Amusements in Mathematics by Henry Ernest Dudeney
page 268 of 735 (36%)
page 268 of 735 (36%)
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] This is quite a fascinating little puzzle. Place eight bishops (four black and four white) on the reduced chessboard, as shown in the illustration. The problem is to make the black bishops change places with the white ones, no bishop ever attacking another of the opposite colour. They must move alternately--first a white, then a black, then a white, and so on. When you have succeeded in doing it at all, try to find the fewest possible moves. If you leave out the bishops standing on black squares, and only play on the white squares, you will discover my last puzzle turned on its side. 328.--THE QUEEN'S TOUR. The puzzle of making a complete tour of the chessboard with the queen in the fewest possible moves (in which squares may be visited more than once) was first given by the late Sam Loyd in his _Chess Strategy_. But the solution shown below is the one he gave in _American Chess-Nuts_ in 1868. I have recorded at least six different solutions in the minimum number of moves--fourteen--but this one is the best of all, for reasons I will explain. [Illustration: +---+---+---+---+---+---+---+---+ | | | | | | | | | | ............................. | |
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