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MengerSponge.tex
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%参考：https://tex.stackexchange.com/questions/383399/tikz-fractal-menger-sponge
\documentclass[tikz]{standalone}
%package
\usepackage{luatex85}
\usepackage{tikz}
%定义颜色
\definecolor{boundarycolor}{cmyk}{1,0,0,0}%Cyan
\definecolor{thirdcolor}{cmyk}{0.82,0.00,0.04,0.30}%LightSeaGreen
\definecolor{fillcolor}{cmyk}{0.12,0,0,0}%LightCyan
%定义\mengersponge命令
\newcommand\mengersponge[1]{
\pgfmathsetmacro\level{int(#1 - 1)}
\ifnum \level = 0 \relax
\filldraw[thirdcolor,line width=0] (1, 1, 1) -- (1, 1, -1) -- (1, -1, -1) -- (1, -1, 1) -- cycle; %右
\filldraw[boundarycolor,line width=0] (1, 1, 1) -- (1, 1, -1) -- (-1, 1, -1) -- (-1, 1, 1) -- cycle; %上
\filldraw[boundarycolor!60,line width=0] (1, 1, 1) -- (1, -1, 1) -- (-1, -1, 1) -- (-1, 1, 1) -- cycle; %正
\else
\begin{scope}[scale=.3333333333]
\begin{scope}[shift={(-2, -2, -2)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(0, -2, -2)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(2, -2, -2)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(-2, 0, -2)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(2, 0, -2)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(-2, 2, -2)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(0, 2, -2)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(2, 2, -2)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(-2, -2, 0)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(2, -2, 0)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(-2, 2, 0)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(2, 2, 0)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(-2, -2, 2)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(0, -2, 2)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(2, -2, 2)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(-2, 0, 2)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(2, 0, 2)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(-2, 2, 2)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(0, 2, 2)}]
\mengersponge{\level}
\end{scope}
\begin{scope}[shift={(2, 2, 2)}]
\mengersponge{\level}
\end{scope}
\end{scope}
\fi
}
\begin{document}
\begin{tikzpicture}
\mengersponge{2}
\end{tikzpicture}
\end{document}