Poggle, the solutions

One interesting point is that there is only ONE solution for each of the 3-by-3 Poggle variants. For the 4-by-4 Poggle versions, quite a few more.
The 4-by-4 Poggle game's linear algebra solutions required that two or more buttons be completely specified before the entire solution could be show. I did re-discover a solution for this version that I had first found back when I was first putting this program together. (A "d'oh!" type solution you will see when it is described.)

For the 3-by-3 Poggle puzzles;

2 Colours
1	0	1
0	1	0
1	0	1

3 Colours
0	1	0
1	1	1
0	1	0

4 Colours
3	2	3
2	3	2
3	2	3

5 Colours
1	4	1
4	3	4
1	4	1

For the 4-by-4 Poggle version, consider the following. There are location on any Poggle board that toggle EXACTLY 4 buttons. Given that the 4-by-4 Poggle board has 16 button, only 4 buttons should be pressed to cover the entire Poggle board. And here they are.

0	0	X	0
X	0	0	0
0	0	0	X
0	X	0	0

and its mirror image

0	X	0	0
0	0	0	X
X	0	0	0
0	0	X	0

. See what was meant by this solution being a 'kick yourself' moment for not seeing it immediately?