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绘制拓扑图并导入 LaTeX

tag-icon • tag-icon tikz-pgf diagrams mathcha
绘制拓扑图并导入 LaTeX

我正在学习点集拓扑课程，由于我使用 LaTeX 做笔记，所以我想要一个软件或应用程序，我可以从中设置拓扑图并将它们导入 LaTeX。 在此处输入图片描述

例如，我如何使用一些在线软件来创建这样的集合。

答案1

您可以使用马查以代码形式导出的编辑器工具TikZ。

\documentclass[a4paper,12pt]{article}
\usepackage{tikz}
\usepackage{graphicx}


\begin{document}
\begin{figure}[h]
\centering
\tikzset{every picture/.style={line width=0.75pt}} %set default line width to 0.75pt        

\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1]
%uncomment if require: \path (0,473); %set diagram left start at 0, and has height of 473

%Shape: Polygon Curved [id:ds062061472047211685] 
\draw  [dash pattern={on 0.84pt off 2.51pt}] (84.88,131.11) .. controls (105.27,98.89) and (176.5,59) .. (259.5,109) .. controls (342.5,159) and (349.88,214.11) .. (310.88,254.11) .. controls (271.88,294.11) and (205.5,283.33) .. (141.5,278.33) .. controls (77.5,273.33) and (127.5,267.33) .. (85.5,234.33) .. controls (43.5,201.33) and (64.5,163.33) .. (84.88,131.11) -- cycle ;
%Shape: Circle [id:dp7561525131166351] 
\draw  [color={rgb, 255:red, 245; green, 166; blue, 35 }  ,draw opacity=1 ][dash pattern={on 1.69pt off 2.76pt}][line width=1.5]  (138.67,205.67) .. controls (138.67,175.48) and (163.14,151) .. (193.33,151) .. controls (223.52,151) and (248,175.48) .. (248,205.67) .. controls (248,235.86) and (223.52,260.33) .. (193.33,260.33) .. controls (163.14,260.33) and (138.67,235.86) .. (138.67,205.67) -- cycle ;
%Straight Lines [id:da9954039611629122] 
\draw    (234.5,170.33) -- (193.33,205.67) ;
%Shape: Circle [id:dp26480619419509255] 
\draw  [fill={rgb, 255:red, 0; green, 0; blue, 0 }  ,fill opacity=1 ] (191.83,204.17) .. controls (191.83,202.23) and (193.4,200.67) .. (195.33,200.67) .. controls (197.27,200.67) and (198.83,202.23) .. (198.83,204.17) .. controls (198.83,206.1) and (197.27,207.67) .. (195.33,207.67) .. controls (193.4,207.67) and (191.83,206.1) .. (191.83,204.17) -- cycle ;
% Text Node
\draw (113,107.4) node [anchor=north west][inner sep=0.75pt]  [font=\LARGE]  {$U$};
% Text Node
\draw (300,264.4) node [anchor=north west][inner sep=0.75pt]  [font=\LARGE]  {$X$};
% Text Node
\draw (174,200.07) node [anchor=north west][inner sep=0.75pt]  [font=\large]  {$x$};
% Text Node
\draw (199,175) node [anchor=north west][inner sep=0.75pt]  [font=\large]  {$\varepsilon $};
% Text Node
\draw (173,236.4) node [anchor=north west][inner sep=0.75pt]    {$B_{\varepsilon }(x)$};
\end{tikzpicture}

\caption{Point set topology.}
\end{figure}
\end{document}

在此处输入图片描述

PS：用户没有最小工作示例。

答案2

您可以尝试使用 Windows 内置的 Paint（或 MSPaint）程序。它不会比手绘花费更多时间，而且结果可以采用多种方便的格式。但我不清楚您希望该程序还能做什么。

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