EDIT: What’s with all the downvotes people? I accept criticism, but I feel that someone needs to at least a say a little bit of why.
What’s the total number of KNN vs. K checkmate positions?
I figure that you would find the number of possible positions in one corner, and then times that number by four, seeing as a chessboard has four corners and it very symmetrical. Let me share my research.
Firstly, the king, let’s choose black and assume that white is checkmating, must be mated in one of these four squares. It is impossible to do it on the edge.
Let’s choose this corner for now.
The white king would have to be on one of these four squares.
The checkmating knight would have to be on one of these two squares.
Finally, the knight used to block off the black king’s escape route has to be on one of these five squares.
Could anyone calculate this somehow?