...words, it moves in a? straight line along squares of the same color, which we call "his color." In this problem we will put the Bishop at the corner of a rectangular chessboard and move him in a straight line until he comes to an edge. The he will "bounce" off the edge (angle of incidence equals angle of reflection) and continue in a straight line until he bounces off another edge. If the chessboard is square, then the Bishop will bounce back and forth along one diagonal. On the other hand, if the chessboard has four rows and 6 columns, the Bishop will eventually pass across all the squares of his color.
The problem is to decide what size chessboards will permit the Bishop to pass across all squares of his color.
The problem is to decide what size chessboards will permit the Bishop to pass across all squares of his color.