.-----------.-----------.-----------.-----------. | . . .|||||||. .|||||||. . . | | . .|||. .|||. . . | | . . . . | | . . . . . . . . | | . . . . . . . . | . . . . . ||. . . . . /|\ . .|| ||||. . . . . \|/ . .|||| ||||||. . . .|||||| ||||. . . . . . . .|||| ||. . . . . . . .|| . . . . . ||. . . . . . . .|| ||||. . . . . . . .|||| ||||||. . . .|||||| ||||. . . . . . . .|||| ||. . . . . . . .|| . . . . . | . . . . . . . . | | . . . . . . . . | | . . . . | | . .|||. .|||. . . | | . . .|||||||. .|||||||. . . | .-----------.-----------.-----------.-----------. ] [Illustration] 164.--THE POTATO PUZZLE. Take a circular slice of potato, place it on the table, and see into how large a number of pieces you can divide it with six cuts of a knife. Of course you must not readjust the pieces or pile them after a cut. What is the greatest number of pieces you can make? [Illustration: -------- / \ 1/ \ / \ 2 \/ 3 / \ / \ /\ / \ / \ 4 \/ 5\/ 6 / \ | \ /\ /\ / | \ 7\/ 8\/ 9\/10 / \ /\ /\ /\ / \/11\/12\/13\/ \ /\ /\ / \/14\/15\/ \ /\ / \/16\/ ----- ] The illustration shows how to make sixteen pieces. This can, of course, be easily beaten. 165.--THE SEVEN PIGS. [Illustration] +------------------------------+ | | | P | | | | P | | P | | P | | P | | P | | P | | | +------------------------------+