In part (b) of Fig. 2.4 we have an 8 × 8 chessboard where two squares (one blue and one white) have been removed from each of two opposite comers. Can the remaining 60 squares be covered by 15 T-shaped figures (of three white squares and one blue one, or three blue squares and one white one - as shown in the figure)? [The reader may wish to verify that a 4 × 4 chessboard (of all 16 squares) can be covered by four of the T-shaped figures. Then it follows that an 8 × 8 chessboard (of all 64 squares) can be covered by 16 of the T-shaped figures.]

Transcribed Image Text:

(b) (a)