\pgfmathsetmacro\Width{16}
\pgfmathsetmacro\Height{8}
%\pgfmathsetmacro\Width{10}
%\pgfmathsetmacro\Height{5}
\pgfmathtruncatemacro\WidthMinusI{\Width - 1}
\pgfmathtruncatemacro\WidthMinusII{\Width - 2}
\pgfmathtruncatemacro\HeightMinusI{\Height - 1}
\pgfmathtruncatemacro\HeightMinusII{\Height - 2}
\pgfmathtruncatemacro\HeightPlusII{\Height + 2}
\pgfmathsetmacro\HeightPlusIi{\Height + 1.5}

% see also: http://www.texample.net/tikz/examples/euclid-algorithm/
\begin{center}
\begin{tikzpicture}[set style={{help lines}+=[dashed]},scale=0.7]

	\draw[style=help lines] (0,0) grid +(\Width,\Height);

	\foreach \c in {0,...,\WidthMinusI}
	{
		\foreach \r in {0,...,\HeightMinusII}
			\draw   [red,very thick,-] (\c+0.5,\r+0.75) -- (\c+0.5,\r+1.25);
		%\node[rotate=90] at (\c+0.5,\HeightPlusII) {\Large vjoints[\dots, \c] \normalsize};
		\node[rotate=90] at (\c+0.5,\HeightPlusII) {vjoints[\dots, \c]};
	}

	\foreach \r in {0,...,\HeightMinusI}
	{
		\foreach \c in {0,...,\WidthMinusII}
			\draw   [blue,very thick,-] (\c+0.75,\r+0.5) -- (\c+1.25,\r+0.5);
		\pgfmathtruncatemacro\hjointslabel{\HeightMinusI - \r}
		%\node at (-1.5,\r+0.5) {\large hjoints[\hjointslabel, \dots] \normalsize};
		\node at (-1.5,\r+0.5) {hjoints[\hjointslabel, \dots]};
	}

\end{tikzpicture}
\end{center}