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带角度标签的不规则多边形

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带角度标签的不规则多边形

我希望创建下面的 15 边不规则多边形，而不必声明每个点的坐标。

带角的 15 边不规则多边形

有没有更简单的方法可以做到这一点？Tikz？PGF？

答案1

以下是根据内角列表绘制此多边形的方法。关键点是命令\pgfextra{...}，它允许您在不中断路径构建的情况下执行代码，以及环境内\path带有关键字的命令，用于查找最终角。name pathpgfinterruptboundingbox

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{shapes.geometric, intersections}

\begin{document}
\begin{tikzpicture}
\def\totalangle{0}
\draw (0,0) -- (0:1cm) \foreach \angle in {152,165,167,160,160,150,150,150,170,145,170,155,170,155}{ 
    \pgfextra{  % Calculate the current direction
        \pgfmathparse{180-\angle+\totalangle}
        \xdef\totalangle{\pgfmathresult}
    }
 -- ++(\totalangle:1cm) node [pos=0, circle, anchor=(\totalangle+\angle/2+180), inner sep=0pt] {$\angle^\circ$}
} coordinate (final);

\pgfmathsetmacro\unknownangle{\totalangle-180}

% The final point is on the intersection between the extensions of the first and last segments.
% Interrupt the bounding box, so we can use long paths for finding the intersection.
\begin{pgfinterruptboundingbox}
    \path [name path global=horizontal] (-20cm,0pt) -- (20cm,0pt);
    \path [name path global=lastsegment] (final) -- +(\totalangle:30cm);
\end{pgfinterruptboundingbox}

\draw [name intersections={of=horizontal and lastsegment}]
    (final) -- (intersection-1)
    node [anchor=south west] {$x$}
    -- (0,0);
\end{tikzpicture}
\end{document}

答案2

以下是改编循环序列图（tikz？）这将适应任何根据提供的标签数量确定段数。

在此处输入图片描述

代码：

\documentclass{article}
\usepackage{tikz}
\usepackage{xstring}

% https://tex.stackexchange.com/questions/21559/macro-to-access-a-specific-member-of-a-list/21560#21560
\newcommand*\GetListMember[2]{\StrBetween[#2,\number\numexpr#2+1]{,#1,},,\par}%

\newlength{\MidRadius}
\newcommand{\LastAngle}{}%
\newcommand*{\CircularSequence}[3]{%
    % #1 = outer circle radius
    % #2 = inner circle radius
    % #3 = seqeunce
    \StrCount{#3}{,}[\NumberOfElements]
    \pgfmathsetmacro{\AngleSep}{360/(\NumberOfElements+1)}
    \pgfmathsetlength{\MidRadius}{(#1+#2)/2}
    \foreach [count = \Count] \Angle in {0,\AngleSep,..., 360} {%
        \IfStrEq{\LastAngle}{}{}{%
            \draw [blue, ultra thick] (\LastAngle:#1) -- (\Angle:#1);
        }%
        \xdef\LastAngle{\Angle}% Save it so we can access it next iteration
        \pgfmathsetmacro{\MidPoint}{\Angle+\AngleSep/2}
        \node at (\MidPoint:\MidRadius) {\GetListMember{#3}{\Count}};
    }%
}%
\begin{document}
\begin{tikzpicture}
    \CircularSequence{4.0cm}{3.0cm}{170,155,170,165,$x$,163,155,167,170,160,140,150,172,170,145}
\end{tikzpicture}
\end{document}

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