\begin{tikzpicture}[scale=.65]
\fill[color=blue!10](0,0) rectangle (4,2);
\draw[arrowMe=stealth](0,0)--node[below]{$$a$$} (2,0);
\draw[arrowMe=stealth](2,0)--node[below]{$$a$$} (4,0);
\draw[arrowMe=stealth](0,2)--node[above]{$$b$$} (2,2);
\draw[arrowMe=stealth](2,2)--node[above]{$$b$$} (4,2);
\draw[arrowMe=stealth](0,0)--node[left]{$$c$$} (0,2);
\draw[arrowMe=stealth](4,0)--node[right]{$$c$$} (4,2);
\foreach \x in {0,2,4} \foreach \y in {0,2} {\tkzDrawPoint(\x,\y)}
\draw (2,1) node{$$A$$};
\begin{scope}[xshift=4cm]
\draw[arrowMe=stealth](0,0)--node[below]{$$a$$} (2,0);
\draw[arrowMe=stealth](2,0)--node[below]{$$a$$} (4,0);
\draw[arrowMe=stealth](0,2)--node[above]{$$b$$} (2,2);
\draw[arrowMe=stealth](2,2)--node[above]{$$b$$} (4,2);
\draw[arrowMe=stealth](4,0)--node[right]{$$c$$} (4,2);
\foreach \x in {0,2,4} \foreach \y in {0,2} {\tkzDrawPoint(\x,\y)}
\draw (2,1) node{$$r^2(A)$$};
\end{scope}
\begin{scope}[xshift=8cm]
\draw[arrowMe=stealth](0,0)--node[below]{$$a$$} (2,0);
\draw[arrowMe=stealth](2,0)--node[below]{$$a$$} (4,0);
\draw[arrowMe=stealth](0,2)--node[above]{$$b$$} (2,2);
\draw[arrowMe=stealth](2,2)--node[above]{$$b$$} (4,2);
\draw[arrowMe=stealth](4,0)--node[right]{$$c$$} (4,2);
\foreach \x in {0,2,4} \foreach \y in {0,2} {\tkzDrawPoint(\x,\y)}
\draw (2,1) node{$$r^4(A)$$};
\end{scope}
\begin{scope}[xshift=-2cm,yshift=2cm]
\draw[arrowMe=stealth](0,2)--node[above]{$$a$$} (2,2);
\draw[arrowMe=stealth](2,2)--node[above]{$$a$$} (4,2);
\draw[arrowMe=stealth](0,0)--node[above]{$$b$$} (2,0);
\draw[arrowMe=stealth](0,2)--node[left]{$$c$$} (0,0);
\draw[arrowMe=stealth](4,2)--node[right]{$$c$$} (4,0);
\foreach \x in {0,2,4} \foreach \y in {0,2} {\tkzDrawPoint(\x,\y)}
\draw (2,1) node{$$r^{-1}(A)$$};
\end{scope}
\begin{scope}[xshift=2cm,yshift=2cm]
\draw[arrowMe=stealth](0,2)--node[above]{$$a$$} (2,2);
\draw[arrowMe=stealth](2,2)--node[above]{$$a$$} (4,2);
\draw[arrowMe=stealth](4,2)--node[right]{$$c$$} (4,0);
\foreach \x in {0,2,4} \foreach \y in {0,2} {\tkzDrawPoint(\x,\y)}
\draw (2,1) node{$$r(A)$$};
\end{scope}
\begin{scope}[xshift=6cm,yshift=2cm]
\draw[arrowMe=stealth](0,2)--node[above]{$$a$$} (2,2);
\draw[arrowMe=stealth](2,2)--node[above]{$$a$$} (4,2);
\draw[arrowMe=stealth](4,2)--node[right]{$$c$$} (4,0);
\foreach \x in {0,2,4} \foreach \y in {0,2} {\tkzDrawPoint(\x,\y)}
\draw (2,1) node{$$r^3(A)$$};
\end{scope}
\begin{scope}[yshift=4cm]
\draw[arrowMe=stealth](0,2)--node[above]{$$b$$} (2,2);
\draw[arrowMe=stealth](2,2)--node[above]{$$b$$} (4,2);
\draw[arrowMe=stealth](0,0)--node[left]{$$c$$} (0,2);
\draw[arrowMe=stealth](4,0)--node[right]{$$c$$} (4,2);
\foreach \x in {0,2,4} \foreach \y in {0,2} {\tkzDrawPoint(\x,\y)}
\draw (2,1) node{$$T(A)$$};
\end{scope}
\begin{scope}[xshift=4cm,yshift=4cm]
\draw[arrowMe=stealth](0,2)--node[above]{$$b$$} (2,2);
\draw[arrowMe=stealth](2,2)--node[above]{$$b$$} (4,2);
\draw[arrowMe=stealth](4,0)--node[right]{$$c$$} (4,2);
\foreach \x in {0,2,4} \foreach \y in {0,2} {\tkzDrawPoint(\x,\y)}
\draw (2,1) node{$$T\circ r^2(A)$$};
\end{scope}
\begin{scope}[xshift=-2cm,yshift=-2cm]
\draw[arrowMe=stealth](0,2)--node[above]{$$a$$} (2,2);
\draw[arrowMe=stealth](0,0)--node[above]{$$b$$} (2,0);
\draw[arrowMe=stealth](2,0)--node[above]{$$b$$} (4,0);
\draw[arrowMe=stealth](0,2)--node[left]{$$c$$} (0,0);
\draw[arrowMe=stealth](4,2)--node[right]{$$c$$} (4,0);
\foreach \x in {0,2,4} \foreach \y in {0,2} {\tkzDrawPoint(\x,\y)}
\draw (2,1) node{$$T^{-1}\circ r^{-1}(A)$$};
\end{scope}
\begin{scope}[xshift=2cm,yshift=-2cm]
\draw[arrowMe=stealth](0,0)--node[above]{$$b$$} (2,0);
\draw[arrowMe=stealth](2,0)--node[above]{$$b$$} (4,0);
\draw[arrowMe=stealth](4,2)--node[right]{$$c$$} (4,0);
\foreach \x in {0,2,4} \foreach \y in {0,2} {\tkzDrawPoint(\x,\y)}
\draw (2,1) node{$$T^{-1}\circ r(A)$$};
\end{scope}
\begin{scope}[xshift=6cm,yshift=-2cm]
\draw[arrowMe=stealth](0,0)--node[above]{$$b$$} (2,0);
\draw[arrowMe=stealth](2,0)--node[above]{$$b$$} (4,0);
\draw[arrowMe=stealth](4,2)--node[right]{$$c$$} (4,0);
\foreach \x in {0,2,4} \foreach \y in {0,2} {\tkzDrawPoint(\x,\y)}
\draw (2,1) node{$$T^{-1}\circ r^{3}(A)$$};
\end{scope}
\end{tikzpicture}