); % (*)
            \draw [concentric circles, draw = \c] (P) \concentriccircles;
        \end{scope}
    }
    \begin{scope}[very thick]
        \foreach \x/\y/\c in {A/B/red, B/C/blue, C/A/green} {
            \draw [\c] (\x) .. controls (P) .. (\y);
        }
    \end{scope}
    \begin{scope}[very thick, red]
        \path [use as bounding box];
        \clip (A) circle [radius = 25mm];
        \draw (A) .. controls (P) .. (B);
    \end{scope}
\end{tikzpicture}

\end{document}

我不明白为什么剪辑区域不包括三角形(A, B, H2)（(B, C, J2)和(C, A, K2)）。您可以看到它确实如此，因为 A 和 B（B 和 C，C 和 A）之间的线以外的同心圆仍然是灰色的。

编辑

draw如果您将选项添加到\clip命令中，它看起来会是这样的(*)。

答案1

如果你用节点构建一条路径，TikZ 会把这条路径切成几段以避免节点的内容。

要构建封闭的剪切路径，请使用坐标而不是节点...或者使用，，，\x.center等。\y.center\v 2.center

在此处输入图片描述

\documentclass[convert={size=480}]{standalone}

\usepackage{tikz}

\tikzset{ little circle/.style = { fill = black,
                                   shape = circle,
                                   minimum size = 1.5mm,
                                   inner sep = 0mm,
                                   outer sep = 0mm},
          concentric circles/.style = {draw = gray!90, very thick}}

\begin{document}

\begin{tikzpicture}
    \def\concentriccircles{\foreach \r in {1.5, ..., 19} {circle (\r mm)};}
    \foreach \name/\x/\y in {A/8/30, B/16/-24, C/-30/8} {
        \node [little circle] (\name) at (\x mm, \y mm) {};
    }
    \node [little circle] (P) at (barycentric cs:A=1,B=1,C=1) {};
    \foreach \name/\origin/\destination in {H/A/B, J/B/C, K/C/A} {
        \path (\origin) -- (\destination) coordinate [midway] (\name);
        \path (P) -- (\name) node [pos = 1.6, little circle] (\name 2) {};
    }
    \draw [concentric circles] (P) \concentriccircles;
    \foreach \x/\y/\v/\c in {A/B/H/green, B/C/J/red, C/A/K/blue} {
        \begin{scope}
            \clip (\x.center) .. controls (P.center) .. (\y.center)
            -- (\v 2.center) -- cycle; % (*)
            \draw [concentric circles, draw = \c] (P) \concentriccircles;
        \end{scope}
    }
    \begin{scope}[very thick]
        \foreach \x/\y/\c in {A/B/red, B/C/blue, C/A/green} {
            \draw [\c] (\x) .. controls (P) .. (\y);
        }
    \end{scope}
    \begin{scope}[very thick, red]
        \path [use as bounding box];
        \clip (A) circle [radius = 25mm];
        \draw (A) .. controls (P) .. (B);
    \end{scope}
\end{tikzpicture}

\end{document}

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