A quick hack of how you can derive tiles for automatic tiling from three source tiles (you can cramp the third one – the corners – into the second, since the space there isn’t needed)

bordered tiling.tikz

\usetikzlibrary{calc}

\begin{tikzpicture}
\def\b{.2}
\def\ts{1.5}
\tikzstyle{glass}=[fill opacity=0.1]

\coordinate (empty)   at (0,0);
\coordinate (borders) at ($(empty)   + (\ts+\b, 0)$);
\coordinate (corners) at ($(borders) + (\ts+\b, 0)$);

\coordinate (ex1)     at ($(empty)   - (-\b, \ts+3*\b)$);
\coordinate (ex2)     at ($(ex1)     + (\ts, 0)$);
\coordinate (ex3)     at ($(ex2)     + (\ts, 0)$);
\coordinate (ex4)     at ($(ex2)     - (0, \ts)$);
\coordinate (ex5)     at ($(ex4)     + (\ts, 0)$);


\fill[glass] (empty) rectangle ++(\ts, \ts);

\fill[glass] (borders) rectangle ++(\ts, \ts);
\fill[green] (borders)             -- ++( \ts, 0) -- ++(-\b, \b) -- ++(-\ts+2*\b, 0) -- cycle; % bottom
\fill[red]   (borders)             -- ++( 0, \ts) -- ++(\b, -\b) -- ++(0, -\ts+2*\b) -- cycle; % left
\fill[green] (borders) ++(\ts,\ts) -- ++(-\ts, 0) -- ++(\b, -\b) -- ++( \ts-2*\b, 0) -- cycle; % top
\fill[red]   (borders) ++(\ts,\ts) -- ++( 0,-\ts) -- ++(-\b, \b) -- ++(0,  \ts-2*\b) -- cycle; % right

\fill[glass] (corners) rectangle ++(\ts,\ts);
\fill[blue]
      (corners)              rectangle ++( \b, \b)
      (corners) ++(  0, \ts) rectangle ++( \b,-\b)
      (corners) ++(\ts, \ts) rectangle ++(-\b,-\b)
      (corners) ++(\ts,   0) rectangle ++(-\b, \b);


\fill[glass] (ex1) rectangle ++(\ts, \ts);
\fill[blue]  (ex1) ++(\ts,\ts) |- ++(-\b,-\b);
\fill[green] (ex1) ++(\ts,\ts) -- ++(-\ts, 0) -- ++(\b, -\b) -- ++( \ts-2*\b, 0) -- cycle; % top
\fill[red]   (ex1)             -- ++( 0, \ts) -- ++(\b, -\b) -- ++(0, -\ts+2*\b) -- cycle; % left
\fill[green] (ex1)             -- ++( \ts, 0) -- ++(-\b, \b) -- ++(-\ts+2*\b, 0) -- cycle; % bottom
\fill[blue]  (ex1) ++(\ts,  0) |- ++(-\b, \b);

\fill[glass] (ex2) rectangle ++(\ts, \ts);
\fill[blue]  (ex2) ++(  0,\ts) |- ++( \b,-\b);
\fill[green] (ex2) ++(\ts,\ts) -- ++(-\ts, 0) -- ++(\b, -\b) -- ++( \ts-2*\b, 0) -- cycle; % top
\fill[blue]  (ex2) ++(\ts,\ts) |- ++(-\b,-\b);
\fill[blue]  (ex2) rectangle ++( \b, \b);

\fill[glass] (ex3) rectangle ++(\ts, \ts);
\fill[blue]  (ex3) ++(  0,\ts) |- ++( \b, -\b);
\fill[green] (ex3) ++(\ts,\ts) -- ++(-\ts, 0) -- ++( \b,-\b) -- ++( \ts-2*\b, 0) -- cycle; % top
\fill[red]   (ex3) ++(\ts,\ts) -- ++( 0,-\ts) -- ++(-\b, \b) -- ++(0,  \ts-2*\b) -- cycle; % right
\fill[blue]  (ex3) ++(\ts,  0) -| ++(-\b, \b);

\fill[glass] (ex4) rectangle ++(\ts, \ts);
\fill[blue]  (ex4) ++(  0,\ts) -| ++(\b, -\b);
\fill[red]   (ex4)             -- ++( 0, \ts) -- ++(\b, -\b) -- ++(0, -\ts+2*\b) -- cycle; % left
\fill[green] (ex4)             -- ++( \ts, 0) -- ++(-\b, \b) -- ++(-\ts+2*\b, 0) -- cycle; % bottom
\fill[blue]  (ex4) ++(\ts,  0) |- ++(-\b, \b);

\fill[glass] (ex5) rectangle ++(\ts, \ts);
\fill[blue]  (ex5)             |- ++(\b, \b);
\fill[green] (ex5)             -- ++( \ts, 0) -- ++(-\b, \b) -- ++(-\ts+2*\b, 0) -- cycle; % bottom
\fill[red]   (ex5) ++(\ts,\ts) -- ++( 0,-\ts) -- ++(-\b, \b) -- ++(0,  \ts-2*\b) -- cycle; % right
\fill[blue]  (ex5) ++(\ts,\ts) -| ++(-\b, -\b);

\end{tikzpicture}