tikzmagic svg
%%tikz -s 400,400 -sc 1.2 -f png
\draw [style=help lines, step=2] (-1,-1) grid (+7,+7);
\draw [line width=0.5mm, fill=blue!40!white] (+2,+2) rectangle (+4,+4);
\draw [blue!60!white] ( 2, 2) node[anchor=north east] {$(i ,j )$};
\draw [blue!60!white] ( 4, 2) node[anchor=north west] {$(i+1,j )$};
\draw [blue!60!white] ( 4, 4) node[anchor=south west] {$(i+1,j+1)$};
\draw [blue!60!white] ( 2, 4) node[anchor=south east] {$(i ,j+1)$};
\filldraw [color=gray] (0,0) circle (.1);
\filldraw [color=gray] (0,2) circle (.1);
\filldraw [color=gray] (0,4) circle (.1);
\filldraw [color=gray] (0,6) circle (.1);
\filldraw [color=gray] (2,0) circle (.1);
\filldraw [color=black] (2,2) circle (.1);
\filldraw [color=black] (2,4) circle (.1);
\filldraw [color=gray] (2,6) circle (.1);
\filldraw [color=gray] (4,0) circle (.1);
\filldraw [color=black] (4,2) circle (.1);
\filldraw [color=black] (4,4) circle (.1);
\filldraw [color=gray] (4,6) circle (.1);
\filldraw [color=gray] (6,0) circle (.1);
\filldraw [color=gray] (6,2) circle (.1);
\filldraw [color=gray] (6,4) circle (.1);
\filldraw [color=gray] (6,6) circle (.1);