Square of n without words

math/squares.tex

@@ -0,0 +1,35 @@
+\documentclass{standalone}
+%
+\usepackage{tikz}
+\usepackage{xcolor}
+%
+\definecolor{craterm}{HTML}{616060}
+%
+\title{Squares}
+\begin{document}
+	\begin{tikzpicture}
+		\begin{scope}[scale=2]
+			\draw [color=white,fill=white] (-1,-1) rectangle (8,8);
+			\foreach \x in {0,2,4,6}
+				\draw [fill=black] (\x,0) rectangle (\x+1,1);
+			\foreach \x in {2,4,6}
+				\draw [fill=black] (\x,1) rectangle (\x+1,2);
+			\foreach \x in {0,1,2,4,6}
+				\draw [fill=black] (\x,2) rectangle (\x+1,3);
+			\foreach \x in {4,6}
+				\draw [fill=black] (\x,3) rectangle (\x+1,4);
+			\foreach \x in {0,1,2,3,4,6}
+				\draw [fill=black] (\x,4) rectangle (\x+1,5);
+			\draw [fill=black] (6,5) rectangle (7,6);
+			\foreach \x in {0,1,...,6}
+				\draw [fill=black] (\x,6) rectangle (\x+1,7);
+			\foreach \x in {0,1,...,6}
+				\foreach \y in {0,1,...,6}
+					\draw [color=craterm] (\x,\y) rectangle (\x+1,\y+1);
+		\end{scope}
+		%
+		\begin{scope}[shift={(0,-1)}]
+			\node at (8,0) {$\forall n \in N, 1+3+5+\cdots+(2n-1) = n^2$};
+		\end{scope}
+	\end{tikzpicture}
+\end{document}