CantorCube.tex

%参考：https://tex.stackexchange.com/questions/383399/tikz-fractal-menger-sponge

\documentclass{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\cantorcube命令
\newcommand\cantorcube[1]{
  \pgfmathsetmacro\level{int(#1 - 1)}
  \ifnum \level = 0 \relax
  \shadedraw[right color = thirdcolor,left color = thirdcolor!90,line width=0,draw = fillcolor]
  	(1,1,1) -- (1,1,-1) -- (1,-1,-1) -- (1,-1,1) -- cycle; %右
  \shadedraw[right color = boundarycolor,left color = boundarycolor!90 ,line width=0,draw = fillcolor]
  	(1,1,1) -- (1,1,-1) -- (-1,1,-1) -- (-1,1,1) -- cycle; %上
  \shadedraw[right color = boundarycolor!50, left color = fillcolor!90,line width=0,draw = fillcolor]
  	(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)}]
  		\cantorcube{\level}
  	\end{scope}
  	\begin{scope}[shift={(2, -2, -2)}]
  		\cantorcube{\level}
  	\end{scope}
  	\begin{scope}[shift={(-2, 2, -2)}]
  		\cantorcube{\level}
  	\end{scope}
  	\begin{scope}[shift={(2, 2, -2)}]
  		\cantorcube{\level}
  	\end{scope}
  	\begin{scope}[shift={(-2, -2, 2)}]
  		\cantorcube{\level}
  	\end{scope}
  	\begin{scope}[shift={(2, -2, 2)}]
  		\cantorcube{\level}
  	\end{scope}
  	\begin{scope}[shift={(-2, 2, 2)}] 
  		\cantorcube{\level}
  	\end{scope}
  	\begin{scope}[shift={(2, 2, 2)}]
  		\cantorcube{\level}
  	\end{scope}
\end{scope}
\fi
}

\begin{document}
	\begin{tikzpicture}
		\cantorcube{2}
	\end{tikzpicture}
\end{document}