Colouring-In

Obsidantion · #1 $Old$ 10-19-2008, 05:47 PM

Colour (or label) a 3x3 square grid with three colours so that every square (1x1) is neighboured at least once by both of the remaining colours which aren't contained within that square.

Soroban · #2 $Old$ 10-19-2008, 10:41 PM

Hello, Obsidantion!

Quote:

Colour (or label) a 3x3 square grid with three colours
so that every 1x1 square is neighboured at least once by both of the
remaining colours which aren't contained within that square.

If I understand the problem, this is a solution.

. . $\begin{array}{|c|c|c|}\hline {\color{red}\blacksquare} & {\color{green}\blacksquare} & {\color{red}\blacksquare} \\ \hline {\color{blue}\blacksquare} & {\color{blue}\blacksquare} & {\color{blue}\blacksquare} \\ \hline {\color{green}\blacksquare} & {\color{red}\blacksquare} & {\color{green}\blacksquare} \\ \hline \end{array}$

Obsidantion · #3 $Old$ 10-20-2008, 07:29 AM

Quote:

Originally Posted by Soroban $View Post$

Hello, Obsidantion!

If I understand the problem, this is a solution.

. . $\begin{array}{|c|c|c|}\hline{\color{red}\blacksquare} & {\color{green}\blacksquare} & {\color{red}\blacksquare} \\ \hline {\color{blue}\blacksquare} & {\color{blue}\blacksquare} & {\color{blue}\blacksquare} \\ \hline {\color{green}\blacksquare} & {\color{red}\blacksquare} & {\color{green}\blacksquare} \\ \hline \end{array}$

Congrats mate.