What is the largest number of knights that can be placed on an 8x8 chessboard such that no knight attacks any other knight?

Now add this condition: the number of knights occupying black squares is the same as the number of knights occupying white squares. Now what is the largest number of knights that can be placed?

Without the color restriction, you can place 32 knights on the same color.  Since knights only attack opposite color squares none can attack another.  I'm pretty sure this is optimum.

Posted by Jer on 2017-07-05 09:33:58