path: root/macros/latex/contrib/rubik/rubikpatternsLIST.tex

%%
%% rubikpatternsLIST.tex  
%% part of the rubikpatterns package v5.0
%% authors: RWD Nickalls & A Syropoulos
%%  25 February 2018
%%  Rubik bundle v5.0
%%------------------------
%% this file requires the rubikrotation and rubkpatterns packages
%% run this file as : $ pdflatex  --shell-escape  rubikpatternsLIST.tex
%%------------------------

\documentclass[a4paper]{article}

\usepackage{tikz}
\usepackage{rubikcube,rubikrotation,rubikpatterns} 

%--------------------------
\usepackage{url,ifpdf}
%---------------------
\ifpdf
  \usepackage[verbose]{microtype}
  \usepackage{cmap}
  \usepackage[pdfencoding=auto]{hyperref}

  \hypersetup{%
     pdftitle={rubikpatternsLIST.pdf},
     pdfsubject={Rubik cube, Rubik bundle},
     pdfkeywords={Rubik cube LaTeX}
     }
\fi
%%------------------
\pagestyle{myheadings}
\markright{\texttt{rubikpatternsLIST.pdf} \ (Rubik bundle v5.0) \ \texttt{www.ctan.org/pkg/rubik}}
%-------------------------------------
%% need to use a negthinspace $\!$  before \ShowSequence
%% to adjust for the first [ char in the cs string
%% this makes the first line align correctly
\newcommand{\ShowPattern}[1]{%
\noindent%
  \RubikCubeSolvedWB
  \RubikRotation{#1}
  \ShowCube{2.4cm}{0.6}{\DrawRubikCubeRU}
  \hspace{0.5cm}% was 1cm
\begin{minipage}{9cm}
\noindent$\!$\ShowSequence{,\ }{\texttt}{\SequenceShort},
\newline\noindent\texttt{\SequenceInfo}.
\end{minipage}
}

%======================
\begin{document}


\ifpdf\pdfbookmark[1]{Title}{Title}\fi
\title{List of Rubik patterns\\%
\smallskip\normalsize\texttt{www.ctan.org/tex-archives/macros/latex/contrib/rubik/rubikpatternsLIST.pdf}%
\footnote{This file is part of the Rubik bundle v5.0, 2018. 
To generate this file, use the following command: 
\newline \texttt{\$ pdflatex --shell-escape  rubikpatternsLIST.tex}}}
\author{RWD Nickalls\,\footnote{email: \textsf{dick@nickalls.org}}%
  \ \ \& A Syropoulos\,\footnote{email: \textsf{asyropoulos@yahoo.com}}}
\date{25 February 2018 (Rubik bundle v5.0)}
\maketitle


%==========================================
\section{Rubik patterns}

A Rubik pattern  is the configuration generated by a sequence of rotations 
(or `moves') from some initial starting configuration (typically a `solved' 
configuration). For example, `sixspot' is a well known pattern  generated  
from a solved Rubik cube by the  rotation sequence 
 \texttt{U,Dp,R,Lp,F,Bp,U,Dp}, as follows:

\bigskip

\noindent\hfil%
\RubikCubeSolvedWB
\ShowCube{2.4cm}{0.6}{\DrawRubikCubeRU}%
\RubikRotation{\sixspot}%
\quad\SequenceBraceA{sixspot}{\ShowSequence{}{\Rubik}{\SequenceLong}}\quad%
\ShowCube{2.4cm}{0.6}{\DrawRubikCubeRU}%
\hfil%

\bigskip

\medskip
{\noindent}The code for this image is as follows:

\begin{quote}
\begin{verbatim}
\usepackage{tikz}
\usepackage{rubikcube,rubikrotation,rubikpatterns} 
...
\noindent\hfil%
\RubikCubeSolvedWB%
\ShowCube{2.4cm}{0.6}{\DrawRubikCubeRU}%
\RubikRotation{\sixspot}%
\quad\SequenceBraceA{sixspot}{%
                        \ShowSequence{}{\Rubik}{\SequenceLong}%
                        }%
\quad\ShowCube{2.4cm}{0.6}{\DrawRubikCubeRU}%
\hfil%
\end{verbatim}
\end{quote}


Note that the  appearance of a pattern generated by  a given 
rotation sequence is, of course, sensitive  to 
(a)~the particular colour configuration of the solved 
cube used, and (b)~the initial  orientation of the cube.

The initial condition   associated with all the pattern images 
shown in this document is the  solved form of the `WB' colour 
configuration (White opposite Blue), since this is the solved 
cube colour configuration used by the Reid website, from which 
nearly all these patterns are drawn.

The following image shows the WB cube form (set up using the command 
\verb!\RubikCubeSolvedWB!) displayed in a  semi-flat (SF) mode 
(\verb!\DrawRubikCubeSF!) so we can see all the faces 
---see the \textsc{rubikcube} documentation for details.

\bigskip

  \RubikCubeSolvedWB%
  \ShowCube{5cm}{0.5}{\DrawRubikCubeSF}%
\hspace{3mm}% 
\begin{minipage}{5cm}
\begin{verbatim}
\usepackage{tikz}
\usepackage{rubikcube,rubikrotation} 
...
\RubikCubeSolvedWB%
\ShowCube{2cm}{0.5}{\DrawRubikCubeSF}%
\end{verbatim}
\end{minipage}

%====================
\section{Typesetting}

The remainder of this document just  displays the various patterns 
made available  with the \textsc{rubikpatterns} package. We display 
the patterns using the following   \verb!\ShowPattern! command, which
uses the  \verb!\RubikRotation! command (from the  \textsc{rubikrotation} 
package), and  takes the pattern macro-name as the argument:
This command draws the cube from the right-upper (RU) viewpoint, 
and shows the rotation sequence and metadata.

Note that since each sequence starts with a \verb![name],! we include 
a negative thin space (\verb[$\![) just before the \verb!\ShowSequence! 
command to adjust the  position of the narrow initial \verb![! character 
 in order to align it correctly with the subsequent line.

\begin{verbatim}
%----------------------------------------
\usepackage{tikz}
\usepackage{rubikcube,rubikrotation,rubikpatterns} 
...
\newcommand{\ShowPattern}[1]{%
\noindent%
  \RubikCubeSolvedWB
  \RubikRotation{#1}
  \ShowCube{2.4cm}{0.6}{\DrawRubikCubeRU}
  \hspace{0.5cm}%
\begin{minipage}{9cm}
\noindent$\!$\ShowSequence{,\ }{\texttt}{\SequenceShort},
\newline\noindent\texttt{\SequenceInfo}.
\end{minipage}
}
%------------------------------------------
\end{verbatim}


For example, the first pattern below (Pons Asinorum) is typeset 
using the following  command:

\begin{verbatim} 
\bigskip\ShowPattern{\ponsasinorum}
\end{verbatim}


%-----------------------------
\section{List of Patterns}

\bigskip\ShowPattern{\PonsAsinorum}

\bigskip\ShowPattern{\CheckerboardsThree}

\bigskip\ShowPattern{\CheckerboardsSix} 

\bigskip\ShowPattern{\Stripes}

\bigskip\ShowPattern{\CubeInCube}

\bigskip\ShowPattern{\CubeInCubeInCube}

\bigskip\ShowPattern{\ChristmasCross}

\bigskip\ShowPattern{\PlummersCross}

\bigskip\ShowPattern{\Anaconda}

\bigskip\ShowPattern{\Python}

\bigskip\ShowPattern{\BlackMamba}

\bigskip\ShowPattern{\GreenMamba}

\bigskip\ShowPattern{\FemaleRattlesnake}

\bigskip\ShowPattern{\MaleRattlesnake}

\bigskip\ShowPattern{\FemaleBoa}

\bigskip\ShowPattern{\MaleBoa}

\bigskip\ShowPattern{\FourSpot}

\bigskip\ShowPattern{\sixspot}

\bigskip\ShowPattern{\OrthogonalBars}

\bigskip\ShowPattern{\SixTs}

\bigskip\ShowPattern{\SixTwoOne}

\bigskip\ShowPattern{\ExchangedPeaks}

\bigskip\ShowPattern{\TwoTwistedPeaks}

\bigskip\ShowPattern{\FourTwistedPeaks}

\bigskip\ShowPattern{\ExchangedChickenFeet}

\bigskip\ShowPattern{\TwistedChickenFeet}

\bigskip\ShowPattern{\ExchangedRings}

\bigskip\ShowPattern{\TwistedRings}

\bigskip\ShowPattern{\EdgeHexagonTwo}

\bigskip\ShowPattern{\EdgeHexagonThree}

\bigskip\ShowPattern{\TomParksPattern}

\bigskip\ShowPattern{\RonsCubeInCube}

\bigskip\ShowPattern{\TwistedDuckFeet}

\bigskip\ShowPattern{\ExchangedDuckFeet}

\bigskip\ShowPattern{\Superflip}

\bigskip


%------------------------
\section{References}

\begin{itemize}
\item Fridrich website (Fridrich J). 
\ \ \url{http://www.ws.binghamton.edu/fridrich/}
See the `Pretty patterns'  webpage 
\url{http://www.ws.binghamton.edu/fridrich/ptrns.html}

\item  Kociemba website (Kociemba H).  \url{http://www.kociemba.org/cube.htm}
 {\newline}---for superflip see: \url{http://www.kociemba.org/math/oh.htm}

\item Randelshofer website (Randelshofer W).  Pretty patterns. \url{http://www.randelshofer.ch/rubik/patterns/U080.01.html}

\item Reid patterns web page (Reid M).  
\url{http://www.cflmath.com/~reid/Rubik/patterns.html}

\end{itemize}


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

\end{document}