I've done the code that generates all the solutions. But know I am suppose to filter out any redundant solutions based on symmetry and rotations. I have code for vertical symmetry, horizontal symmetry, rotation 90,180 and 270. The bit that remains is removing symmetry about the the diagonals. / and \ of the board. I guess I can rotate it 90 degress instead of making code for both diagonals. I want to implement the diagonal "\". I drew up some points.
From bottom part to the upper part.
(1,3) -> (6,8)
(2,1) -> (8,7)
From top part to bottom part.
I'm not sure what formulas would do this for me. And what about chess pieces on the diagonal it self, they would just stay put I guess?