rubik (4feb14)

git-svn-id: svn://tug.org/texlive/trunk@32893 c570f23f-e606-0410-a88d-b1316a301751

2 files changed, 2020 insertions, 0 deletions

diff --git a/Master/texmf-dist/tex/latex/rubik/rubikcube.sty b/Master/texmf-dist/tex/latex/rubik/rubikcube.sty
new file mode 100644
index 00000000000..0737dc74aca
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/rubik/rubikcube.sty
@@ -0,0 +1,1860 @@
+%%
+%% This is file `rubikcube.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% rubikcube.dtx  (with options: `rubikcube')
+%% 
+%% -----------------------------------------------------------------
+%%   Authors: RWD Nickalls (dick@nickalls.org)
+%%           and Apostolos Syropoulos (asyropoulos@yahoo.com)
+%% 
+%%   Copyright 2014  RWD Nickalls and A Syropoulos
+%% 
+%% 
+%%   This work may be distributed and/or modified under the
+%%   conditions of the LaTeX Project Public License, either
+%%   version 1.3 of this license or (at your option) any
+%%   later version: <http://www.latex-project.org/lppl.txt>
+%% 
+%%   This work consists of the files listed in the README file.
+%% -----------------------------------------------------------------
+%% 
+%%   This is a LaTeX/TikZ package for drawing Rubik cubes
+%%   Please report errors or suggestions for improvement to
+%% 
+%%          RWD Nickalls  (dick@nickalls.org)
+%%          Apostolos Syropoulos (asyropoulos@yahoo.com)
+%% 
+%%   This package requires the basic TikZ package to be loaded already
+%% ------------------------------------------------------------------
+%% rubikcube.dtx
+%% Copyright 2014  RWD Nickalls (dick@nickalls.org) and A Syropoulos (asyropoulos@yahoo.com)
+%%% \CharacterTable
+%%  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
+%%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
+%%   Digits        \0\1\2\3\4\5\6\7\8\9
+%%   Exclamation   \!     Double quote  \"     Hash (number) \#
+%%   Dollar        \$     Percent       \%     Ampersand     \&
+%%   Acute accent  \'     Left paren    \(     Right paren   \)
+%%   Asterisk      \*     Plus          \+     Comma         \,
+%%   Minus         \-     Point         \.     Solidus       \/
+%%   Colon         \:     Semicolon     \;     Less than     \<
+%%   Equals        \=     Greater than  \>     Question mark \?
+%%   Commercial at \@     Left bracket  \[     Backslash     \\
+%%   Right bracket \]     Circumflex    \^     Underscore    \_
+%%   Grave accent  \`     Left brace    \{     Vertical bar  \|
+%%   Right brace   \}     Tilde         \~}
+
+
+\def\RCfileversion{2.0}%
+\def\RCfiledate{2014/01/20}%
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{rubikcube}[\RCfiledate\space (v\RCfileversion)]
+\@ifpackageloaded{tikz}{}{%
+  \typeout{---rubikcube requires the TikZ package.}%
+  \RequirePackage{tikz}}%
+\newcommand{\rubikcube}{\textsf{rubikcube}}%
+\newcommand{\@rr}[1]{\textbf{\textsf{#1}}}
+\newcommand{\@rrp}[1]{\textbf{\textsf{#1}$^\prime$}}
+\newcommand{\@rrw}[1]{\textbf{\textsf{#1\footnotesize{w}}}}
+\newcommand{\@rrwp}[1]{\textbf{\textsf{#1\footnotesize{w}}$^\prime$}}
+\newcommand{\@rrs}[1]{\textbf{\textsf{#1\footnotesize{s}}}}
+\newcommand{\@rrsp}[1]{\textbf{\textsf{#1\footnotesize{s}}$^\prime$}}
+\newcommand{\@rra}[1]{\textbf{\textsf{#1\footnotesize{a}}}}
+\newcommand{\@rrap}[1]{\textbf{\textsf{#1\footnotesize{a}}$^\prime$}}
+\newcommand{\@xyzh}[1]{\textbf{[\textsf{#1}]}\,}
+\newcommand{\@xyzhp}[1]{\textbf{[\textsf{#1}$^\prime$]}\,}
+\newcommand{\@xyzRubik}[1]{\raisebox{3.45pt}{\textbf{[\textsf{#1}]}}}
+\newcommand{\@xyzRubikp}[1]{\raisebox{3.45pt}{\textbf{[\textsf{#1}$^\prime$]}}}
+\newcommand{\@SquareLetter}[1]{\setlength\fboxsep{2.5pt}\fboxrule=0.8pt%
+   \fbox{\rule[-1pt]{0pt}{8.5pt}\raisebox{-0.5pt}{#1}}}
+\newlength\@hRubik%
+\setlength{\@hRubik}{0.185cm}%
+\definecolor{R}{HTML}{C41E33}%
+\definecolor{G}{HTML}{00BE38}%
+\definecolor{B}{HTML}{0051BA}%
+\definecolor{Y}{HTML}{FFFF00}%
+\colorlet{X}{black!30}% grey
+\colorlet{O}{orange}%
+\colorlet{W}{white}%
+\newcommand{\RubikFaceUp}[9]{%
+\def\Ult{#1}\def\Umt{#2}\def\Urt{#3}%
+\def\Ulm{#4}\def\Umm{#5}\def\Urm{#6}%
+\def\Ulb{#7}\def\Umb{#8}\def\Urb{#9}%
+}
+\newcommand{\RubikFaceFront}[9]{%
+\def\Flt{#1}\def\Fmt{#2}\def\Frt{#3}%
+\def\Flm{#4}\def\Fmm{#5}\def\Frm{#6}%
+\def\Flb{#7}\def\Fmb{#8}\def\Frb{#9}%
+}
+\newcommand{\RubikFaceRight}[9]{%
+\def\Rlt{#1}\def\Rmt{#2}\def\Rrt{#3}%
+\def\Rlm{#4}\def\Rmm{#5}\def\Rrm{#6}%
+\def\Rlb{#7}\def\Rmb{#8}\def\Rrb{#9}%
+}
+\newcommand{\RubikFaceDown}[9]{%
+\def\Dlt{#1}\def\Dmt{#2}\def\Drt{#3}%
+\def\Dlm{#4}\def\Dmm{#5}\def\Drm{#6}%
+\def\Dlb{#7}\def\Dmb{#8}\def\Drb{#9}%
+}
+\newcommand{\RubikFaceLeft}[9]{%
+\def\Llt{#1}\def\Lmt{#2}\def\Lrt{#3}%
+\def\Llm{#4}\def\Lmm{#5}\def\Lrm{#6}%
+\def\Llb{#7}\def\Lmb{#8}\def\Lrb{#9}%
+}
+\newcommand{\RubikFaceBack}[9]{%
+\def\Blt{#1}\def\Bmt{#2}\def\Brt{#3}%
+\def\Blm{#4}\def\Bmm{#5}\def\Brm{#6}%
+\def\Blb{#7}\def\Bmb{#8}\def\Brb{#9}%
+}
+\newcommand{\RubikFaceUpAll}[1]{%
+\def\Ult{#1}\def\Umt{#1}\def\Urt{#1}%
+\def\Ulm{#1}\def\Umm{#1}\def\Urm{#1}%
+\def\Ulb{#1}\def\Umb{#1}\def\Urb{#1}%
+}
+\newcommand{\RubikFaceFrontAll}[1]{%
+\def\Flt{#1}\def\Fmt{#1}\def\Frt{#1}%
+\def\Flm{#1}\def\Fmm{#1}\def\Frm{#1}%
+\def\Flb{#1}\def\Fmb{#1}\def\Frb{#1}%
+}
+\newcommand{\RubikFaceRightAll}[1]{%
+\def\Rlt{#1}\def\Rmt{#1}\def\Rrt{#1}%
+\def\Rlm{#1}\def\Rmm{#1}\def\Rrm{#1}%
+\def\Rlb{#1}\def\Rmb{#1}\def\Rrb{#1}%
+}
+\newcommand{\RubikFaceLeftAll}[1]{%
+\def\Llt{#1}\def\Lmt{#1}\def\Lrt{#1}%
+\def\Llm{#1}\def\Lmm{#1}\def\Lrm{#1}%
+\def\Llb{#1}\def\Lmb{#1}\def\Lrb{#1}%
+}
+\newcommand{\RubikFaceDownAll}[1]{%
+\def\Dlt{#1}\def\Dmt{#1}\def\Drt{#1}%
+\def\Dlm{#1}\def\Dmm{#1}\def\Drm{#1}%
+\def\Dlb{#1}\def\Dmb{#1}\def\Drb{#1}%
+}
+\newcommand{\RubikFaceBackAll}[1]{%
+\def\Blt{#1}\def\Bmt{#1}\def\Brt{#1}%
+\def\Blm{#1}\def\Bmm{#1}\def\Brm{#1}%
+\def\Blb{#1}\def\Bmb{#1}\def\Brb{#1}%
+}
+\RubikFaceUpAll{X}%
+\RubikFaceDownAll{X}%
+\RubikFaceLeftAll{X}%
+\RubikFaceRightAll{X}%
+\RubikFaceFrontAll{X}%
+\RubikFaceBackAll{X}%
+\newcommand{\RubikCubeSolved}{%
+  \RubikFaceUpAll{W}%
+  \RubikFaceDownAll{Y}%
+  \RubikFaceLeftAll{B}%
+  \RubikFaceRightAll{G}%
+  \RubikFaceFrontAll{O}%
+  \RubikFaceBackAll{R}%
+}
+\newcommand{\RubikSliceTopR}[6]{%
+\def\Flt{#1}\def\Fmt{#2}\def\Frt{#3}%
+\def\Rlt{#4}\def\Rmt{#5}\def\Rrt{#6}%
+}
+\newcommand{\RubikSliceTopL}[6]{%
+\def\Llt{#1}\def\Lmt{#2}\def\Lrt{#3}%
+\def\Flt{#4}\def\Fmt{#5}\def\Frt{#6}%
+}
+\newcommand{\RubikSliceEquatorR}[6]{%
+\def\Flm{#1}\def\Fmm{#2}\def\Frm{#3}%
+\def\Rlm{#4}\def\Rmm{#5}\def\Rrm{#6}%
+}
+\newcommand{\RubikSliceEquatorL}[6]{%
+\def\Llm{#1}\def\Lmm{#2}\def\Lrm{#3}%
+\def\Flm{#4}\def\Fmm{#5}\def\Frm{#6}%
+}
+\newcommand{\RubikSliceBottomR}[6]{%
+\def\Flb{#1}\def\Fmb{#2}\def\Frb{#3}%
+\def\Rlb{#4}\def\Rmb{#5}\def\Rrb{#6}%
+}
+\newcommand{\RubikSliceBottomL}[6]{%
+\def\Llb{#1}\def\Lmb{#2}\def\Lrb{#3}%
+\def\Flb{#4}\def\Fmb{#5}\def\Frb{#6}%
+}
+\newcommand{\DrawRubikCubeFrontFace}{%
+\draw[line join=round,line cap=round,ultra thick,fill=\Flt]%
+(0,2) -- (0, 3) -- (1,3) -- (1,2)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Fmt]%
+(1,2) -- (1, 3) -- (2,3) -- (2,2) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Frt]%
+(2,2) -- (2, 3) -- (3,3) -- (3,2) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Flm]%
+(0,1) -- (0, 2) -- (1,2) -- (1,1)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Fmm]%
+(1,1) -- (1, 2) -- (2,2) -- (2,1) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Frm]%
+(2,1) -- (2, 2) -- (3,2) -- (3,1) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Flb]%
+(0,0) -- (0, 1) -- (1,1) -- (1,0)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Fmb]%
+(1,0) -- (1, 1) -- (2,1) -- (2,0) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Frb]%
+(2,0) -- (2, 1) -- (3,1) -- (3,0) -- cycle;
+}
+\newcommand{\DrawRubikCubeRU}{%
+\DrawRubikCubeFrontFace %% frontface
+%%-----------Up face----------
+%%---top row
+\draw[line join=round,line cap=round,ultra thick,fill=\Ult]%
+(0.66,3.66) -- (1,4) -- (2,4) -- (1.66,3.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Umt]%
+(1.66,3.66) -- (2,4) -- (3,4) -- (2.66,3.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Urt]%
+(2.66,3.66) -- (3,4) -- (4,4) -- (3.66,3.66)  -- cycle;
+%%---middle row
+\draw[line join=round,line cap=round,ultra thick,fill=\Ulm]%
+(0.33,3.33) -- (0.66,3.66) -- (1.66,3.66) -- (1.33,3.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Umm]%
+(1.33,3.33) -- (1.66,3.66) -- (2.66,3.66) -- (2.33,3.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Urm]%
+(2.33,3.33) -- (2.66,3.66) -- (3.66,3.66) -- (3.33,3.33)  -- cycle;
+%%---bottom row
+\draw[line join=round,line cap=round,ultra thick,fill=\Ulb]%
+(0,3) -- (0.33,3.33) -- (1.33,3.33) -- (1,3)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Umb]%
+(1,3) -- (1.33,3.33) -- (2.33,3.33) -- (2,3)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Urb]%
+(2,3) -- (2.33,3.33) -- (3.33,3.33) -- (3,3)  -- cycle;
+%%-----------Right face----------
+%%---top row
+\draw[line join=round,line cap=round,ultra thick,fill=\Rlt]%
+(3,2) -- (3, 3) -- (3.33,3.33) -- (3.33,2.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Rmt]%
+(3.33,2.33) -- (3.33, 3.33) -- (3.66,3.66) -- (3.66,2.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Rrt]%
+(3.66,2.66) -- (3.66, 3.66) -- (4,4) -- (4,3)  -- cycle;
+%%---middle row
+\draw[line join=round,line cap=round,ultra thick,fill=\Rlm]%
+(3,1) -- (3, 2) -- (3.33,2.33) -- (3.33,1.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Rmm]%
+(3.33,1.33) -- (3.33, 2.33) -- (3.66,2.66) -- (3.66,1.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Rrm]%
+(3.66,1.66) -- (3.66, 2.66) -- (4,3) -- (4,2)  -- cycle;
+%%---bottom row
+\draw[line join=round,line cap=round,ultra thick,fill=\Rlb]%
+(3,0) -- (3, 1) -- (3.33,1.33) -- (3.33,0.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Rmb]%
+(3.33,0.33) -- (3.33, 1.33) -- (3.66,1.66) -- (3.66,0.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Rrb]%
+(3.66,0.66) -- (3.66, 1.66) -- (4,2) -- (4,1)  -- cycle;
+}
+\newcommand{\DrawRubikCube}{\DrawRubikCubeRU}
+\newcommand{\DrawRubikCubeRD}{%
+\DrawRubikCubeFrontFace %% frontface
+%%----------Right face--------
+%%---top row
+\draw[line join=round,line cap=round,ultra thick,fill=\Rlt]%
+(3,2) -- (3, 3) -- (3.33,2.66) -- (3.33,1.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Rmt]%
+(3.33,1.66) -- (3.33, 2.66) -- (3.66,2.33) -- (3.66,1.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Rrt]%
+(3.66,1.33) -- (3.66, 2.33) -- (4,2) -- (4,1)  -- cycle;
+%%---middle row
+\draw[line join=round,line cap=round,ultra thick,fill=\Rlm]%
+(3,1) -- (3, 2) -- (3.33,1.66) -- (3.33,0.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Rmm]%
+(3.33,0.66) -- (3.33, 1.66) -- (3.66,1.33) -- (3.66,0.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Rrm]%
+(3.66,0.33) -- (3.66, 1.33) -- (4,1) -- (4,0)  -- cycle;
+%%---bottom row
+\draw[line join=round,line cap=round,ultra thick,fill=\Rlb]%
+(3,0) -- (3, 1) -- (3.33,0.66) -- (3.33,-0.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Rmb]%
+(3.33,-0.33) -- (3.33, 0.66) -- (3.66,0.33) -- (3.66,-0.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Rrb]%
+(3.66,-0.66) -- (3.66, 0.33) -- (4,0) -- (4,-1)  -- cycle;
+%%-----------Down face---------
+%%---top row
+\draw[line join=round,line cap=round,ultra thick,fill=\Dlt]%
+(0.33,-0.33) -- (0, 0) -- (1,0) -- (1.33,-0.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Dmt]%
+(1.33,-0.33) -- (1, 0) -- (2,0) -- (2.33,-0.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Drt]%
+(2.33,-0.33) -- (2, 0) -- (3,0) -- (3.33,-0.33)  -- cycle;
+%%---middle row
+\draw[line join=round,line cap=round,ultra thick,fill=\Dlm]%
+(0.66,-0.66) -- (0.33, -0.33) -- (1.33,-0.33) -- (1.66,-0.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Dmm]%
+(1.66,-0.66) -- (1.33, -0.33) -- (2.33,-0.33) -- (2.66,-0.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Drm]%
+(2.66,-0.66) -- (2.33, -0.33) -- (3.33,-0.33) -- (3.66,-0.66)  -- cycle;
+%%---bottom row
+\draw[line join=round,line cap=round,ultra thick,fill=\Dlb]%
+(1,-1) -- (0.66, -0.66) -- (1.66,-0.66) -- (2,-1)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Dmb]%
+(2,-1) -- (1.66, -0.66) -- (2.66,-0.66) -- (3,-1)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Drb]%
+(3,-1) -- (2.66, -0.66) -- (3.66,-0.66) -- (4,-1)  -- cycle;
+}
+\newcommand{\DrawRubikCubeLD}{%
+\DrawRubikCubeFrontFace %% frontface
+%%------------Left face--------
+%%---top row
+\draw[line join=round,line cap=round,ultra thick,fill=\Llt]%
+(-1,1) -- (-1, 2) -- (-0.66,2.33) -- (-0.66,1.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Lmt]%
+(-0.66,1.33) -- (-0.66, 2.33) -- (-0.33,2.66) -- (-0.33,1.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Lrt]%
+(-0.33,1.66) -- (-0.33, 2.66) -- (0,3) -- (0,2)  -- cycle;
+%%---middle row
+\draw[line join=round,line cap=round,ultra thick,fill=\Llm]%
+(-1,0) -- (-1, 1) -- (-0.66,1.33) -- (-0.66,0.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Lmm]%
+(-0.66,0.33) -- (-0.66, 1.33) -- (-0.33,1.66) -- (-0.33,0.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Lrm]%
+(-0.33,0.66) -- (-0.33, 1.66) -- (0,2) -- (0,1)  -- cycle;
+%%---bottom row
+\draw[line join=round,line cap=round,ultra thick,fill=\Llb]%
+(-1,-1) -- (-1, 0) -- (-0.66,0.33) -- (-0.66,-0.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Lmb]%
+(-0.66,-0.66) -- (-0.66, 0.33) -- (-0.33,0.66) -- (-0.33,-0.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Lrb]%
+(-0.33,-0.33) -- (-0.33, 0.66) -- (0,1) -- (0,0)  -- cycle;
+%%------------Down face----------
+%%---top row
+\draw[line join=round,line cap=round,ultra thick,fill=\Dlt]%
+(-0.33,-0.33) -- (0, 0) -- (1,0) -- (0.66,-0.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Dmt]%
+(0.66,-0.33) -- (1, 0) -- (2,0) -- (1.66,-0.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Drt]%
+(1.66,-0.33) -- (2, 0) -- (3,0) -- (2.66,-0.33)  -- cycle;
+%%---middle row
+\draw[line join=round,line cap=round,ultra thick,fill=\Dlm]%
+(-0.66,-0.66) -- (-0.33, -0.33) -- (0.66,-0.33) -- (0.33,-0.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Dmm]%
+(0.33,-0.66) -- (0.66, -0.33) -- (1.66,-0.33) -- (1.33,-0.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Drm]%
+(1.33,-0.66) -- (1.66, -0.33) -- (2.66,-0.33) -- (2.33,-0.66)  -- cycle;
+%%---bottom row
+\draw[line join=round,line cap=round,ultra thick,fill=\Dlb]%
+(-1,-1) -- (-0.66, -0.66) -- (0.33,-0.66) -- (0,-1)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Dmb]%
+(0,-1) -- (0.33, -0.66) -- (1.33,-0.66) -- (1,-1)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Drb]%
+(1,-1) -- (1.33, -0.66) -- (2.33,-0.66) -- (2,-1)  -- cycle;
+}
+\newcommand{\DrawRubikCubeLU}{%
+\DrawRubikCubeFrontFace %% frontface
+%%-----------Left face-----------
+%%---top row
+\draw[line join=round,line cap=round,ultra thick,fill=\Llt]%
+(-1,3) -- (-1, 4) -- (-0.66,3.66) -- (-0.66,2.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Lmt]%
+(-0.66,2.66) -- (-0.66, 3.66) -- (-0.33,3.33) -- (-0.33,2.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Lrt]%
+(-0.33,2.33) -- (-0.33, 3.33) -- (0,3) -- (0,2)  -- cycle;
+%%---middle row
+\draw[line join=round,line cap=round,ultra thick,fill=\Llm]%
+(-1,2) -- (-1, 3) -- (-0.66,2.66) -- (-0.66,1.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Lmm]%
+(-0.66,1.66) -- (-0.66, 2.66) -- (-0.33,2.33) -- (-0.33,1.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Lrm]%
+(-0.33,1.33) -- (-0.33, 2.33) -- (0,2) -- (0,1)  -- cycle;
+%%---bottom row
+\draw[line join=round,line cap=round,ultra thick,fill=\Llb]%
+(-1,1) -- (-1, 2) -- (-0.66,1.66) -- (-0.66,0.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Lmb]%
+(-0.66,0.66) -- (-0.66, 1.66) -- (-0.33,1.33) -- (-0.33,0.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Lrb]%
+(-0.33,0.33) -- (-0.33, 1.33) -- (0,1) -- (0,0)  -- cycle;
+%%-----------Up face---------
+%%---top row
+\draw[line join=round,line cap=round,ultra thick,fill=\Ult]%
+(-0.66,3.66) -- (-1, 4) -- (0,4) -- (0.33,3.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Umt]%
+(0.33,3.66) -- (0, 4) -- (1,4) -- (1.33,3.66)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Urt]%
+(1.33,3.66) -- (1, 4) -- (2,4) -- (2.33,3.66)  -- cycle;
+%%---middle row
+\draw[line join=round,line cap=round,ultra thick,fill=\Ulm]%
+(-0.33,3.33) -- (-0.66, 3.66) -- (0.33,3.66) -- (0.66,3.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Umm]%
+(0.66,3.33) -- (0.33, 3.66) -- (1.33,3.66) -- (1.66,3.33)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Urm]%
+(1.66,3.33) -- (1.33, 3.66) -- (2.33,3.66) -- (2.66,3.33)  -- cycle;
+%%---bottom row
+\draw[line join=round,line cap=round,ultra thick,fill=\Ulb]%
+(0,3) -- (-0.33, 3.33) -- (0.66,3.33) -- (1,3)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Umb]%
+(1,3) -- (0.66, 3.33) -- (1.66,3.33) -- (2,3)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Urb]%
+(2,3) -- (1.66, 3.33) -- (2.66,3.33) -- (3,3)  -- cycle;%
+\ %%trailing space
+}
+\newcommand{\DrawRubikLayerFace}[9]{%
+%%-----------FRONT face---------
+%%---top row
+\draw[line join=round,line cap=round,ultra thick,fill=#1]%
+(0,2) -- (0, 3) -- (1,3) -- (1,2)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=#2]%
+(1,2) -- (1, 3) -- (2,3) -- (2,2) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=#3]%
+(2,2) -- (2, 3) -- (3,3) -- (3,2) -- cycle;
+%%-----middle row
+\draw[line join=round,line cap=round,ultra thick,fill=#4]%
+(0,1) -- (0, 2) -- (1,2) -- (1,1)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=#5]%
+(1,1) -- (1, 2) -- (2,2) -- (2,1) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=#6]%
+(2,1) -- (2, 2) -- (3,2) -- (3,1) -- cycle;
+%%----bottom row
+\draw[line join=round,line cap=round,ultra thick,fill=#7]%
+(0,0) -- (0, 1) -- (1,1) -- (1,0)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=#8]%
+(1,0) -- (1, 1) -- (2,1) -- (2,0) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=#9]%
+(2,0) -- (2, 1) -- (3,1) -- (3,0) -- cycle;
+}
+\newcommand{\DrawRubikLayerFaceAll}[1]{%
+%%----------FRONT face-----------
+%%---top row
+\draw[line join=round,line cap=round,ultra thick,fill=#1]%
+(0,2) -- (0, 3) -- (1,3) -- (1,2)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=#1]%
+(1,2) -- (1, 3) -- (2,3) -- (2,2) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=#1]%
+(2,2) -- (2, 3) -- (3,3) -- (3,2) -- cycle;
+%%-----middle row
+\draw[line join=round,line cap=round,ultra thick,fill=#1]%
+(0,1) -- (0, 2) -- (1,2) -- (1,1)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=#1]%
+(1,1) -- (1, 2) -- (2,2) -- (2,1) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=#1]%
+(2,1) -- (2, 2) -- (3,2) -- (3,1) -- cycle;
+%%----bottom row
+\draw[line join=round,line cap=round,ultra thick,fill=#1]%
+(0,0) -- (0, 1) -- (1,1) -- (1,0)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=#1]%
+(1,0) -- (1, 1) -- (2,1) -- (2,0) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=#1]%
+(2,0) -- (2, 1) -- (3,1) -- (3,0) -- cycle;
+}
+\newcommand{\FlatUp}[2]{%
+\pgfmathsetmacro{\ux}{#1}%
+\pgfmathsetmacro{\uy}{#2}%
+%%---top row
+\draw[line join=round,line cap=round,ultra thick,fill=\Ult]%
+(\ux + 0,\uy + 2) -- (\ux + 0,\uy + 3) -- (\ux + 1,\uy + 3)%
+ -- (\ux + 1,\uy + 2)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Umt]%
+(\ux + 1,\uy + 2) -- (\ux + 1,\uy + 3) -- (\ux + 2,\uy + 3)%
+ -- (\ux + 2,\uy + 2) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Urt]%
+(\ux + 2,\uy + 2) -- (\ux + 2,\uy + 3) -- (\ux + 3,\uy + 3)%
+ -- (\ux + 3,\uy + 2) -- cycle;
+%%-----middle row
+\draw[line join=round,line cap=round,ultra thick,fill=\Ulm]%
+(\ux + 0,\uy + 1) -- (\ux + 0,\uy + 2) -- (\ux + 1,\uy + 2)%
+ -- (\ux + 1,\uy + 1)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Umm]%
+(\ux + 1,\uy + 1) -- (\ux + 1,\uy + 2) -- (\ux + 2,\uy + 2)%
+ -- (\ux + 2,\uy + 1) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Urm]%
+(\ux + 2,\uy + 1) -- (\ux + 2,\uy + 2) -- (\ux + 3,\uy + 2)%
+ -- (\ux + 3,\uy + 1) -- cycle;
+%%----bottom row
+\draw[line join=round,line cap=round,ultra thick,fill=\Ulb]%
+(\ux + 0,\uy + 0) -- (\ux + 0,\uy + 1) -- (\ux + 1,\uy + 1)%
+ -- (\ux + 1,\uy + 0)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Umb]%
+(\ux + 1,\uy + 0) -- (\ux + 1,\uy + 1) -- (\ux + 2,\uy + 1)%
+ -- (\ux + 2,\uy + 0) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Urb]%
+(\ux + 2,\uy + 0) -- (\ux + 2,\uy + 1) -- (\ux + 3,\uy + 1)%
+ -- (\ux + 3,\uy + 0) -- cycle;
+}
+%%-------------------------
+\newcommand{\FlatDown}[2]{%
+\pgfmathsetmacro{\ddx}{#1}%
+\pgfmathsetmacro{\ddy}{#2}%
+%%---top row
+\draw[line join=round,line cap=round,ultra thick,fill=\Dlt]%
+(\ddx + 0,\ddy + 2) -- (\ddx + 0,\ddy + 3) -- (\ddx + 1,\ddy + 3)%
+ -- (\ddx + 1,\ddy + 2)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Dmt]%
+(\ddx + 1,\ddy + 2) -- (\ddx + 1,\ddy + 3) -- (\ddx + 2,\ddy + 3)%
+ -- (\ddx + 2,\ddy + 2) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Drt]%
+(\ddx + 2,\ddy + 2) -- (\ddx + 2,\ddy + 3) -- (\ddx + 3,\ddy + 3)%
+ -- (\ddx + 3,\ddy + 2) -- cycle;
+%%-----middle row
+\draw[line join=round,line cap=round,ultra thick,fill=\Dlm]%
+(\ddx + 0,\ddy + 1) -- (\ddx + 0,\ddy + 2) -- (\ddx + 1,\ddy + 2)%
+ -- (\ddx + 1,\ddy + 1)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Dmm]%
+(\ddx + 1,\ddy + 1) -- (\ddx + 1,\ddy + 2) -- (\ddx + 2,\ddy + 2)%
+ -- (\ddx + 2,\ddy + 1) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Drm]%
+(\ddx + 2,\ddy + 1) -- (\ddx + 2,\ddy + 2) -- (\ddx + 3,\ddy + 2)%
+ -- (\ddx + 3,\ddy + 1) -- cycle;
+%%----bottom row
+\draw[line join=round,line cap=round,ultra thick,fill=\Dlb]%
+(\ddx + 0,\ddy + 0) -- (\ddx + 0,\ddy + 1) -- (\ddx + 1,\ddy + 1)%
+ -- (\ddx + 1,\ddy + 0)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Dmb]%
+(\ddx + 1,\ddy + 0) -- (\ddx + 1,\ddy + 1) -- (\ddx + 2,\ddy + 1)%
+ -- (\ddx + 2,\ddy + 0) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Drb]%
+(\ddx + 2,\ddy + 0) -- (\ddx + 2,\ddy + 1) -- (\ddx + 3,\ddy + 1)%
+ -- (\ddx + 3,\ddy + 0) -- cycle;
+}
+%%-----------------------
+\newcommand{\FlatFront}{%
+%%---top row
+\draw[line join=round,line cap=round,ultra thick,fill=\Flt]%
+(0,2) -- (0, 3) -- (1,3) -- (1,2)  -- cycle;
+%%
+\draw[line join=round,line cap=round,ultra thick,fill=\Fmt]%
+(1,2) -- (1, 3) -- (2,3) -- (2,2) -- cycle;
+%%
+\draw[line join=round,line cap=round,ultra thick,fill=\Frt]%
+(2,2) -- (2, 3) -- (3,3) -- (3,2) -- cycle;
+%%-----middle row
+\draw[line join=round,line cap=round,ultra thick,fill=\Flm]%
+(0,1) -- (0, 2) -- (1,2) -- (1,1)  -- cycle;
+%%
+\draw[line join=round,line cap=round,ultra thick,fill=\Fmm]%
+(1,1) -- (1, 2) -- (2,2) -- (2,1) -- cycle;
+%%
+\draw[line join=round,line cap=round,ultra thick,fill=\Frm]%
+(2,1) -- (2, 2) -- (3,2) -- (3,1) -- cycle;
+%%----bottom row
+\draw[line join=round,line cap=round,ultra thick,fill=\Flb]%
+(0,0) -- (0, 1) -- (1,1) -- (1,0)  -- cycle;
+%%
+\draw[line join=round,line cap=round,ultra thick,fill=\Fmb]%
+(1,0) -- (1, 1) -- (2,1) -- (2,0) -- cycle;
+%%
+\draw[line join=round,line cap=round,ultra thick,fill=\Frb]%
+(2,0) -- (2, 1) -- (3,1) -- (3,0) -- cycle;
+}
+%%-------------------------
+\newcommand{\FlatBack}[2]{%
+\pgfmathsetmacro{\bx}{#1}%
+\pgfmathsetmacro{\by}{#2}%
+%%---top row
+\draw[line join=round,line cap=round,ultra thick,fill=\Blt]%
+(\bx + 0,\by + 2) -- (\bx + 0,\by + 3) -- (\bx + 1,\by + 3)%
+ -- (\bx + 1,\by + 2)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Bmt]%
+(\bx + 1,\by + 2) -- (\bx + 1,\by + 3) -- (\bx + 2,\by + 3)%
+ -- (\bx + 2,\by + 2) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Brt]%
+(\bx + 2,\by + 2) -- (\bx + 2,\by + 3) -- (\bx + 3,\by + 3)%
+ -- (\bx + 3,\by + 2) -- cycle;
+%%-----middle row
+\draw[line join=round,line cap=round,ultra thick,fill=\Blm]%
+(\bx + 0,\by + 1) -- (\bx + 0,\by + 2) -- (\bx + 1,\by + 2)%
+ -- (\bx + 1,\by + 1)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Bmm]%
+(\bx + 1,\by + 1) -- (\bx + 1,\by + 2) -- (\bx + 2,\by + 2)%
+ -- (\bx + 2,\by + 1) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Brm]%
+(\bx + 2,\by + 1) -- (\bx + 2,\by + 2) -- (\bx + 3,\by + 2)%
+ -- (\bx + 3,\by + 1) -- cycle;
+%%----bottom row
+\draw[line join=round,line cap=round,ultra thick,fill=\Blb]%
+(\bx + 0,\by + 0) -- (\bx + 0,\by + 1) -- (\bx + 1,\by + 1)%
+ -- (\bx + 1,\by + 0)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Bmb]%
+(\bx + 1,\by + 0) -- (\bx + 1,\by + 1) -- (\bx + 2,\by + 1)%
+ -- (\bx + 2,\by + 0) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Brb]%
+(\bx + 2,\by + 0) -- (\bx + 2,\by + 1) -- (\bx + 3,\by + 1)%
+ -- (\bx + 3,\by + 0) -- cycle;
+}
+%%-------------------------
+\newcommand{\FlatLeft}[2]{%
+\pgfmathsetmacro{\lx}{#1}%
+\pgfmathsetmacro{\ly}{#2}%
+%%---top row
+\draw[line join=round,line cap=round,ultra thick,fill=\Llt]%
+(\lx + 0,2) -- (\lx + 0, 3) -- (\lx + 1,3) -- (\lx + 1,2)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Lmt]%
+(\lx + 1,2) -- (\lx + 1, 3) -- (\lx + 2,3) -- (\lx + 2,2) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Lrt]%
+(\lx + 2,2) -- (\lx + 2, 3) -- (\lx + 3,3) -- (\lx + 3,2) -- cycle;
+%%-----middle row
+\draw[line join=round,line cap=round,ultra thick,fill=\Llm]%
+(\lx + 0,1) -- (\lx + 0, 2) -- (\lx + 1,2) -- (\lx + 1,1)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Lmm]%
+(\lx + 1,1) -- (\lx + 1, 2) -- (\lx + 2,2) -- (\lx + 2,1) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Lrm]%
+(\lx + 2,1) -- (\lx + 2, 2) -- (\lx + 3,2) -- (\lx + 3,1) -- cycle;
+%%----bottom row
+\draw[line join=round,line cap=round,ultra thick,fill=\Llb]%
+(\lx + 0,0) -- (\lx + 0, 1) -- (\lx + 1,1) -- (\lx + 1,0)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Lmb]%
+(\lx + 1,0) -- (\lx + 1, 1) -- (\lx + 2,1) -- (\lx + 2,0) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Lrb]%
+(\lx + 2,0) -- (\lx + 2, 1) -- (\lx + 3,1) -- (\lx + 3,0) -- cycle;
+}
+%%--------------------------
+\newcommand{\FlatRight}[2]{%
+\pgfmathsetmacro{\rx}{#1}% %3
+\pgfmathsetmacro{\ry}{#2}% %0
+%%---top row
+\draw[line join=round,line cap=round,ultra thick,fill=\Rlt]%
+(\rx + 0,2) -- (\rx + 0, 3) -- (\rx + 1,3) -- (\rx + 1,2)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Rmt]%
+(\rx + 1,2) -- (\rx + 1, 3) -- (\rx + 2,3) -- (\rx + 2,2) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Rrt]%
+(\rx + 2,2) -- (\rx + 2, 3) -- (\rx + 3,3) -- (\rx + 3,2) -- cycle;
+%%-----middle row
+\draw[line join=round,line cap=round,ultra thick,fill=\Rlm]%
+(\rx + 0,1) -- (\rx + 0, 2) -- (\rx + 1,2) -- (\rx + 1,1)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Rmm]%
+(\rx + 1,1) -- (\rx + 1, 2) -- (\rx + 2,2) -- (\rx + 2,1) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Rrm]%
+(\rx + 2,1) -- (\rx + 2, 2) -- (\rx + 3,2) -- (\rx + 3,1) -- cycle;
+%%----bottom row
+\draw[line join=round,line cap=round,ultra thick,fill=\Rlb]%
+(\rx + 0,0) -- (\rx + 0, 1) -- (\rx + 1,1) -- (\rx + 1,0)  -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Rmb]%
+(\rx + 1,0) -- (\rx + 1, 1) -- (\rx + 2,1) -- (\rx + 2,0) -- cycle;
+\draw[line join=round,line cap=round,ultra thick,fill=\Rrb]%
+(\rx + 2,0) -- (\rx + 2, 1) -- (\rx + 3,1) -- (\rx + 3,0) -- cycle;
+}
+\newcommand{\DrawRubikFlat}{%
+  \FlatUp{0}{3}%
+  \FlatDown{0}{-3}%
+  \FlatLeft{-3}{0}%
+  \FlatFront%
+  \FlatRight{3}{0}%
+  \FlatBack{6}{0}%
+}
+\newcommand{\DrawRubikCubeFlat}{%
+  \DrawRubikCube%
+  \FlatDown{0}{-3}%
+  \FlatLeft{-3}{0}%
+  \FlatBack{4}{1}%
+}
+\newcommand{\RubikSideBarWidth}[1]{\pgfmathsetmacro{\bw}{#1}}
+\newcommand{\RubikSideBarLength}[1]{\pgfmathsetmacro{\bl}{#1}}
+\newcommand{\RubikSideBarSep}[1]{\pgfmathsetmacro{\bs}{#1}}
+\RubikSideBarWidth{0.3}%
+\RubikSideBarLength{1}%
+\RubikSideBarSep{0.3}%
+\newcommand{\side@barL}[2]{%
+%% #1 = cubie possn no, #2 = colour
+\pgfmathsetmacro{\blh}{\bl*(0.5)}%
+\pgfmathsetmacro{\dx}{0 - \bs - \bw}%
+\pgfmathsetmacro{\dy}{#1-1+0.5-\blh}%
+\draw[fill=#2] (\dx,\dy) -- (\dx,\dy + \bl)
+  -- (\dx+\bw,\dy+\bl) -- (\dx+\bw,\dy) -- cycle;
+}
+\newcommand{\side@barR}[2]{%
+%% #1 = cubie possn no, #2 = colour
+\pgfmathsetmacro{\blh}{\bl*(0.5)}%
+\pgfmathsetmacro{\dx}{3 + \bs}%
+\pgfmathsetmacro{\dy}{#1 -1+0.5-\blh}%
+\draw[fill=#2] (\dx,\dy) -- (\dx,\dy + \bl)
+  -- (\dx+\bw,\dy+\bl) -- (\dx+\bw,\dy) -- cycle;
+}
+\newcommand{\side@barT}[2]{%
+%% #1 = cubie possn no, #2 = colour
+\pgfmathsetmacro{\blh}{\bl*(0.5)}%
+\pgfmathsetmacro{\dx}{#1 -1+0.5-\blh}%
+\pgfmathsetmacro{\dy}{3 +\bs}%
+\draw[fill=#2] (\dx,\dy) -- (\dx,\dy + \bw)
+  -- (\dx+\bl,\dy+\bw) -- (\dx+\bl,\dy) -- cycle;
+}
+\newcommand{\side@barB}[2]{%
+%% #1 = cubie possn no, #2 = colour
+\pgfmathsetmacro{\blh}{\bl*(0.5)}%
+\pgfmathsetmacro{\dx}{#1 -1+0.5-\blh}%
+\pgfmathsetmacro{\dy}{0 -\bs-\bw}%
+\draw[fill=#2] (\dx,\dy) -- (\dx,\dy + \bw)
+  -- (\dx+\bl,\dy+\bw) -- (\dx+\bl,\dy) -- cycle;
+}
+%%---Left side
+\newcommand{\DrawRubikLayerSideLTx}[1]{\side@barL{3}{#1}}
+\newcommand{\DrawRubikLayerSideLEx}[1]{\side@barL{2}{#1}}
+\newcommand{\DrawRubikLayerSideLE}[1]{\side@barL{2}{#1}}
+\newcommand{\DrawRubikLayerSideLBx}[1]{\side@barL{1}{#1}}
+\newcommand{\DrawRubikLayerSideRTx}[1]{\side@barR{3}{#1}}
+\newcommand{\DrawRubikLayerSideREx}[1]{\side@barR{2}{#1}}
+\newcommand{\DrawRubikLayerSideRE}[1]{\side@barR{2}{#1}}
+\newcommand{\DrawRubikLayerSideRBx}[1]{\side@barR{1}{#1}}
+\newcommand{\DrawRubikLayerSideLTy}[1]{\side@barT{1}{#1}}
+\newcommand{\DrawRubikLayerSideMTy}[1]{\side@barT{2}{#1}}
+\newcommand{\DrawRubikLayerSideMT}[1]{\side@barT{2}{#1}}
+\newcommand{\DrawRubikLayerSideRTy}[1]{\side@barT{3}{#1}}
+\newcommand{\DrawRubikLayerSideLBy}[1]{\side@barB{1}{#1}}
+\newcommand{\DrawRubikLayerSideMBy}[1]{\side@barB{2}{#1}}
+\newcommand{\DrawRubikLayerSideMB}[1]{\side@barB{2}{#1}}
+\newcommand{\DrawRubikLayerSideRBy}[1]{\side@barB{3}{#1}}
+%%--Top side---
+\newcommand{\DrawRubikLayerSideT}[3]{%
+  \DrawRubikLayerSideLTy{#1}%
+  \DrawRubikLayerSideMTy{#2}%
+  \DrawRubikLayerSideRTy{#3}%
+}
+%%--Bottom side---
+\newcommand{\DrawRubikLayerSideB}[3]{%
+  \DrawRubikLayerSideLBy{#1}%
+  \DrawRubikLayerSideMBy{#2}%
+  \DrawRubikLayerSideRBy{#3}%
+}
+%%--Left side--------
+%% colours run vertically DOWN
+\newcommand{\DrawRubikLayerSideL}[3]{%
+  \DrawRubikLayerSideLTx{#1}%
+  \DrawRubikLayerSideLEx{#2}%
+  \DrawRubikLayerSideLBx{#3}%
+}
+%%--Right side--------
+%% colours run vertically DOWN
+\newcommand{\DrawRubikLayerSideR}[3]{%
+  \DrawRubikLayerSideRTx{#1}%
+  \DrawRubikLayerSideREx{#2}%
+  \DrawRubikLayerSideRBx{#3}%
+}
+\newcommand{\DrawRubikLayerSideLR}[6]{%
+  \DrawRubikLayerSideLTx{#1}%
+  \DrawRubikLayerSideRTx{#2}%
+  \DrawRubikLayerSideLEx{#3}%
+  \DrawRubikLayerSideREx{#4}%
+  \DrawRubikLayerSideLBx{#5}%
+  \DrawRubikLayerSideRBx{#6}%
+}
+\newcommand{\DrawNCubeAll}[4]{%
+   \pgfmathsetmacro{\ncubes}{#1-1}%
+%% need to subtract 1 from the given number of cubies per side
+%% to avoid the origin of the initial cube to be displaced
+    \foreach \x in {0,...,\ncubes}{%
+      \foreach \y in {0,...,\ncubes}{%
+        \foreach \z in {0,...,\ncubes}{%
+          \cube@dxdydz{1}{#2}{#3}{#4}{\x}{\y}{\z}%
+  }}}}
+\newcommand{\cube@dxdydz}[7]{%
+   \pgfmathsetmacro{\dx}{#1+#5}%
+%% calculates the 'displacement' (distance from the origin) of the
+%% far corners of the cube along the x axis from the arguments
+   \pgfmathsetmacro{\dy}{#1+#6}%
+%% calculates the 'displacement' (distance from the origin) of the
+%% far corners of the cube along the y axis from the arguments
+   \pgfmathsetmacro{\dz}{#1+#7}%
+%% calculates the 'displacement' (distance from the origin) of the
+%% far corners of the cube along the z axis from the arguments
+%% Draw FRONT face   (using the X colour = #4)
+    \draw[line join=round,line cap=round,ultra thick,fill=#4]%
+ (#5,#6,\dz) -- (\dx,#6,\dz) -- (\dx,\dy,\dz) -- (#5,\dy,\dz) -- cycle;
+%% The 'rectangle' command does not work with 3D coordinates,
+%% so this is the way to draw the squres with space coordinates
+%% Draw UP face (using the Y colour = #3)
+   \draw[line join=round,line cap=round,ultra thick,fill=#3]%
+ (#5,\dy,\dz) -- (\dx,\dy,\dz) -- (\dx,\dy,#7) -- (#5,\dy,#7) -- cycle;
+%% Draw RIGHT face   (using the X colour = #2)
+ \draw[line join=round,line cap=round,ultra thick,fill=#2]%
+ (\dx,#6,\dz) -- (\dx,#6,#7) -- (\dx,\dy,#7) -- (\dx,\dy,\dz) -- cycle;
+    }
+\newcommand{\Cubiedx}[1]{\pgfmathsetmacro{\cx}{#1}}
+\newcommand{\Cubiedy}[1]{\pgfmathsetmacro{\cy}{#1}}
+\Cubiedx{0.4}
+\Cubiedy{0.4}
+\newcommand{\DrawCubieRU}[3]{%
+%% Front face (z)
+\draw[line join=round,line cap=round,ultra thick,fill=#3]%
+ (0,0) -- (0, 1) -- (1, 1) -- (1,0) -- cycle;
+%% Up face(y)
+\draw[line join=round,line cap=round,ultra thick,fill=#2]%
+ (0,1) -- (\cx, 1+\cy) -- (1+\cx,1+\cy) -- (1,1) -- cycle;
+%% Right face(x)
+\draw[line join=round,line cap=round,ultra thick,fill=#1]%
+ (1,0) -- (1,1) -- (1+\cx,1+\cy) -- (1+\cx, \cy) -- cycle;
+}
+\newcommand{\DrawCubieRD}[3]{%
+%% Front face (z)
+\draw[line join=round,line cap=round,ultra thick,fill=#3]%
+ (0,0) -- (0, 1) -- (1, 1) -- (1,0) -- cycle;
+%% Down face (y)
+\draw[line join=round,line cap=round,ultra thick,fill=#2]%
+ (\cx,-\cy) -- (0, 0) -- (1,0) -- (1+\cx,-\cy) -- cycle;
+%% Right face (x)
+\draw[line join=round,line cap=round,ultra thick,fill=#1]%
+ (1,0) -- (1,1) -- (1+\cx,-\cy+1) -- (1+\cx, -\cy) -- cycle;
+}
+\newcommand{\DrawCubieLD}[3]{%
+%% Front face (z)
+\draw[line join=round,line cap=round,ultra thick,fill=#3]%
+ (0,0) -- (0, 1) -- (1, 1) -- (1,0) -- cycle;
+%% Down face (y)
+\draw[line join=round,line cap=round,ultra thick,fill=#2]%
+ (-\cx,-\cy) -- (0, 0) -- (1,0) -- (1-\cx,-\cy) -- cycle;
+%% Left face (x)
+\draw[line join=round,line cap=round,ultra thick,fill=#1]%
+ (-\cx,-\cy) -- (-\cx,-\cy+1) -- (0,1) -- (0,0) -- cycle;
+}
+\newcommand{\DrawCubieLU}[3]{%
+%% Front face (z)
+\draw[line join=round,line cap=round,ultra thick,fill=#3]%
+ (0,0) -- (0, 1) -- (1, 1) -- (1,0) -- cycle;
+%% Up face (y)
+\draw[line join=round,line cap=round,ultra thick,fill=#2]%
+ (-\cx,1+\cy) -- (1-\cx, 1+\cy) -- (1,1) -- (0,1) -- cycle;
+%% Left face (x)
+\draw[line join=round,line cap=round,ultra thick,fill=#1]%
+ (-\cx, \cy) -- (-\cx,\cy+1) -- (0,1) -- (0,0) -- cycle;
+}
+\newcommand{\textCubieRU}[3]{%
+\begin{minipage}{0.66cm}
+\centering
+\begin{tikzpicture}[scale=0.5]
+\Cubiedx{0.4}\Cubiedy{0.4}
+\DrawCubieRU{#1}{#2}{#3}
+\end{tikzpicture}
+\end{minipage}
+}
+\newcommand{\textCubieRD}[3]{%
+\begin{minipage}{0.66cm}
+\centering
+\begin{tikzpicture}[scale=0.5]
+\Cubiedx{0.4}\Cubiedy{0.4}
+\DrawCubieRD{#1}{#2}{#3}
+\end{tikzpicture}
+\end{minipage}
+}
+\newcommand{\textCubieLD}[3]{%
+\begin{minipage}{0.66cm}
+\centering
+\begin{tikzpicture}[scale=0.5]
+\Cubiedx{0.4}\Cubiedy{0.4}
+\DrawCubieLD{#1}{#2}{#3}
+\end{tikzpicture}
+\end{minipage}
+}
+\newcommand{\textCubieLU}[3]{%
+\begin{minipage}{0.66cm}
+\centering
+\begin{tikzpicture}[scale=0.5]
+\Cubiedx{0.4}\Cubiedy{0.4}
+\DrawCubieLU{#1}{#2}{#3}
+\end{tikzpicture}
+\end{minipage}
+}
+\newcommand{\DrawNotationBox}{%
+  \draw [thick] (0,0) -- (0,1) -- (1,1) -- (1,0) -- (0,0) -- (0,1)%
+}
+\pgfmathsetmacro{\sd}{0.25} % horiz space
+\pgfmathsetmacro{\sdd}{2*\sd}
+\pgfmathsetmacro{\sddd}{3*\sd}
+\pgfmathsetmacro{\sh}{0.6} % height
+\pgfmathsetmacro{\sb}{0.2} % base
+\pgfmathsetmacro{\sbh}{\sb + \sh} % UP
+\pgfmathsetmacro{\scx}{\sdd+0.2} % Start of CircleX
+\pgfmathsetmacro{\scy}{\sd*2/3}  % Start of CircleY
+\pgfmathsetmacro{\sqcx}{\scx-0.13} %% SQuare CenterX
+\pgfmathsetmacro{\sqcy}{\scy+0.25} %% SQuare CenterY
+\newcommand{\rrB}{\@rr{B}}
+\newcommand{\SquareB}{\@SquareLetter{\rrB}}
+\newcommand{\rrhB}{\raisebox{-0.25mm}{\SquareB}\,}
+\newcommand{\RubikB}{\raisebox{\@hRubik}{\SquareB}\,}
+\newcommand{\textRubikB}{\rrhB\,}
+\newcommand{\rrBp}{\@rrp{B}}
+\newcommand{\SquareBp}{\@SquareLetter{\rrBp}}
+\newcommand{\rrhBp}{\raisebox{-0.25mm}{\SquareBp}\,}
+\newcommand{\RubikBp}{\raisebox{\@hRubik}{\SquareBp}\,}
+\newcommand{\textRubikBp}{\rrhBp\,}
+\newcommand{\rrBw}{\@rrw{B}}
+\newcommand{\SquareBw}{\@SquareLetter{\rrBw}}
+\newcommand{\rrhBw}{\raisebox{-0.25mm}{\SquareBw}\,}
+\newcommand{\RubikBw}{\raisebox{\@hRubik}{\SquareBw}\,}
+\newcommand{\textRubikBw}{\rrhBw\,}
+\newcommand{\rrBwp}{\@rrwp{B}}
+\newcommand{\SquareBwp}{\@SquareLetter{\rrBwp}}
+\newcommand{\rrhBwp}{\raisebox{-0.25mm}{\SquareBwp}\,}
+\newcommand{\RubikBwp}{\raisebox{\@hRubik}{\SquareBwp}\,}
+\newcommand{\textRubikBwp}{\rrhBwp\,}
+\newcommand{\rrBs}{\@rrs{B}}
+\newcommand{\SquareBs}{\@SquareLetter{\rrBs}}
+\newcommand{\rrhBs}{\raisebox{-0.25mm}{\SquareBs}\,}
+\newcommand{\RubikBs}{\raisebox{\@hRubik}{\SquareBs}\,}
+\newcommand{\textRubikBs}{\rrhBs\,}
+\newcommand{\rrBsp}{\@rrsp{B}}
+\newcommand{\SquareBsp}{\@SquareLetter{\rrBsp}}
+\newcommand{\rrhBsp}{\raisebox{-0.25mm}{\SquareBsp}\,}
+\newcommand{\RubikBsp}{\raisebox{\@hRubik}{\SquareBsp}\,}
+\newcommand{\textRubikBsp}{\rrhBsp\,}
+\newcommand{\rrBa}{\@rra{B}}
+\newcommand{\SquareBa}{\@SquareLetter{\rrBa}}
+\newcommand{\rrhBa}{\raisebox{-0.25mm}{\SquareBa}\,}
+\newcommand{\RubikBa}{\raisebox{\@hRubik}{\SquareBa}\,}
+\newcommand{\textRubikBa}{\rrhBa\,}
+\newcommand{\rrBap}{\@rrap{B}}
+\newcommand{\SquareBap}{\@SquareLetter{\rrBap}}
+\newcommand{\rrhBap}{\raisebox{-0.25mm}{\SquareBap}\,}
+\newcommand{\RubikBap}{\raisebox{\@hRubik}{\SquareBap}\,}
+\newcommand{\textRubikBap}{\rrhBap\,}
+\newcommand{\rrD}{\textbf{\textsf{D}}}
+%%
+\newcommand{\SquareD}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick] (\sb,\sddd) -- (\sbh, \sddd);
+\draw [thick]     (\sb,\sdd) --  (\sbh, \sdd);
+\draw [thick, ->]     (\sb,\sd) --   (\sbh, \sd);
+\end{tikzpicture}%%
+}
+\newcommand{\rrhD}{\raisebox{-0.333\height}{\SquareD}\,}
+%%
+\newcommand{\RubikD}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareD\\
+\rrD
+\end{minipage}%
+}
+\newcommand{\textRubikD}{\rrD\,\rrhD}
+\newcommand{\rrDp}{\textbf{\textsf{D}$^\prime$}}
+%%
+\newcommand{\SquareDp}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick]     (\sb,\sddd) -- (\sbh, \sddd);
+\draw [thick]     (\sb,\sdd)  -- (\sbh, \sdd);
+\draw [thick, <-] (\sb,\sd)   -- (\sbh, \sd);
+\end{tikzpicture}%
+}
+\newcommand{\rrhDp}{\raisebox{-0.333\height}{\SquareDp}\,}
+%%
+\newcommand{\RubikDp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareDp\\
+\rrDp
+\end{minipage}%
+}
+\newcommand{\textRubikDp}{\rrDp\,\rrhDp}
+\newcommand{\rrDw}{\textbf{\textsf{D\footnotesize{w}}}}
+%%
+\newcommand{\SquareDw}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick]     (\sb,\sddd) -- (\sbh, \sddd);
+\draw [thick, ->] (\sb,\sdd) --  (\sbh, \sdd);
+\draw [thick, ->] (\sb,\sd) --   (\sbh, \sd);
+\end{tikzpicture}%
+}
+\newcommand{\rrhDw}{\raisebox{-0.333\height}{\SquareDw}\,}
+%%
+\newcommand{\RubikDw}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareDw\\
+\rrDw
+\end{minipage}%
+}
+\newcommand{\textRubikDw}{\rrDw\,\rrhDw}
+\newcommand{\rrDwp}{\textbf{\textsf{D\footnotesize{w}}$^\prime$}}
+%%
+\newcommand{\SquareDwp}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick]     (\sb,\sddd) -- (\sbh, \sddd);
+\draw [thick, <-] (\sb,\sdd)  -- (\sbh, \sdd);
+\draw [thick, <-] (\sb,\sd)   -- (\sbh, \sd);
+\end{tikzpicture}%
+}
+\newcommand{\rrhDwp}{\raisebox{-0.333\height}{\SquareDwp}\,}
+%%
+\newcommand{\RubikDwp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareDwp\\
+\rrDwp
+\end{minipage}%
+}
+\newcommand{\textRubikDwp}{\rrDwp\,\rrhDwp}
+\newcommand{\rrDs}{\@rrs{D}}
+%%
+\newcommand{\SquareDs}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, ->] (\sb,\sddd) -- (\sbh, \sddd);
+\draw [thick]     (\sb,\sdd) --  (\sbh, \sdd);
+\draw [thick, ->]     (\sb,\sd) --   (\sbh, \sd);
+\end{tikzpicture}%
+}
+\newcommand{\rrhDs}{\raisebox{-0.333\height}{\SquareDs}\,}
+%%
+\newcommand{\RubikDs}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareDs\\
+\rrDs
+\end{minipage}%
+}
+\newcommand{\textRubikDs}{\rrDs\,\rrhDs}
+\newcommand{\rrDsp}{\@rrsp{D}}
+%%
+\newcommand{\SquareDsp}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, <-] (\sb,\sddd) -- (\sbh, \sddd);
+\draw [thick]     (\sb,\sdd) --  (\sbh, \sdd);
+\draw [thick, <-]     (\sb,\sd) --   (\sbh, \sd);
+\end{tikzpicture}%
+}
+\newcommand{\rrhDsp}{\raisebox{-0.333\height}{\SquareDsp}\,}
+%%
+\newcommand{\RubikDsp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareDsp\\
+\rrDsp
+\end{minipage}%
+}
+\newcommand{\textRubikDsp}{\rrDsp\,\rrhDsp}
+\newcommand{\rrDa}{\@rra{D}}
+%%
+\newcommand{\SquareDa}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, <-] (\sb,\sddd) -- (\sbh, \sddd);
+\draw [thick]     (\sb,\sdd) --  (\sbh, \sdd);
+\draw [thick, ->]     (\sb,\sd) --   (\sbh, \sd);
+\end{tikzpicture}%
+}
+\newcommand{\rrhDa}{\raisebox{-0.333\height}{\SquareDa}\,}
+%%
+\newcommand{\RubikDa}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareDa\\
+\rrDa
+\end{minipage}%
+}
+\newcommand{\textRubikDa}{\rrDa\,\rrhDa}
+\newcommand{\rrDap}{\@rrap{D}}
+%%
+\newcommand{\SquareDap}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, ->] (\sb,\sddd) -- (\sbh, \sddd);
+\draw [thick]     (\sb,\sdd) --  (\sbh, \sdd);
+\draw [thick, <-]     (\sb,\sd) --   (\sbh, \sd);
+\end{tikzpicture}%
+}
+\newcommand{\rrhDap}{\raisebox{-0.333\height}{\SquareDap}\,}
+%%
+\newcommand{\RubikDap}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareDap\\
+\rrDap
+\end{minipage}%
+}
+\newcommand{\textRubikDap}{\rrDap\,\rrhDap}
+\newcommand{\rrE}{\textbf{\textsf{E}}}
+%%
+\newcommand{\SquareE}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick] (\sb,\sddd) -- (\sbh, \sddd);
+\draw [thick, ->]     (\sb,\sdd) --  (\sbh, \sdd);
+\draw [thick]     (\sb,\sd) --   (\sbh, \sd);
+\end{tikzpicture}%
+}
+\newcommand{\rrhE}{\raisebox{-0.333\height}{\SquareE}\,}
+%%
+\newcommand{\RubikE}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareE\\
+\rrE
+\end{minipage}%
+}
+\newcommand{\textRubikE}{\rrE\,\rrhE}
+\newcommand{\rrEp}{\textbf{\textsf{E}$^\prime$}}
+%%
+\newcommand{\SquareEp}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick] (\sb,\sddd) -- (\sbh, \sddd);
+\draw [thick, <-]     (\sb,\sdd) --  (\sbh, \sdd);
+\draw [thick]     (\sb,\sd) --   (\sbh, \sd);
+\end{tikzpicture}%
+}
+\newcommand{\rrhEp}{\raisebox{-0.333\height}{\SquareEp}\,}
+%%
+\newcommand{\RubikEp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareEp\\
+\rrEp
+\end{minipage}%
+}
+\newcommand{\textRubikEp}{\rrEp\,\rrhEp}
+\newcommand{\rrF}{\textbf{\textsf{F}}}
+%%
+\newcommand{\SquareF}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, <-] (\scx, \scy) arc[radius=0.35, start angle=-60, delta angle=290];
+\end{tikzpicture}%
+}
+\newcommand{\rrhF}{\raisebox{-0.333\height}{\SquareF}\,}
+%%
+\newcommand{\RubikF}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareF\\
+\rrF
+\end{minipage}%
+}
+\newcommand{\textRubikF}{\rrF\,\rrhF}
+\newcommand{\rrFp}{\textbf{\textsf{F}$^\prime$}}
+%%
+\newcommand{\SquareFp}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, ->] (\scx, \scy) arc[radius=0.35, start angle=-60, delta angle=290];
+\end{tikzpicture}%
+}
+\newcommand{\rrhFp}{\raisebox{-0.333\height}{\SquareFp}\,}
+%%
+\newcommand{\RubikFp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareFp\\
+\rrFp
+\end{minipage}%
+}
+\newcommand{\textRubikFp}{\rrFp\,\rrhFp}
+\newcommand{\rrFw}{\textbf{\textsf{F\footnotesize{w}}}}
+%%
+\newcommand{\SquareFw}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, <-] (\scx, \scy) arc[radius=0.35, start angle=-60, delta angle=290];
+\draw [thick] (\sqcx,\sqcy) arc[radius=0.1, start angle=-60, delta angle=360];
+\end{tikzpicture}%
+}
+\newcommand{\rrhFw}{\raisebox{-0.333\height}{\SquareFw}\,}
+%%
+\newcommand{\RubikFw}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareFw\\
+\rrFw
+\end{minipage}%
+}
+\newcommand{\textRubikFw}{\rrFw\,\rrhFw}
+\newcommand{\rrFwp}{\textbf{\textsf{F\footnotesize{w}}$^\prime$}}
+%%
+\newcommand{\SquareFwp}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, ->] (\scx, \scy) arc[radius=0.35, start angle=-60, delta angle=290];
+\draw [thick] (\sqcx,\sqcy) arc[radius=0.1, start angle=-60, delta angle=360];
+\end{tikzpicture}%
+}
+\newcommand{\rrhFwp}{\raisebox{-0.333\height}{\SquareFwp}\,}
+%%
+\newcommand{\RubikFwp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareFwp\\
+\rrFwp
+\end{minipage}%
+}
+\newcommand{\textRubikFwp}{\rrFwp\,\rrhFwp}
+%%
+\newcommand{\rrFs}{\@rrs{F}}
+\newcommand{\SquareFs}{\@SquareLetter{\rrFs}}
+\newcommand{\rrhFs}{\raisebox{-0.25mm}{\SquareFs}\,}
+\newcommand{\RubikFs}{\raisebox{\@hRubik}{\SquareFs}\,}
+\newcommand{\textRubikFs}{\rrhFs\,}
+\newcommand{\rrFsp}{\@rrsp{F}}
+\newcommand{\SquareFsp}{\@SquareLetter{\rrFsp}}
+\newcommand{\rrhFsp}{\raisebox{-0.25mm}{\SquareFsp}\,}
+\newcommand{\RubikFsp}{\raisebox{\@hRubik}{\SquareFsp}\,}
+\newcommand{\textRubikFsp}{\rrhFsp\,}
+\newcommand{\rrFa}{\@rra{F}}
+\newcommand{\SquareFa}{\@SquareLetter{\rrFa}}
+\newcommand{\rrhFa}{\raisebox{-0.25mm}{\SquareFa}\,}
+\newcommand{\RubikFa}{\raisebox{\@hRubik}{\SquareFa}\,}
+\newcommand{\textRubikFa}{\rrhFa\,}
+\newcommand{\rrFap}{\@rrap{F}}
+\newcommand{\SquareFap}{\@SquareLetter{\rrFap}}
+\newcommand{\rrhFap}{\raisebox{-0.25mm}{\SquareFap}\,}
+\newcommand{\RubikFap}{\raisebox{\@hRubik}{\SquareFap}\,}
+\newcommand{\textRubikFap}{\rrhFap\,}
+\newcommand{\rrL}{\textbf{\textsf{L}}}
+%%
+\newcommand{\SquareL}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, <-] (\sd, \sb) -- (\sd, \sbh);
+\draw [thick] (\sdd,\sb) -- (\sdd, \sbh);
+\draw [thick] (\sddd, \sb) -- (\sddd, \sbh);
+\end{tikzpicture}%
+}
+\newcommand{\rrhL}{\raisebox{-0.333\height}{\SquareL}\,}
+%%
+\newcommand{\RubikL}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareL\\
+\rrL
+\end{minipage}%
+}
+\newcommand{\textRubikL}{\rrL\,\rrhL}
+\newcommand{\rrLp}{\textbf{\textsf{L}$^\prime$}}
+%%
+\newcommand{\SquareLp}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick,->] (\sd, \sb) -- (\sd, \sbh);
+\draw [thick] (\sdd,\sb) -- (\sdd, \sbh);
+\draw [thick] (\sddd, \sb) -- (\sddd, \sbh);
+\end{tikzpicture}%
+}
+\newcommand{\rrhLp}{\raisebox{-0.333\height}{\SquareLp}\,}
+%%
+\newcommand{\RubikLp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareLp\\
+\rrLp
+\end{minipage}%
+}
+\newcommand{\textRubikLp}{\rrLp\,\rrhLp}
+\newcommand{\rrLw}{\textbf{\textsf{L\footnotesize{w}}}}
+%%
+\newcommand{\SquareLw}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, <-] (\sd, \sb) -- (\sd, \sbh);
+\draw [thick, <-] (\sdd,\sb) -- (\sdd, \sbh);
+\draw [thick] (\sddd, \sb) -- (\sddd, \sbh);
+\end{tikzpicture}%
+}
+\newcommand{\rrhLw}{\raisebox{-0.333\height}{\SquareLw}\,}
+%%
+\newcommand{\RubikLw}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareLw\\
+\rrLw
+\end{minipage}%
+}
+\newcommand{\textRubikLw}{\rrLw\,\rrhLw}
+\newcommand{\rrLwp}{\textbf{\textsf{L\footnotesize{w}}$^\prime$}}
+%%
+\newcommand{\SquareLwp}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick,->] (\sd, \sb) -- (\sd, \sbh);
+\draw [thick,->] (\sdd,\sb) -- (\sdd, \sbh);
+\draw [thick] (\sddd, \sb) -- (\sddd, \sbh);
+\end{tikzpicture}%
+}
+\newcommand{\rrhLwp}{\raisebox{-0.333\height}{\SquareLwp}\,}
+%%
+\newcommand{\RubikLwp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareLwp\\
+\rrLwp
+\end{minipage}%
+}
+\newcommand{\textRubikLwp}{\rrLwp\,\rrhLwp}
+\newcommand{\rrLs}{\@rrs{L}}
+%%
+\newcommand{\SquareLs}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, <-] (\sd, \sb) -- (\sd, \sbh);
+\draw [thick] (\sdd,\sb) -- (\sdd, \sbh);
+\draw [thick, <-] (\sddd, \sb) -- (\sddd, \sbh);
+\end{tikzpicture}%
+}
+\newcommand{\rrhLs}{\raisebox{-0.333\height}{\SquareLs}\,}
+%%
+\newcommand{\RubikLs}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareLs\\
+\rrLs
+\end{minipage}%
+}
+\newcommand{\textRubikLs}{\rrLs\,\rrhLs}
+\newcommand{\rrLsp}{\@rrsp{L}}
+%%
+\newcommand{\SquareLsp}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, ->] (\sd, \sb) -- (\sd, \sbh);
+\draw [thick] (\sdd,\sb) -- (\sdd, \sbh);
+\draw [thick, ->] (\sddd, \sb) -- (\sddd, \sbh);
+\end{tikzpicture}%
+}
+\newcommand{\rrhLsp}{\raisebox{-0.333\height}{\SquareLsp}\,}
+%%
+\newcommand{\RubikLsp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareLsp\\
+\rrLsp
+\end{minipage}%
+}
+\newcommand{\textRubikLsp}{\rrLsp\,\rrhLsp}
+\newcommand{\rrLa}{\@rra{L}}
+%%
+\newcommand{\SquareLa}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, <-] (\sd, \sb) -- (\sd, \sbh);
+\draw [thick] (\sdd,\sb) -- (\sdd, \sbh);
+\draw [thick, ->] (\sddd, \sb) -- (\sddd, \sbh);
+\end{tikzpicture}%
+}
+\newcommand{\rrhLa}{\raisebox{-0.333\height}{\SquareLa}\,}
+%%
+\newcommand{\RubikLa}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareLa\\
+\rrLa
+\end{minipage}%
+}
+\newcommand{\textRubikLa}{\rrLa\,\rrhLa}
+\newcommand{\rrLap}{\@rrap{L}}
+%%
+\newcommand{\SquareLap}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, ->] (\sd, \sb) -- (\sd, \sbh);
+\draw [thick] (\sdd,\sb) -- (\sdd, \sbh);
+\draw [thick, <-] (\sddd, \sb) -- (\sddd, \sbh);
+\end{tikzpicture}%
+}
+\newcommand{\rrhLap}{\raisebox{-0.333\height}{\SquareLap}\,}
+%%
+\newcommand{\RubikLap}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareLap\\
+\rrLap
+\end{minipage}%
+}
+\newcommand{\textRubikLap}{\rrLap\,\rrhLap}
+\newcommand{\rrM}{\textbf{\textsf{M}}}
+%%
+\newcommand{\SquareM}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick] (\sd, \sb) -- (\sd, \sbh);
+\draw [thick, <-] (\sdd,\sb) -- (\sdd, \sbh);
+\draw [thick] (\sddd, \sb) -- (\sddd, \sbh);
+\end{tikzpicture}%
+}
+\newcommand{\rrhM}{\raisebox{-0.333\height}{\SquareM}\,}
+%%
+\newcommand{\RubikM}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareM\\
+\rrM
+\end{minipage}%
+}
+\newcommand{\textRubikM}{\rrM\,\rrhM}
+\newcommand{\rrMp}{\textbf{\textsf{M}$^\prime$}}
+%%
+\newcommand{\SquareMp}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick] (\sd, \sb) -- (\sd, \sbh);
+\draw [thick,->] (\sdd,\sb) -- (\sdd, \sbh);
+\draw [thick] (\sddd, \sb) -- (\sddd, \sbh);
+\end{tikzpicture}%
+}
+\newcommand{\rrhMp}{\raisebox{-0.333\height}{\SquareMp}\,}
+%%
+\newcommand{\RubikMp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareMp\\
+\rrMp
+\end{minipage}%
+}
+\newcommand{\textRubikMp}{\rrMp\,\rrhMp}
+\newcommand{\rrR}{\textbf{\textsf{R}}}
+%%
+\newcommand{\SquareR}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+%% draw three lines in the square, one with an arrow
+\draw [thick] (\sd, \sb) -- (\sd, \sbh);
+\draw [thick] (\sdd,\sb) -- (\sdd, \sbh);
+\draw [thick, ->] (\sddd, \sb) -- (\sddd, \sbh);
+\end{tikzpicture}%
+}
+\newcommand{\rrhR}{\raisebox{-0.333\height}{\SquareR}\,}
+%%
+\newcommand{\RubikR}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareR\\
+\rrR
+\end{minipage}%
+}
+\newcommand{\textRubikR}{\rrR\,\rrhR}
+\newcommand{\rrRp}{\textbf{\textsf{R}$^\prime$}}
+%%
+\newcommand{\SquareRp}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick] (\sd, \sb) -- (\sd, \sbh);
+\draw [thick] (\sdd,\sb) -- (\sdd, \sbh);
+\draw [thick, <-] (\sddd, \sb) -- (\sddd, \sbh);
+\end{tikzpicture}%
+}
+\newcommand{\rrhRp}{\raisebox{-0.333\height}{\SquareRp}\,}
+%%
+\newcommand{\RubikRp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareRp\\
+\rrRp
+\end{minipage}%
+}
+\newcommand{\textRubikRp}{\rrRp\,\rrhRp}
+\newcommand{\rrRw}{\textbf{\textsf{R\footnotesize{w}}}}
+%%
+\newcommand{\SquareRw}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick] (\sd, \sb) -- (\sd, \sbh);
+\draw [thick, ->] (\sdd,\sb) -- (\sdd, \sbh);
+\draw [thick, ->] (\sddd, \sb) -- (\sddd, \sbh);
+\end{tikzpicture}%
+}
+\newcommand{\rrhRw}{\raisebox{-0.333\height}{\SquareRw}\,}
+%%
+\newcommand{\RubikRw}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareRw\\
+\rrRw
+\end{minipage}%
+}
+\newcommand{\textRubikRw}{\rrRw\,\rrhRw}
+\newcommand{\rrRwp}{\textbf{\textsf{R\footnotesize{w}}$^\prime$}}
+%%
+\newcommand{\SquareRwp}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick] (\sd, \sb) -- (\sd, \sbh);
+\draw [thick, <-] (\sdd,\sb) -- (\sdd, \sbh);
+\draw [thick, <-] (\sddd, \sb) -- (\sddd, \sbh);
+\end{tikzpicture}%
+}
+\newcommand{\rrhRwp}{\raisebox{-0.333\height}{\SquareRwp}\,}
+%%
+\newcommand{\RubikRwp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareRwp\\
+\rrRwp
+\end{minipage}%
+}
+\newcommand{\textRubikRwp}{\rrRwp\,\rrhRwp}
+\newcommand{\rrRs}{\@rrs{R}}
+%%
+\newcommand{\SquareRs}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick,->] (\sd, \sb) -- (\sd, \sbh);
+\draw [thick] (\sdd,\sb) -- (\sdd, \sbh);
+\draw [thick,->] (\sddd, \sb) -- (\sddd, \sbh);
+\end{tikzpicture}%
+}
+\newcommand{\rrhRs}{\raisebox{-0.333\height}{\SquareRs}\,}
+%%
+\newcommand{\RubikRs}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareRs\\
+\rrRs
+\end{minipage}%
+}
+\newcommand{\textRubikRs}{\rrRs\,\rrhRs}
+\newcommand{\rrRsp}{\@rrsp{R}}
+%%
+\newcommand{\SquareRsp}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick,<-] (\sd, \sb) -- (\sd, \sbh);
+\draw [thick] (\sdd,\sb) -- (\sdd, \sbh);
+\draw [thick,<-] (\sddd, \sb) -- (\sddd, \sbh);
+\end{tikzpicture}%
+}
+\newcommand{\rrhRsp}{\raisebox{-0.333\height}{\SquareRsp}\,}
+%%
+\newcommand{\RubikRsp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareRsp\\
+\rrRsp
+\end{minipage}%
+}
+\newcommand{\textRubikRsp}{\rrRsp\,\rrhRsp}
+\newcommand{\rrRa}{\@rra{R}}
+%%
+\newcommand{\SquareRa}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick,<-] (\sd, \sb) -- (\sd, \sbh);
+\draw [thick] (\sdd,\sb) -- (\sdd, \sbh);
+\draw [thick,->] (\sddd, \sb) -- (\sddd, \sbh);
+\end{tikzpicture}%
+}
+\newcommand{\rrhRa}{\raisebox{-0.333\height}{\SquareRa}\,}
+%%
+\newcommand{\RubikRa}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareRa\\
+\rrRa
+\end{minipage}%
+}
+\newcommand{\textRubikRa}{\rrRa\,\rrhRa}
+\newcommand{\rrRap}{\@rrap{R}}
+%%
+\newcommand{\SquareRap}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick,->] (\sd, \sb) -- (\sd, \sbh);
+\draw [thick] (\sdd,\sb) -- (\sdd, \sbh);
+\draw [thick,<-] (\sddd, \sb) -- (\sddd, \sbh);
+\end{tikzpicture}%
+}
+\newcommand{\rrhRap}{\raisebox{-0.333\height}{\SquareRap}\,}
+%%
+\newcommand{\RubikRap}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareRap\\
+\rrRap
+\end{minipage}%
+}
+\newcommand{\textRubikRap}{\rrRap\,\rrhRap}
+\newcommand{\rrS}{\@rr{S}}
+\newcommand{\SquareS}{\@SquareLetter{\rrS}}
+\newcommand{\rrhS}{\raisebox{-0.25mm}{\SquareS}\,}
+\newcommand{\RubikS}{\raisebox{\@hRubik}{\SquareS}\,}
+\newcommand{\textRubikS}{\rrhS\,}
+\newcommand{\rrSp}{\@rrp{S}}
+\newcommand{\SquareSp}{\@SquareLetter{\rrSp}}
+\newcommand{\rrhSp}{\raisebox{-0.25mm}{\SquareSp}\,}
+\newcommand{\RubikSp}{\raisebox{\@hRubik}{\SquareSp}\,}
+\newcommand{\textRubikSp}{\rrhSp\,}
+\newcommand{\rrSu}{\textbf{\textsf{S\footnotesize{u}}}}
+\newcommand{\rrhSu}{\rrhEp}%
+\newcommand{\RubikSu}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareEp\\
+\rrSu
+\end{minipage}%
+}
+\newcommand{\textRubikSu}{\rrSu\,\rrhEp}
+\newcommand{\rrSup}{\textbf{\textsf{S\footnotesize{u}}$^\prime$}}
+\newcommand{\rrhSup}{\rrhE}%
+\newcommand{\RubikSup}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareE\\
+\rrSup
+\end{minipage}%
+}
+\newcommand{\textRubikSup}{\rrSup\,\rrhE}
+\newcommand{\rrSd}{\textbf{\textsf{S\footnotesize{d}}}}
+\newcommand{\rrhSd}{\rrhE}%
+\newcommand{\RubikSd}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareE\\
+\rrSd
+\end{minipage}%
+}
+\newcommand{\textRubikSd}{\rrSd\,\rrhE}
+\newcommand{\rrSdp}{\textbf{\textsf{S\footnotesize{d}}$^\prime$}}
+\newcommand{\rrhSdp}{\rrhEp}%
+\newcommand{\RubikSdp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareEp\\
+\rrSdp
+\end{minipage}%
+}
+\newcommand{\textRubikSdp}{\rrSdp\,\rrhEp}
+\newcommand{\rrSl}{\textbf{\textsf{S\footnotesize{l}}}}
+\newcommand{\rrhSl}{\rrhM}%
+\newcommand{\RubikSl}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareM\\
+\rrSl
+\end{minipage}%
+}
+\newcommand{\textRubikSl}{\rrSl\,\rrhM}
+\newcommand{\rrSlp}{\textbf{\textsf{S\footnotesize{l}}$^\prime$}}
+\newcommand{\rrhSlp}{\rrhMp}%
+\newcommand{\RubikSlp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareMp\\
+\rrSlp
+\end{minipage}%
+}
+\newcommand{\textRubikSlp}{\rrSlp\,\rrhMp}
+\newcommand{\rrSr}{\textbf{\textsf{S\footnotesize{r}}}}
+\newcommand{\rrhSr}{\rrhMp}%
+\newcommand{\RubikSr}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareMp\\
+\rrSr
+\end{minipage}%
+}
+\newcommand{\textRubikSr}{\rrSr\,\rrhMp}
+\newcommand{\rrSrp}{\textbf{\textsf{S\footnotesize{r}}$^\prime$}}
+\newcommand{\rrhSrp}{\rrhM}%
+\newcommand{\RubikSrp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareM\\
+\rrSrp
+\end{minipage}%
+}
+\newcommand{\textRubikSrp}{\rrSrp\,\rrhM}
+\newcommand{\rrSf}{\textbf{\textsf{S\footnotesize{f}}}}
+\newcommand{\SquareSf}{\@SquareLetter{\rrSf}}
+\newcommand{\rrhSf}{\raisebox{-0.25mm}{\SquareSf}\,}
+\newcommand{\RubikSf}{\raisebox{\@hRubik}{\SquareSf}\,}
+\newcommand{\textRubikSf}{\rrhSf\,}
+\newcommand{\rrSfp}{\textbf{\textsf{S\footnotesize{f}}$^\prime$}}
+\newcommand{\SquareSfp}{\@SquareLetter{\rrSfp}}
+\newcommand{\rrhSfp}{\raisebox{-0.25mm}{\SquareSfp}\,}
+\newcommand{\RubikSfp}{\raisebox{\@hRubik}{\SquareSfp}\,}
+\newcommand{\textRubikSfp}{\rrhSfp\,}
+\newcommand{\rrSb}{\textbf{\textsf{S\footnotesize{b}}}}
+\newcommand{\SquareSb}{\@SquareLetter{\rrSb}}
+\newcommand{\rrhSb}{\raisebox{-0.25mm}{\SquareSb}\,}
+\newcommand{\RubikSb}{\raisebox{\@hRubik}{\SquareSb}\,}
+\newcommand{\textRubikSb}{\rrhSb\,}
+\newcommand{\rrSbp}{\textbf{\textsf{S\footnotesize{b}}$^\prime$}}
+\newcommand{\SquareSbp}{\@SquareLetter{\rrSbp}}
+\newcommand{\rrhSbp}{\raisebox{-0.25mm}{\SquareSbp}\,}
+\newcommand{\RubikSbp}{\raisebox{\@hRubik}{\SquareSbp}\,}
+\newcommand{\textRubikSbp}{\rrhSbp\,}
+\newcommand{\rrU}{\textbf{\textsf{U}}}
+%%
+\newcommand{\SquareU}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, <-] (\sb,\sddd) -- (\sbh, \sddd);
+\draw [thick]     (\sb,\sdd) --  (\sbh, \sdd);
+\draw [thick]     (\sb,\sd) --   (\sbh, \sd);
+\end{tikzpicture}%
+}
+\newcommand{\rrhU}{\raisebox{-0.333\height}{\SquareU}\,}
+%%
+\newcommand{\RubikU}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareU\\
+\rrU
+\end{minipage}%%
+}
+\newcommand{\textRubikU}{\rrU\,\rrhU}
+\newcommand{\rrUw}{\textbf{\textsf{U\footnotesize{w}}}}
+%%
+\newcommand{\SquareUw}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, <-] (\sb,\sddd) -- (\sbh, \sddd);
+\draw [thick, <-] (\sb,\sdd) --  (\sbh, \sdd);
+\draw [thick]     (\sb,\sd) --   (\sbh, \sd);
+\end{tikzpicture}%
+}
+\newcommand{\rrhUw}{\raisebox{-0.333\height}{\SquareUw}\,}
+%%
+\newcommand{\RubikUw}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareUw\\
+\rrUw
+\end{minipage}%%
+}
+%%
+\newcommand{\textRubikUw}{\rrUw\,\rrhUw}
+\newcommand{\rrUp}{\textbf{\textsf{U}$^\prime$}}
+%%
+\newcommand{\SquareUp}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, ->] (\sb,\sddd) -- (\sbh, \sddd);
+\draw [thick]     (\sb,\sdd) --  (\sbh, \sdd);
+\draw [thick]     (\sb,\sd) --   (\sbh, \sd);
+\end{tikzpicture}%
+}
+\newcommand{\rrhUp}{\raisebox{-0.333\height}{\SquareUp}\,}
+%%
+\newcommand{\RubikUp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareUp\\
+\rrUp
+\end{minipage}%%
+}
+\newcommand{\textRubikUp}{\rrUp\,\rrhUp}
+\newcommand{\rrUwp}{\textbf{\textsf{U\footnotesize{w}}$^\prime$}}
+%%
+\newcommand{\SquareUwp}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, ->] (\sb,\sddd) -- (\sbh, \sddd);
+\draw [thick, ->] (\sb,\sdd) --  (\sbh, \sdd);
+\draw [thick]     (\sb,\sd) --   (\sbh, \sd);
+\end{tikzpicture}%
+}
+\newcommand{\rrhUwp}{\raisebox{-0.333\height}{\SquareUwp}\,}
+%%
+\newcommand{\RubikUwp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareUwp\\
+\rrUwp
+\end{minipage}%%
+}
+\newcommand{\textRubikUwp}{\rrUwp\,\rrhUwp}
+\newcommand{\rrUs}{\@rrs{U}}
+%%
+\newcommand{\SquareUs}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, <-] (\sb,\sddd) -- (\sbh, \sddd);
+\draw [thick]     (\sb,\sdd) --  (\sbh, \sdd);
+\draw [thick, <-]     (\sb,\sd) --   (\sbh, \sd);
+\end{tikzpicture}%
+}
+\newcommand{\rrhUs}{\raisebox{-0.333\height}{\SquareUs}\,}
+%%
+\newcommand{\RubikUs}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareUs\\
+\rrUs
+\end{minipage}%
+}
+\newcommand{\textRubikUs}{\rrUs\,\rrhUs}
+\newcommand{\rrUsp}{\@rrsp{U}}
+%%
+\newcommand{\SquareUsp}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, ->] (\sb,\sddd) -- (\sbh, \sddd);
+\draw [thick]     (\sb,\sdd) --  (\sbh, \sdd);
+\draw [thick, ->]     (\sb,\sd) --   (\sbh, \sd);
+\end{tikzpicture}%
+}
+\newcommand{\rrhUsp}{\raisebox{-0.333\height}{\SquareUsp}\,}
+%%
+\newcommand{\RubikUsp}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareUsp\\
+\rrUsp
+\end{minipage}%
+}
+\newcommand{\textRubikUsp}{\rrUsp\,\rrhUsp}
+\newcommand{\rrUa}{\@rra{U}}
+%%
+\newcommand{\SquareUa}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, <-] (\sb,\sddd) -- (\sbh, \sddd);
+\draw [thick]     (\sb,\sdd) --  (\sbh, \sdd);
+\draw [thick, ->]     (\sb,\sd) --   (\sbh, \sd);
+\end{tikzpicture}%
+}
+\newcommand{\rrhUa}{\raisebox{-0.333\height}{\SquareUa}\,}
+%%
+\newcommand{\RubikUa}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareUa\\
+\rrUa
+\end{minipage}%
+}
+\newcommand{\textRubikUa}{\rrUa\,\rrhUa}
+\newcommand{\rrUap}{\@rrap{U}}
+%%
+\newcommand{\SquareUap}{%
+\begin{tikzpicture}[scale=0.5]
+\DrawNotationBox;
+\draw [thick, ->] (\sb,\sddd) -- (\sbh, \sddd);
+\draw [thick]     (\sb,\sdd) --  (\sbh, \sdd);
+\draw [thick, <-]     (\sb,\sd) --   (\sbh, \sd);
+\end{tikzpicture}%
+}
+\newcommand{\rrhUap}{\raisebox{-0.333\height}{\SquareUap}\,}
+%%
+\newcommand{\RubikUap}{%
+\begin{minipage}{0.6cm}
+\centering
+\SquareUap\\
+\rrUap
+\end{minipage}%
+}
+\newcommand{\textRubikUap}{\rrUap\,\rrhUap}
+\newcommand{\rrx}{\textbf{\textsf{x}}}
+\newcommand{\Rubikx}{\@xyzRubik{x}}
+\newcommand{\rrhx}{\@xyzh{x}}
+\newcommand{\rrxp}{\textbf{\textsf{x}$^\prime$}}
+\newcommand{\Rubikxp}{\@xyzRubikp{x}}
+\newcommand{\rrhxp}{\@xyzhp{x}}
+\newcommand{\rry}{\textbf{\textsf{y}}}
+\newcommand{\Rubiky}{\@xyzRubik{y}}
+\newcommand{\rrhy}{\@xyzh{y}}
+\newcommand{\rryp}{\textbf{\textsf{y}$^\prime$}}
+\newcommand{\Rubikyp}{\@xyzRubikp{y}}
+\newcommand{\rrhyp}{\@xyzhp{y}}
+\newcommand{\rrz}{\textbf{\textsf{z}}}
+\newcommand{\Rubikz}{\@xyzRubik{z}}
+\newcommand{\rrhz}{\@xyzh{z}}
+\newcommand{\rrzp}{\textbf{\textsf{z}$^\prime$}}
+\newcommand{\Rubikzp}{\@xyzRubikp{z}}
+\newcommand{\rrhzp}{\@xyzhp{z}}
+\newcommand{\rru}{\textbf{\textsf{u}}}
+\newcommand{\Rubiku}{\@xyzRubik{u}}
+\newcommand{\rrhu}{\@xyzh{u}}
+\newcommand{\rrd}{\textbf{\textsf{d}}}
+\newcommand{\Rubikd}{\@xyzRubik{d}}
+\newcommand{\rrhd}{\@xyzh{d}}
+\newcommand{\rrl}{\textbf{\textsf{l}}}
+\newcommand{\Rubikl}{\@xyzRubik{l}}
+\newcommand{\rrhl}{\@xyzh{l}}
+\newcommand{\rrr}{\textbf{\textsf{r}}}
+\newcommand{\Rubikr}{\@xyzRubik{r}}
+\newcommand{\rrhr}{\@xyzh{r}}
+\newcommand{\rrf}{\textbf{\textsf{f}}}
+\newcommand{\Rubikf}{\@xyzRubik{f}}
+\newcommand{\rrhf}{\@xyzh{f}}
+\newcommand{\rrb}{\textbf{\textsf{b}}}
+\newcommand{\Rubikb}{\@xyzRubik{b}}
+\newcommand{\rrhb}{\@xyzh{b}}
+\endinput
+%%
+%% End of file `rubikcube.sty'.
diff --git a/Master/texmf-dist/tex/latex/rubik/rubikrotation.sty b/Master/texmf-dist/tex/latex/rubik/rubikrotation.sty
new file mode 100644
index 00000000000..bbb8d0f1a43
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/rubik/rubikrotation.sty
@@ -0,0 +1,160 @@
+%%
+%% This is file `rubikrotation.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% rubikrotation.dtx  (with options: `rubikrotation')
+%% 
+%% -----------------------------------------------------------------
+%%   Authors: RWD Nickalls (dick@nickalls.org)
+%%           and Apostolos Syropoulos (asyropoulos@yahoo.com)
+%%   Copyright January 2014  RWD Nickalls and A Syropoulos
+%% 
+%% 
+%%   This work may be distributed and/or modified under the
+%%   conditions of the LaTeX Project Public License, either
+%%   version 1.3c of this license or (at your option) any
+%%   later version: <http://www.latex-project.org/lppl.txt>
+%% 
+%%   This work consists of the files listed in the README file.
+%% -----------------------------------------------------------------
+%% 
+%%   This is a LaTeX/TikZ package for drawing Rubik cubes
+%%   Please report errors or suggestions for improvement to
+%% 
+%%          RWD Nickalls  (dick@nickalls.org)
+%%          Apostolos Syropoulos (asyropoulos@yahoo.com)
+%% 
+%%  This package requires the basic TikZ package to be loaded already
+%% ------------------------------------------------------------------
+
+%%% \CharacterTable
+%%  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
+%%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
+%%   Digits        \0\1\2\3\4\5\6\7\8\9
+%%   Exclamation   \!     Double quote  \"     Hash (number) \#
+%%   Dollar        \$     Percent       \%     Ampersand     \&
+%%   Acute accent  \'     Left paren    \(     Right paren   \)
+%%   Asterisk      \*     Plus          \+     Comma         \,
+%%   Minus         \-     Point         \.     Solidus       \/
+%%   Colon         \:     Semicolon     \;     Less than     \<
+%%   Equals        \=     Greater than  \>     Question mark \?
+%%   Commercial at \@     Left bracket  \[     Backslash     \\
+%%   Right bracket \]     Circumflex    \^     Underscore    \_
+%%   Grave accent  \`     Left brace    \{     Vertical bar  \|
+%%   Right brace   \}     Tilde         \~}
+
+
+\def\RRfileversion{2.0}%
+\def\RRfiledate{2014/01/20}%
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{rubikrotation}[\RRfiledate\space (v\RRfileversion)]
+\@ifpackageloaded{rubikcube}{}{%
+   \typeout{---rubikrotation requires the rubikcube package.}%
+   }%
+\@ifpackageloaded{fancyvrb}{}{%
+   \typeout{---rubikrotation requires the fancyvrb package%
+       for VerbatimInput{} command.}%
+   \RequirePackage{fancyvrb}}
+\newcommand{\rubikrotation}{\textsf{rubikrotation}}
+{\catcode`\%=12   \global\def\rubikpercentchar{%}}%
+\newcommand{\@comment}{\rubikpercentchar\rubikpercentchar\space}%
+\newcommand{\@commentone}{\rubikpercentchar}%
+%% We need  a simple print command for writing comments to a file.
+\newcommand{\@print}[1]{\immediate\write\outfile{#1}}
+\newcommand{\rubikperlname}{rubikrotation.pl}
+\newcommand{\rubikperlcmd}{perl \rubikperlname}
+\typeout{---checking for config file (rubikrotation.cfg)...}
+\IfFileExists{rubikrotation.cfg}{%
+   \input{rubikrotation.cfg}%
+   }{\typeout{---no config file available}%
+}%
+\typeout{---cleaning file rubikstateNEW.dat}%
+\newwrite\outfile%
+\immediate\openout\outfile=rubikstateNEW.dat%
+\@print{\@comment rubikstateNEW.dat (by TeX)}%
+\immediate\closeout\outfile%
+\typeout{---creating file rubikstateERRORS.dat}%
+\newwrite\outfile%
+\immediate\openout\outfile=rubikstateERRORS.dat%
+\@print{\@comment rubikstateERRORS.dat}%
+\typeout{---checking for Perl script \rubikperlname...}
+   \IfFileExists{\rubikperlname}{%
+   \typeout{---\rubikperlname\space exists OK}%
+   }{\typeout{** ERROR: cannot find Perl program \rubikperlname}%
+    \@print{\@comment ** ERROR: cannot find Perl program \rubikperlname}}%
+\immediate\closeout\outfile%
+\typeout{---setting up newwrite for rubikrotation to use...}%
+\newwrite\outfile%
+\newcommand{\@openstatefile}{\immediate\openout\outfile=rubikstate.dat}
+\newcommand{\@closestatefile}{\immediate\closeout\outfile}
+\newcommand{\@printrubikstate}{%
+   \@print{up,\Ult,\Umt,\Urt,\Ulm,\Umm,\Urm,\Ulb,\Umb,\Urb}%
+   \@print{down,\Dlt,\Dmt,\Drt,\Dlm,\Dmm,\Drm,\Dlb,\Dmb,\Drb}%
+   \@print{left,\Llt,\Lmt,\Lrt,\Llm,\Lmm,\Lrm,\Llb,\Lmb,\Lrb}%
+   \@print{right,\Rlt,\Rmt,\Rrt,\Rlm,\Rmm,\Rrm,\Rlb,\Rmb,\Rrb}%
+   \@print{front,\Flt,\Fmt,\Frt,\Flm,\Fmm,\Frm,\Flb,\Fmb,\Frb}%
+   \@print{back,\Blt,\Bmt,\Brt,\Blm,\Bmm,\Brm,\Blb,\Bmb,\Brb}%
+   \@print{checkstate}%
+}
+\newcommand{\RubikRotation}[1]{\IfFileExists{\rubikperlname}{%
+   \typeout{---NEW rotation command------------------}%
+   \typeout{---command = RubikRotation{#1}}%
+   \typeout{---Perl script \rubikperlname\space exists OK}%
+   \typeout{---writing current Rubik state to file rubikstate.dat}%
+   \@openstatefile% open data file
+   \@print{\@comment filename: rubikstate.dat}%
+   \@printrubikstate%
+   \@print{rotation,#1}%
+   \@closestatefile% close data file
+   \typeout{---running Perl script}%
+   \immediate\write18{\rubikperlcmd}%
+   \typeout{---inputting NEW datafile (from Perl)}%
+   \input{rubikstateNEW.dat}%
+   \typeout{-----------------------------------------}%
+ }{\typeout{** ERROR: \rubikperlname\space does not exist}%
+}}
+\newcommand{\ShowRubikErrors}{%
+   \typeout{---ShowRubikErrors: inputting file rubikstateERRORS.dat}%
+   \VerbatimInput{rubikstateERRORS.dat}}
+\newcommand{\CheckRubikState}{\IfFileExists{\rubikperlname}{%
+   \typeout{---NEW check command------------------}%
+   \typeout{---command = CheckRubikState}%
+   \typeout{---Perl script \rubikperlname\space exists OK}%
+   \typeout{---writing current Rubik state to file rubikstate.dat}%
+   \@openstatefile% opens data file
+   \@print{\@comment filename: rubikstate.dat}%
+   \@printrubikstate%
+   \@closestatefile% close data file
+   \typeout{---running Perl script}%
+   \immediate\write18{\rubikperlcmd}%
+   \typeout{---inputting NEW datafile (from Perl)}%
+   \input{rubikstateNEW.dat}%
+   \typeout{-----------------------------------------}%
+ }{\typeout{** ERROR: \rubikperlname\space does not exist}%
+}}
+\newcommand{\SaveRubikState}[1]{%
+\typeout{---NEW save command------------------}%
+\typeout{---command = SaveRubikState{#1}}%
+\typeout{---saving Rubik state data to file #1}%
+\immediate\openout\outfile=#1%
+\@print{\@comment filename: #1\@commentone}%
+\@print{\string\RubikFaceUp%
+   {\Ult}{\Umt}{\Urt}{\Ulm}{\Umm}{\Urm}{\Ulb}{\Umb}{\Urb}\@commentone}%
+\@print{\string\RubikFaceDown%
+   {\Dlt}{\Dmt}{\Drt}{\Dlm}{\Dmm}{\Drm}{\Dlb}{\Dmb}{\Drb}\@commentone}%
+\@print{\string\RubikFaceLeft%
+   {\Llt}{\Lmt}{\Lrt}{\Llm}{\Lmm}{\Lrm}{\Llb}{\Lmb}{\Lrb}\@commentone}%
+\@print{\string\RubikFaceRight%
+   {\Rlt}{\Rmt}{\Rrt}{\Rlm}{\Rmm}{\Rrm}{\Rlb}{\Rmb}{\Rrb}\@commentone}%
+\@print{\string\RubikFaceFront%
+   {\Flt}{\Fmt}{\Frt}{\Flm}{\Fmm}{\Frm}{\Flb}{\Fmb}{\Frb}\@commentone}%
+\@print{\string\RubikFaceBack%
+   {\Blt}{\Bmt}{\Brt}{\Blm}{\Bmm}{\Brm}{\Blb}{\Bmb}{\Brb}\@commentone}%
+\immediate\closeout\outfile%
+\typeout{-----------------------------------------}%
+}%
+\endinput
+%%
+%% End of file `rubikrotation.sty'.