![绘制添加线条和点的正八边形](https://linux22.com/image/432925/%E7%BB%98%E5%88%B6%E6%B7%BB%E5%8A%A0%E7%BA%BF%E6%9D%A1%E5%92%8C%E7%82%B9%E7%9A%84%E6%AD%A3%E5%85%AB%E8%BE%B9%E5%BD%A2.png)
这就是我目前正在尝试绘制的。但是我不知道如何添加紫色线条或绿色点。我可以通过以下方式绘制带有点和外线的正八边形:
\begin{tikzpicture} \newdimen\R
\R=1.3cm
\draw (0:\R) \foreach \x in {45,90,135,180,225,270,315,360} { -- (\x:\R) };
\foreach \x/\l/\p in
{ 45/,
90/,
135/,
180/,
225/,
270/,
315/,
360
}
\node[inner sep=1pt,circle,draw,fill] at (\x:\R) {};
\end{tikzpicture}
但我不确定如何添加其余部分。
答案1
\documentclass[tikz,border=3.14mm]{standalone}
\usetikzlibrary{intersections,backgrounds}
\begin{document}
\tikzset{
summit/.style={inner sep=1pt,outer sep=0pt,circle,fill=black,text=white},
innode/.style={inner sep=1pt,outer sep=0pt,circle,fill=green!50!black,text=white},
outnode/.style={inner sep=1pt,outer sep=0pt,circle,fill=violet,text=white}
}
\begin{tikzpicture}
\newdimen\R
\R=1.3cm
\draw (-22.5:\R) \foreach \x [count=\i] in {0,45,...,315} { -- (\x+22.5:\R) node[summit] (\i) {} };
\node[innode] at (intersection of 1--6 and 5--8) (A) {};
\node[innode] at (intersection of 1--4 and 2--5) (B) {};
\node[outnode] at (intersection of 1--2 and 5--4) (C) {};
\node[outnode] at (intersection of 1--8 and 5--6) (D) {};
\begin{scope}[on background layer]
\draw[green!50!black]
(1) -- (6)
(5) -- (8)
(1) -- (4)
(2) -- (5)
(C) -- (D);
\draw[violet] (C) -- (1) -- (D) -- (5) -- (C);
\end{scope}
\end{tikzpicture}
\end{document}
答案2
仅供比较,以下是元帖子,展示如何绘制多边形,以及如何定义直线交点。
\documentclass[border=5mm]{standalone}
\usepackage{luamplib}
\begin{document}
\mplibtextextlabel{enable}
\begin{mplibcode}
beginfig(1);
path gon; gon = for i=0 upto 7: 42 dir (45i + 45/2) -- endfor cycle;
z1 = whatever[point 0 of gon, point 1 of gon] = whatever[point 3 of gon, point 4 of gon];
z2 = whatever[point 0 of gon, point 3 of gon] = whatever[point 1 of gon, point 4 of gon];
z3 = whatever[point 0 of gon, point 5 of gon] = whatever[point 7 of gon, point 4 of gon];
z4 = whatever[point 0 of gon, point 7 of gon] = whatever[point 5 of gon, point 4 of gon];
drawoptions(withcolor 3/4);
draw z1 -- z4;
draw subpath (1,3) of gon -- point 0 of gon --
subpath (5,7) of gon -- point 4 of gon -- cycle;
drawoptions(withcolor 3/4[red, blue]);
draw point 0 of gon -- z1 -- point 4 of gon -- z4 -- cycle;
drawoptions(withpen pencircle scaled dotlabeldiam);
for i=1 upto 4:
draw point i of gon;
draw point i+4 of gon;
draw z[i] if (i=2) or (i=3): withcolor 1/2 green fi;
endfor
drawoptions();
endfig;
\end{mplibcode}
\end{document}
这被包装在 中luamplib
,因此您需要用 来编译它lualatex
。