324.--THE LION AND THE MAN.

In a public place in Rome there once stood a prison divided into

sixty-four cells, all open to the sky and all communicating with one

another, as shown in the illustration. The sports that here took place

were watched from a high tower. The favourite game was to place a

Christian in one corner cell and a lion in the diagonally opposite

corner and then leave them with all the inner doors open. The consequent

effect was sometimes most laughable. On one occasion the man was given a

sword. He was no coward, and was as anxious to find the lion as the lion

undoubtedly was to find him.

[Illustration:

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+-- --+-- --+-- --+-- --+-- --+-- --+-- --+-- --+

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| C |

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+-- --+-- --+-- --+-- --+-- --+-- --+-- --+-- --+

]

The man visited every cell once and only once in the fewest possible

straight lines until he reached the lion's cell. The lion, curiously

enough, also visited every cell once and only once in the fewest

possible straight lines until he finally reached the man's cell. They

started together and went at the same speed; yet, although they

occasionally got glimpses of one another, they never once met. The

puzzle is to show the route that each happened to take.

Amusements in Mathematics · 第 383 / 970 题