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diff --git a/Master/texmf-dist/doc/latex/rubik/example-cube.tex b/Master/texmf-dist/doc/latex/rubik/example-cube.tex new file mode 100644 index 00000000000..e923c805c9a --- /dev/null +++ b/Master/texmf-dist/doc/latex/rubik/example-cube.tex @@ -0,0 +1,188 @@ +%% +%% 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}
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