Everyone will appreciate that a Chess board consists of 64 squares. The board is eight squares by eight squares. A puzzle may be made by cutting the board into pieces , along the boundary of the squares, and then attempting to reassemble the pieces back into the original 8 x 8 square shape. One might for example cut the board into two, making 2 pieces 4 squares by 8 squares which would be quite simple to solve. Alternatively the board may be cut into 64 individual squares which would take longer to complete. Somewhere in between these two extremes an arrangement of pieces, comprising of complete individual squares, will exist which will involve the maximum amount of complexity to restore the board into its 8 x 8 square format. What arrangement of pieces would most satisfy this requirement.