40.--_Lady Isabel's Casket._

Sir Hugh's young kinswoman and ward, Lady Isabel de Fitzarnulph, was

known far and wide as "Isabel the Fair." Amongst her treasures was a

casket, the top of which was perfectly square in shape. It was inlaid

with pieces of wood, and a strip of gold ten inches long by a quarter of

an inch wide.

When young men sued for the hand of Lady Isabel, Sir Hugh promised his

consent to the one who would tell him the dimensions of the top of the

box from these facts alone: that there was a rectangular strip of gold,

ten inches by 1/4-inch; and the rest of the surface was exactly inlaid

with pieces of wood, each piece being a perfect square, and no two pieces

of the same size. Many young men failed, but one at length succeeded. The

puzzle is not an easy one, but the dimensions of that strip of gold,

combined with those other conditions, absolutely determine the size of

the top of the casket.

The Canterbury Puzzles, and Other Curious Problems · 第 65 / 286 题