\documentclass[a4paper,UTF8]{article}
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\usepackage{tkz-euclide}
%\usetkzobj{all}
\usepackage{tikz,rubikcube,rubikrotation,rubikpatterns}

\def\degree{^\\circ}
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\begin{document}
	\begin{CJK}{UTF8}{gbsn}
		\section{魔方操作的基本单位}
		\begin{figure}[htb]
			\centering%
			\RubikFaceUpAll{W}
			\RubikFaceFrontAll{O}
			\RubikFaceRightAll{G}
			\ShowCubeF{5cm}{0.6}{%
				\DrawRubikCubeRU%
				%% Right
				\draw[line width=2pt,color=blue,->] (3.5,2) -- (5.3, 2);
				\node (R) at (4.6, 2.5)
				[blue]{\textbf{\textsf{R}}};
				\node (x) at (5.8, 2)
				[blue]{\textbf{\textsf{x}}};
				%%Left
				\draw[line width=2pt,color=blue] (-0.2,2) -- (-1.5, 2);
				\node (L) at (-1.1, 2.5)
				[blue]{\textbf{\textsf{L}}};
				%%Up
				\draw[line width=2pt,color=blue,->] (2, 3.5) -- (2, 5.5);
				\node (U) at (1.4, 4.7)
				[blue]{\textbf{\textsf{U}}};
				\node (y) at (2, 6.1)
				[blue]{\textbf{\textsf{y}}};
				%%Down
				\draw[line width=2pt,color=blue] (2, -0.2) -- (2, -1.5);
				\node (D) at (2.6, -1.1)
				[blue]{\textbf{\textsf{D}}};
				%%Front
				\draw[line width=2pt,color=blue,->] (1.5, 1.5) -- (0, -1);
				\node (F) at (0.7, -0.7)
				[blue]{\textbf{\textsf{F}}};
				\node (z) at (-0.3, -1.4)
				[blue]{\textbf{\textsf{z}}};
				%%Back
				\draw[line width=2pt,color=blue] (3.2, 4.2) -- (4, 5.5);
				\node (B) at (4.4, 5)
				[blue]{\textbf{\textsf{B}}};
			}
		\end{figure}
		\begin{center}
			\newcommand{\StripesL}{%
				[StripesOrtho],L,<Harris 2008, p150>}
			\RubikCubeSolvedWY
			\ShowCube{2cm}{0.5}{\DrawRubikCubeRU}
			\RubikCubeSolved
			\RubikRotation{\StripesL}
			\ShowSequence{}{\Rubik}{\SequenceLong}
			\ShowCube{2.6cm}{0.6}{\DrawRubikCubeSF}
		\end{center}
		\begin{center}
			\newcommand{\StripesRmp}{%
				[StripesOrtho],Rmp,<Harris 2008, p150>}
			\RubikCubeSolvedWY
			\ShowCube{2cm}{0.5}{\DrawRubikCubeRU}
			\RubikCubeSolved
			\RubikRotation{\StripesRmp}
			\ShowSequence{}{\Rubik}{\SequenceLong}
			\ShowCube{2.6cm}{0.6}{\DrawRubikCubeSF}
		\end{center}
		\begin{center}
			\newcommand{\StripesRp}{%
				[StripesOrtho],Rp,<Harris 2008, p150>}
			\RubikCubeSolvedWY
			\ShowCube{2cm}{0.5}{\DrawRubikCubeRU}
			\RubikCubeSolved
			\RubikRotation{\StripesRp}
			\ShowSequence{}{\Rubik}{\SequenceLong}
			\ShowCube{2.6cm}{0.6}{\DrawRubikCubeSF}
		\end{center}
		\begin{center}
		\newcommand{\StripesU}{%
			[StripesOrtho],U,<Harris 2008, p150>}
		\RubikCubeSolvedWY
		\ShowCube{2cm}{0.5}{\DrawRubikCubeRU}
		\RubikCubeSolved
		\RubikRotation{\StripesU}
		\ShowSequence{}{\Rubik}{\SequenceLong}
		\ShowCube{2.6cm}{0.6}{\DrawRubikCubeSF}
		\end{center}
		\begin{center}
		\newcommand{\StripesUm}{%
			[StripesOrtho],Um,<Harris 2008, p150>}
		\RubikCubeSolvedWY
		\ShowCube{2cm}{0.5}{\DrawRubikCubeRU}
		\RubikCubeSolved
		\RubikRotation{\StripesUm}
		\ShowSequence{}{\Rubik}{\SequenceLong}
		\ShowCube{2.6cm}{0.6}{\DrawRubikCubeSF}
		\end{center}
		\begin{center}
		\newcommand{\StripesD}{%
			[StripesOrtho],D,<Harris 2008, p150>}
		\RubikCubeSolvedWY
		\ShowCube{2cm}{0.5}{\DrawRubikCubeRU}
		\RubikCubeSolved
		\RubikRotation{\StripesD}
		\ShowSequence{}{\Rubik}{\SequenceLong}
		\ShowCube{2.6cm}{0.6}{\DrawRubikCubeSF}
		\end{center}
		\begin{center}
		\newcommand{\StripesB}{%
			[StripesOrtho],B,<Harris 2008, p150>}
		\RubikCubeSolvedWY
		\ShowCube{2cm}{0.5}{\DrawRubikCubeRU}
		\RubikCubeSolved
		\RubikRotation{\StripesB}
		\ShowSequence{}{\Rubik}{\SequenceLong}
		\ShowCube{2.6cm}{0.6}{\DrawRubikCubeSF}
		\end{center}
		\begin{center}
		\newcommand{\StripesBm}{%
			[StripesOrtho],Bm,<Harris 2008, p150>}
		\RubikCubeSolvedWY
		\ShowCube{2cm}{0.5}{\DrawRubikCubeRU}
		\RubikCubeSolved
		\RubikRotation{\StripesBm}
		\ShowSequence{}{\Rubik}{\SequenceLong}
		\ShowCube{2.6cm}{0.6}{\DrawRubikCubeSF}
		\end{center}
		\begin{center}
		\newcommand{\StripesF}{%
			[StripesOrtho],F,<Harris 2008, p150>}
		\RubikCubeSolvedWY
		\ShowCube{2cm}{0.5}{\DrawRubikCubeRU}
		\RubikCubeSolved
		\RubikRotation{\StripesF}
		\ShowSequence{}{\Rubik}{\SequenceLong}
		\ShowCube{2.6cm}{0.6}{\DrawRubikCubeSF}
		\end{center}
		\newpage
		\section{还原魔方的主要操作 (以两个为例)}
		在还原魔方的过程中一般有三步, 以下为其中的两步. 这里 $'$ 表示对操作取逆, 比如 $R'$ 表示 $R$ 的逆, ``逆''表示操作的方向是逆过来的, 顺时针的操作取逆表示逆时针的操作. 如此来看, 以下的操作分别有数学公式表示. 从数学公式表示中可以看出, 魔方还原的基本过程用到了对 ``换位子'' (即 $a^{-1}b^{-1}ab$) 和 ``相似'' (即 $p^{-1}ap$) 进行复合操作.
		\subsection{只改变顶层区块的操作}
		\newcommand{\CycleThreeEdgesFlipTwo}{F,R,U,Rp,Up,Fp}
		\begin{center}
			\RubikCubeSolved%
			\ShowCube{2cm}{0.4}{\DrawRubikCubeRU}%
			\quad\ShowCube{2.3cm}{0.4}{%
				\DrawRubikFaceUpSide%
				\draw[thick,->,color=magenta] (1.5,0.5) -- (2.4, 1.4);
				\draw[thick,->] (2.5,1.5) -- (1.6, 2.4);
				\draw[thick,->,color=magenta] (1.3, 2.3) -- (1.3, 0.5);
				\draw[thick,<->,
				color=blue] (0.5,2.6) -- (2.5, 2.6);
				\draw[thick,<->,
				color=blue] (0.5,0.3) -- (2.5, 0.3);
			}%
			\RubikRotation{\CycleThreeEdgesFlipTwo}%
			\quad\ShowSequence{}{\Rubik}{\SequenceLong}\quad$\longrightarrow$\quad%
			\ShowCube{2.3cm}{0.4}{\DrawRubikFaceUpSide}%
		\end{center}
		\begin{center}
			\newcommand{\StripesOrtho}{%
				[StripesOrtho],F,R,U,Rp,Up,Fp,<Harris 2008, p150>}
			\RubikCubeSolvedWY
			\ShowCube{2cm}{0.5}{\DrawRubikCubeRU}
			\RubikCubeSolved
			\RubikRotation{\StripesOrtho}
			\ShowSequence{}{\Rubik}{\SequenceLong}\quad$\longrightarrow$\quad%
			\ShowCube{2.6cm}{0.6}{\DrawRubikCubeSF}
		\end{center}
		\[
			\boxed{F\boxed{RUR^{-1}U^{-1}}F^{-1}}
		\]
		\subsection{只改变底层中间三个区块的操作}
		\newcommand{\CycleThreeEdgesFlipMidd}{Rm,U,Rmp,Up,Up,Rm,U,Rmp}
		\begin{center}
			\RubikCubeSolved%
			\ShowCube{2cm}{0.4}{\DrawRubikCubeRU}%
			\quad\ShowCube{2.3cm}{0.4}{%
				\DrawRubikFaceUpSide%
				\draw[thick,->,color=green] (2.6, 1.4) -- (0.2,1.4);
				\draw[thick,->,color=red] (1.6, 2.4) -- (2.5,1.5);
				\draw[thick,->,color=blue] (0.6, 1.4) -- (1.4, 2.4);
			}%
			\RubikRotation{\CycleThreeEdgesFlipMidd}%
			\quad\ShowSequence{}{\Rubik}{\SequenceLong}\quad$\longrightarrow$\quad%
			\ShowCube{2.3cm}{0.4}{\DrawRubikFaceUpSide}%
		\end{center}
		\begin{center}
			\newcommand{\StripesMidd}{%
				[StripesOrtho],Rm,U,Rmp,Up,Up,Rm,U,Rmp,<Harris 2008, p150>}
			\RubikCubeSolvedWY
			\ShowCube{2cm}{0.5}{\DrawRubikCubeRU}
			\RubikCubeSolved
			\RubikRotation{\StripesMidd}
			\ShowSequence{}{\Rubik}{\SequenceLong}\quad$\longrightarrow$\quad%
			\ShowCube{2.6cm}{0.6}{\DrawRubikCubeSF}
		\end{center}
		\[
			\boxed{R_m\boxed{UR_m^{-1}U^{-1}}\cdot\boxed{U^{-1}R_mU}R_m^{-1}}
		\]
		
	\end{CJK}
\end{document}