%%
%% example-cube.tex
%% package example using the rubikcube package
%% Requires the tikz package
%% January 20, 2014
%%--------NOTE-------------------------------------------
%% USAGE:   (pdf)latex    example-cube.tex
%%-------------------------------------------------------
\documentclass[a4paper]{article}
\usepackage{tikz}   %% load tikz before rubikcube
\usepackage{rubikcube} 
\usepackage{url}
\pagestyle{myheadings}
\markright{\textsc{rubikcube} package; \hspace{2cm}file = example-cube.tex}
%% increase textwidth to make room 
\addtolength{\oddsidemargin}{-1.5cm}
\addtolength{\textwidth}{3cm}
%% brace and bracket 
\newcommand{\Rubikbracket}[1]{$\left(\mbox{#1}\right)$}
\newcommand{\Rubikbrace}[1]{$\left\{\mbox{#1}\right\}$}
%%
\begin{document}
%%-------------------------
\subsection*{Example---the `superflip' configuration}

Once you have mastered Rubik's cube, then an interesting exercise is to generate 
the so-called `superflip' configuration, in which all the corners are correctly 
solved, while all the edges are flipped.

For the impatient,  the  superflip sequence of 24  quarter-turn rotations (listed on Randelshofer's website) is as follows. This  converts the solved cube on the left into the configuration shown on the right.

\bigskip

\begin{center}
\RubikU\RubikR\RubikR\RubikFp\RubikR\RubikDp\RubikL\RubikBp\RubikR%
\RubikUp\RubikR\RubikUp\RubikD\RubikFp\RubikU\RubikFp\RubikUp\RubikDp%
\RubikB\RubikLp\RubikFp\RubikBp\RubikDp\RubikLp
\end{center}

\medskip

{\noindent}Surprisingly,  this sequence is actually equivalent to
\Rubikbrace{\Rubikbracket{\RubikM\RubikUp}4, \Rubiky, \Rubikxp}3


\bigskip
\begin{figure}[hbt]
\centering
\RubikCubeSolved%
\begin{minipage}{2cm}
  \begin{tikzpicture}[scale=0.5]
  \DrawRubikCubeRU
  \end{tikzpicture}
\end{minipage}
\hspace{5mm}$\Longrightarrow$\hspace{5mm}%
\RubikFaceUp   {W}{R}{W} {B}{W}{G} {W}{O}{W}%
\RubikFaceDown {Y}{O}{Y} {B}{Y}{G} {Y}{R}{Y}%
\RubikFaceLeft {B}{W}{B} {R}{B}{O} {B}{Y}{B}%
\RubikFaceRight{G}{W}{G} {O}{G}{R} {G}{Y}{G}%
\RubikFaceFront{O}{W}{O} {B}{O}{G} {O}{Y}{O}%
\RubikFaceBack{R}{W}{R}
              {G}{R}{B}
              {R}{Y}{R}%
\begin{minipage}{2cm}
  \begin{tikzpicture}[scale=0.5]
  \DrawRubikCubeRU
  \end{tikzpicture}
\end{minipage}
\hspace{1cm}%
\begin{minipage}{5cm}
  \begin{tikzpicture}[scale=0.5]
  \DrawRubikCubeFlat
  \end{tikzpicture}
\end{minipage}
\caption{Two images of the superflip configuration.}
\end{figure}

The code for all this is given below---note that the facelet colours can be 
written in various ways. Note also the trailing \% at the end of each line which is not inside  a TikZ picture environment, and the value of placing each TikZ picture environment inside a minipage.
Since the default width of a Rubik cube is 4cm (see \S\,7 Fig~2 in \texttt{rubikcube.pdf}), then since the TikZ scale here is 0.5 then the required  width of its minipage is equal to $0.5 \times 4\mbox{cm} = 2\mbox{cm}$.
%%----------
\begin{verbatim}
-------------------
\newcommand{\Rubikbracket}[1]{$\left(\mbox{#1}\right)$}
\newcommand{\Rubikbrace}[1]{$\left\{\mbox{#1}\right\}$}

\begin{center}
\RubikU\RubikR\RubikR\RubikFp\RubikR\RubikDp\RubikL\RubikBp\RubikR%
\RubikUp\RubikR\RubikUp\RubikD\RubikFp\RubikU\RubikFp\RubikUp\RubikDp%
\RubikB\RubikLp\RubikFp\RubikBp\RubikDp\RubikLp
\end{center}

\medskip

{\noindent}Surprisingly,  this sequence is actually equivalent to
\Rubikbrace{\Rubikbracket{\RubikM\RubikUp}4, \Rubiky, \Rubikxp}3

\bigskip 

\begin{figure}[hbt]
\centering
\RubikCubeSolved
\begin{minipage}{2cm}
  \begin{tikzpicture}[scale=0.5]
  \DrawRubikCubeRU
  \end{tikzpicture}
\end{minipage}
\hspace{5mm}$\Longrightarrow$\hspace{5mm}%
\RubikFaceUp   {Y}{B}{Y} {R}{Y}{O} {Y}{G}{Y}%
\RubikFaceDown {W}{G}{W} {R}{W}{O} {W}{B}{W}%
\RubikFaceLeft {R}{Y}{R} {B}{R}{G} {R}{W}{R}%
\RubikFaceRight{O}{Y}{O} {G}{O}{B} {O}{W}{O}%
\RubikFaceFront{G}{Y}{G} {R}{G}{O} {G}{W}{G}%
\RubikFaceBack {B}{Y}{B}%
               {O}{B}{R}%
               {B}{W}{B}%
\begin{minipage}{2cm}
  \begin{tikzpicture}[scale=0.5]
  \DrawRubikCubeRU
  \end{tikzpicture}
\end{minipage}
\hspace{1cm}%
\begin{minipage}{5cm}
  \begin{tikzpicture}[scale=0.5]
  \DrawRubikCubeFlat
  \end{tikzpicture}
\end{minipage}
\caption{Two images of the superflip configuration.}
\end{figure}
-------------------
\end{verbatim}


\subsection*{Using the rubikrotation package}

This is just a note to show that if this file were run in conjunction with the \texttt{rubikrotation} package, using the \LaTeX\ commandline switch  \texttt{--shell-escape}, then the above figure could be generated more simply by replacing
\begin{verbatim}
\RubikFaceUp   {Y}{B}{Y} {R}{Y}{O} {Y}{G}{Y}%
\RubikFaceDown {W}{G}{W} {R}{W}{O} {W}{B}{W}%
\RubikFaceLeft {R}{Y}{R} {B}{R}{G} {R}{W}{R}%
\RubikFaceRight{O}{Y}{O} {G}{O}{B} {O}{W}{O}%
\RubikFaceFront{G}{Y}{G} {R}{G}{O} {G}{W}{G}%
\RubikFaceBack {B}{Y}{B}%
               {O}{B}{R}%
               {B}{W}{B}%
\end{verbatim}
with the command
\begin{verbatim}
\RubikRotation{\superflip}%
\end{verbatim}
ie,~using instead the following code:
\begin{verbatim}
-----------------
\newcommand{\superflip}{U,R2,Fp,R,Dp,L,Bp,R,Up,R,Up,D,%
Fp,U,Fp,Up,Dp,B,Lp,Fp,Bp,Dp,Lp}

\begin{figure}[hbt]
\centering
\RubikCubeSolved%
\begin{minipage}{2cm}
  \begin{tikzpicture}[scale=0.5]
  \DrawRubikCubeRU
  \end{tikzpicture}
\end{minipage}
\hspace{5mm}$\Longrightarrow$\hspace{5mm}%
\RubikRotation{\superflip}%
\begin{minipage}{2cm}
  \begin{tikzpicture}[scale=0.5]
  \DrawRubikCubeRU
  \end{tikzpicture}
\end{minipage}
\hspace{1cm}%
\begin{minipage}{5cm}
  \begin{tikzpicture}[scale=0.5]
  \DrawRubikCubeFlat
  \end{tikzpicture}
\end{minipage}
\caption{Two images of the superflip configuration.}
\end{figure}
-----------------
\end{verbatim}


\begin{center}
------ END ------
\end{center}

\end{document}