# How can I force two rotated matrices to have the same size irrespective of content?

I have two matrices which are rotated 45 degrees next to each other. Unfortunately, they are different sizes, likely because one has two-digit numbers, the other one digit.

How can I force them to be the same size?

Here is my MWE (thanks to @marmot for the original code):

\documentclass{article}
\usepackage{tikz}
\usepackage[utf8]{inputenc}
\usepackage{german}

\usetikzlibrary{matrix,shapes.geometric,positioning}

\begin{document}
\begin{figure}
\begin{tikzpicture}
\matrix[matrix of nodes,transform canvas={rotate=45},
nodes={regular polygon,regular polygon sides=4,draw,rotate=-45,shape border             rotate=45},
row sep=-\pgflinewidth,column sep=-\pgflinewidth]
(mat)
{03 & 13 & 23 & 33 \\
02 & 12 & 22 & 32 \\
01 & 11 & 21 & 31 \\
00 & 10 & 20 & 30 \\
};
\path ([xshift=-3mm,yshift=3mm]mat.south west |- mat.north west) rectangle
([xshift=3mm,yshift=-3mm]mat.south east -| mat.north east);
\node at (mat.south west) {$\Phi_1$};
\node at (mat.south east) {$\Phi_2$};
\end{tikzpicture}
\begin{tikzpicture}
\matrix[matrix of nodes,transform canvas={rotate=45},
nodes={regular polygon,regular polygon sides=4,draw,rotate=-45,shape border     rotate=45},
row sep=-\pgflinewidth,column sep=-\pgflinewidth]
(mat)
{1 & 3 & 5 & 6 \\
1 & 3 & 4 & 5 \\
1 & 2 & 3 & 3 \\
0 & 1 & 1 & 1 \\
};
\path ([xshift=-3mm,yshift=3mm]mat.south west |- mat.north west) rectangle
([xshift=3mm,yshift=-3mm]mat.south east -| mat.north east);
\node at (mat.south west) {$\Phi_1$};
\node at (mat.south east) {$\Phi_2$};
\end{tikzpicture}
\caption{Vereinigung zweier epistemischer Zustände $\Phi_1$ und $\Phi_2$     mittels Schlichtungsoperation $\Delta_{ls}$.}
\end{figure}
\end{document}


One only needs to add the minimum size key for both node styles in the two matrices:

\documentclass{standalone}
\usepackage{tikz}
\usepackage[utf8]{inputenc}
\usepackage{german}

\usetikzlibrary{matrix,shapes.geometric,positioning}

\begin{document}
\begin{tikzpicture}
\matrix[matrix of nodes,transform canvas={rotate=45},
nodes={minimum size=1.3cm,regular polygon,regular polygon sides=4,draw,rotate=-45,shape border             rotate=45},
row sep=-\pgflinewidth,column sep=-\pgflinewidth]
(mat)
{03 & 13 & 23 & 33 \\
02 & 12 & 22 & 32 \\
01 & 11 & 21 & 31 \\
00 & 10 & 20 & 30 \\
};
\path ([xshift=-3mm,yshift=3mm]mat.south west |- mat.north west) rectangle
([xshift=3mm,yshift=-3mm]mat.south east -| mat.north east);
\node at (mat.south west) {$\Phi_1$};
\node at (mat.south east) {$\Phi_2$};
\end{tikzpicture}
\begin{tikzpicture}
\matrix[matrix of nodes,transform canvas={rotate=45},
nodes={minimum size=1.3cm,regular polygon,regular polygon sides=4,draw,rotate=-45,shape border     rotate=45},
row sep=-\pgflinewidth,column sep=-\pgflinewidth]
(mat)
{1 & 3 & 5 & 6 \\
1 & 3 & 4 & 5 \\
1 & 2 & 3 & 3 \\
0 & 1 & 1 & 1 \\
};
\path ([xshift=-3mm,yshift=3mm]mat.south west |- mat.north west) rectangle
([xshift=3mm,yshift=-3mm]mat.south east -| mat.north east);
\node at (mat.south west) {$\Phi_1$};
\node at (mat.south east) {$\Phi_2$};
\end{tikzpicture}
\end{document}


Another (nicer) solution thanks to @marmot: We will add text width={width(33)} and align=center to the second matrix. Now the two matrices have the same size:

\documentclass[margin=5mm]{standalone}
\usepackage{tikz}
\usepackage[utf8]{inputenc}
\usepackage{german}

\usetikzlibrary{matrix,shapes.geometric,positioning}

\begin{document}
\begin{tikzpicture}
\matrix[matrix of nodes,transform canvas={rotate=45},
nodes={regular polygon,regular polygon sides=4,draw,rotate=-45,shape border             rotate=45},
row sep=-\pgflinewidth,column sep=-\pgflinewidth]
(mat)
{03 & 13 & 23 & 33 \\
02 & 12 & 22 & 32 \\
01 & 11 & 21 & 31 \\
00 & 10 & 20 & 30 \\
};
\path ([xshift=-3mm,yshift=3mm]mat.south west |- mat.north west) rectangle
([xshift=3mm,yshift=-3mm]mat.south east -| mat.north east);
\node at (mat.south west) {$\Phi_1$};
\node at (mat.south east) {$\Phi_2$};
\end{tikzpicture}
\begin{tikzpicture}
\matrix[matrix of nodes,transform canvas={rotate=45},
nodes={text width={width(33)},regular polygon,regular polygon sides=4,draw,rotate=-45,shape border     rotate=45,align=center},
row sep=-\pgflinewidth,column sep=-\pgflinewidth]
(mat)
{1 & 3 & 5 & 6 \\
1 & 3 & 4 & 5 \\
1 & 2 & 3 & 3 \\
0 & 1 & 1 & 1 \\
};
\path ([xshift=-3mm,yshift=3mm]mat.south west |- mat.north west) rectangle
([xshift=3mm,yshift=-3mm]mat.south east -| mat.north east);
\node at (mat.south west) {$\Phi_1$};
\node at (mat.south east) {$\Phi_2$};
\end{tikzpicture}
\end{document}


• @marmot Thank you very much! After adding text width={width(33)} I saw that the texts in the second matrix are not really centered, so I added an alignment option. Now the figure is much better indeed! – JouleV Mar 6 at 5:07
• Thanks! Just out of curiosity - how did you come up with the width of 33? I am wondering how to apply the solution to other cases. – Markus Mar 6 at 18:11
• @Markus Well actually I'm not really familiar with TikZ's matrices. You should ask the original author marmot for this. – JouleV Mar 7 at 5:25