%%%%
% tikz setup

% The following macros compile into empty statements when used within pdflatex, and they can be translated into actual tikz code
% when proprocessing the tex file using the tikz.py python script.
% The arguments for these macros are palette number, scale in %, labels (0=no, 1=yes), permutation.
\newcommand{\tikzrect}[1]{}
\newcommand{\tikzgener}[1]{}
\tikzstyle{wall}=[line width=1pt]

% a 4-color palette
\definecolor{p1col1}{rgb}{0.266122, 0.486664, 0.802529}
\definecolor{p1col2}{rgb}{0.513417, 0.72992, 0.440682}
\definecolor{p1col3}{rgb}{0.863512, 0.670771, 0.236564}
\definecolor{p1col4}{rgb}{0.857359, 0.131106, 0.132128}
\definecolor{p1col5}{rgb}{0.52734, 0.24218, 0.24218}
\definecolor{p1col6}{rgb}{0.45, 0.45, 0.45}

% a 9-color palette
\definecolor{p2col1}{rgb}{0.264135, 0.201429, 0.745889}
\definecolor{p2col2}{rgb}{0.256326, 0.430921, 0.808553}
\definecolor{p2col3}{rgb}{0.324106, 0.60897, 0.708341}
\definecolor{p2col4}{rgb}{0.439128, 0.704968, 0.52925}
\definecolor{p2col5}{rgb}{0.597181, 0.742185, 0.36771}
\definecolor{p2col6}{rgb}{0.764712, 0.728302, 0.273608}
\definecolor{p2col7}{rgb}{0.88018, 0.631684, 0.227665}
\definecolor{p2col8}{rgb}{0.897354, 0.41824, 0.185007}
\definecolor{p2col9}{rgb}{0.857359, 0.131106, 0.132128}



% rectangulation patterns

\newcommand{\zvd}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.17]
\protect\draw (0,0) rectangle (3,3);\protect\draw[wall] (1.5,0)--(1.5,3);\protect\draw[wall] (0,2)--(1.5,2);\protect\draw[wall] (1.5,1)--(3,1);
\end{tikzpicture}
}

\newcommand{\zvu}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.17]
\protect\draw (0,0) rectangle (3,3);\protect\draw[wall] (1.5,0)--(1.5,3);\protect\draw[wall] (0,1)--(1.5,1);\protect\draw[wall] (1.5,2)--(3,2);
\end{tikzpicture}
}

\newcommand{\zhl}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.17]
\protect\draw (0,0) rectangle (3,3);\protect\draw[wall] (0,1.5)--(3,1.5);\protect\draw[wall] (2,0)--(2,1.5);\protect\draw[wall] (1,1.5)--(1,3);
\end{tikzpicture}
}

\newcommand{\zhr}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.17]
\protect\draw (0,0) rectangle (3,3);\protect\draw[wall] (0,1.5)--(3,1.5);\protect\draw[wall] (1,0)--(1,1.5);\protect\draw[wall] (2,1.5)--(2,3);
\end{tikzpicture}
}

\newcommand{\millr}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.1275]
\protect\draw (0,0) rectangle (4,4);\protect\draw[wall] (1,0)--(1,3);\protect\draw[wall] (0,3)--(3,3);\protect\draw[wall] (3,4)--(3,1);\protect\draw[wall] (4,1)--(1,1);
\end{tikzpicture}
}

\newcommand{\milll}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.1275]
\protect\draw (0,0) rectangle (4,4);
\protect\draw[wall] (3,0)--(3,3);\protect\draw[wall] (4,3)--(1,3);\protect\draw[wall] (1,4)--(1,1);\protect\draw[wall] (0,1)--(3,1);
\end{tikzpicture}
}


\newcommand{\pone}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.1275]
\protect\draw[wall] (1.2,0)--(1.2,2.8);
\protect\draw[wall] (4,1.2)--(1.2,1.2);
\protect\draw[wall] (2.8,4)--(2.8,1.2);
\protect\draw[wall] (0,2.8)--(2.8,2.8);
\end{tikzpicture}
}

\newcommand{\ptwo}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.1275]
\protect\draw[wall] (2.8,0)--(2.8,2.8);
\protect\draw[wall] (4,2.8)--(1.2,2.8);
\protect\draw[wall] (1.2,4)--(1.2,1.2);
\protect\draw[wall] (0,1.2)--(2.8,1.2);
\end{tikzpicture}
}

\newcommand{\pthr}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.1275]
\protect\draw[wall] (2,0)--(2,4);
\protect\draw[wall] (0,1.2)--(2,1.2);
\protect\draw[wall] (2,2.8)--(4,2.8);
\end{tikzpicture}
}

\newcommand{\pfiv}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.1275]
\protect\draw[wall] (2,0)--(2,4);
\protect\draw[wall] (0,2.8)--(2,2.8);
\protect\draw[wall] (2,1.2)--(4,1.2);
\end{tikzpicture}
}

\newcommand{\pfou}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.1275]
\protect\draw[wall] (0,2)--(4,2);
\protect\draw[wall] (2.8,2)--(2.8,4);
\protect\draw[wall] (1.2,0)--(1.2,2);
\end{tikzpicture}
}

\newcommand{\psix}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.1275]
\protect\draw[wall] (0,2)--(4,2);
\protect\draw[wall] (2.8,0)--(2.8,2);
\protect\draw[wall] (1.2,2)--(1.2,4);
\end{tikzpicture}
}

\newcommand{\psev}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.1275]
\protect\draw[wall] (0,2)--(1.65,2);
\protect\draw[wall] (1.65,0)--(1.65,4);
%\protect\draw[wall] (1.2,0)--(2.8,0);
%\protect\draw[wall] (1.2,4)--(2.8,4);
\protect\draw[wall] (2.35,0)--(2.35,4);
\protect\draw[wall] (2.35,2)--(4,2);
\end{tikzpicture}
}

\newcommand{\peig}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.1275]
\protect\draw[wall] (2,0)--(2,1.65);
\protect\draw[wall] (0,1.65)--(4,1.65);
%\protect\draw[wall] (0,1.2)--(0,2.8);
%\protect\draw[wall] (4,1.2)--(4,2.8);
\protect\draw[wall] (0,2.35)--(4,2.35);
\protect\draw[wall] (2,2.35)--(2,4);
\end{tikzpicture}
}







\newcommand{\hvert}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.17]
\protect\draw (0,0) rectangle (3,3);
\protect\draw[wall] (1,0)--(1,3);\protect\draw[wall] (2,0)--(2,3);\protect\draw[wall] (0,1.5)--(1,1.5);\protect\draw[wall] (2,1.5)--(3,1.5);
\end{tikzpicture}
}

\newcommand{\hhor}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.17]
\protect\draw (0,0) rectangle (3,3);
\protect\draw[wall] (0,1)--(3,1);\protect\draw[wall] (0,2)--(3,2);\protect\draw[wall] (1.5,0)--(1.5,1);\protect\draw[wall] (1.5,2)--(1.5,3);
\end{tikzpicture}
}

\newcommand{\zsvd}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.17]
\protect\draw (0,0) rectangle (3,3);
\protect\draw[fill=black!20] (1,0) rectangle (2,3);
\protect\draw[wall] (1,0)--(1,3);
\protect\draw[wall] (2,0)--(2,3);
\protect\draw[wall] (0,2)--(1,2);
\protect\draw[wall] (2,1)--(3,1);
\end{tikzpicture}
}

\newcommand{\zsvu}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.17]
\protect\draw (0,0) rectangle (3,3);
\protect\draw[fill=black!20] (1,0) rectangle (2,3);
\protect\draw[wall] (1,0)--(1,3);
\protect\draw[wall] (2,0)--(2,3);
\protect\draw[wall] (0,1)--(1,1);
\protect\draw[wall] (2,2)--(3,2);
\end{tikzpicture}
}

\newcommand{\zshl}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.17]
\protect\draw (0,0) rectangle (3,3);
\protect\draw[fill=black!20] (0,1) rectangle (3,2);
\protect\draw[wall] (0,2)--(3,2);
\protect\draw[wall] (0,1)--(3,1);
\protect\draw[wall] (1,2)--(1,3);
\protect\draw[wall] (2,0)--(2,1);
\end{tikzpicture}
}

\newcommand{\zshr}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.17]
\protect\draw (0,0) rectangle (3,3);
\protect\draw[fill=black!20] (0,1) rectangle (3,2);
\protect\draw[wall] (0,2)--(3,2);
\protect\draw[wall] (0,1)--(3,1);
\protect\draw[wall] (2,2)--(2,3);
\protect\draw[wall] (1,0)--(1,1);
\end{tikzpicture}
}

\newcommand{\hv}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.17]
\protect\draw (0,0) rectangle (3,3);
\protect\draw[wall] (1,0)--(1,3);
\protect\draw[wall] (2,0)--(2,3);
\protect\draw[wall] (1,1.5)--(2,1.5);
\end{tikzpicture}
}

\newcommand{\hh}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.17]
\protect\draw (0,0) rectangle (3,3);
\protect\draw[wall] (0,1)--(3,1);
\protect\draw[wall] (0,2)--(3,2);
\protect\draw[wall] (1.5,1)--(1.5,2);
\end{tikzpicture}
}

\newcommand{\hor}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.17]
\protect\draw (0,0) rectangle (3,3);\protect\draw[wall] (0,1)--(3,1);\protect\draw[wall] (0,2)--(3,2);
\end{tikzpicture}
}

\newcommand{\ver}{
\begin{tikzpicture}[baseline=1.2mm,scale=0.17]
\protect\draw (0,0) rectangle (3,3);\protect\draw[wall] (1,0)--(1,3);\protect\draw[wall] (2,0)--(2,3);
\end{tikzpicture}
}




\def\P#1{\ifnum#1=1 $\pone$
\else\ifnum#1=2 $\ptwo$
\else\ifnum#1=3 $\pthr$
\else\ifnum#1=4 $\pfou$
\else\ifnum#1=5 $\pfiv$
\else\ifnum#1=6 $\psix$
\else\ifnum#1=7 $\psev$
\else\ifnum#1=8 $\peig$
 \else            \relax
\fi\fi\fi\fi\fi\fi\fi\fi}


\newcommand{\td}{
\begin{tikzpicture}[baseline=0.5mm,scale=0.17]
\protect\draw[wall] (0,1.7)--(2,1.7);
\protect\draw[wall] (1,0)--(1,1.7);
\end{tikzpicture}
}

\newcommand{\tu}{
\begin{tikzpicture}[baseline=0.5mm,scale=0.17]
\protect\draw[wall] (0,0)--(2,0);
\protect\draw[wall] (1,0)--(1,1.7);
\end{tikzpicture}
}