Today I facilitated the middle/advanced breakout room at the 1 pm webinar. A kid made a fantastic and very deep conjecture that we all discussed! I'd love to hear all of your thoughts on this:
In any plate that is n by m where n and m are odd (n doesn't necessarily have to equal m), all of the odd squares are bad squares. Additionally, if we define the plate to be overall good if there are more good squares than bad squares, and overall bad if there are more bad squares than good squares, then in a n by m plate where once again n and m are odd, and n could equal m but it doesn't have to, that these plates will always be bad plates EXCEPT for the 3 by 3 plate.
Play around with this, and post your thoughts!