[Tex/LaTex] How to get a pigeon to illustrate the pigeonhole principle

Question

I saw on the internet the following image, illustrating the pigeonhole principle:

Using TikZ, is it possible to make an image like that? I can only create the board, but I can't do the pigeon. Here is my MWE:

\documentclass{article}
\usepackage{tikz}

\begin{document}

\begin{tikzpicture}
\draw (0,0) rectangle (6,6);
\draw (0,2)--(6,2);
\draw (0,4)--(6,4);
\draw (2,0)--(0,6);
\draw (4,0)--(4,6);
\end{tikzpicture}

\end{document}

Answer 1

\documentclass[pstricks,margin=5mm]{standalone}
\usepackage{pst-fun}
\begin{document}
\pspicture[dimen=m](12,12)
\multirput(0,0)(4,0){3}{\multirput(0,0)(0,4){3}{\psframe(4,4)\rput(0,1){\psBird}}}
\endpspicture
\end{document}