215.--THE GRASSHOPPER PUZZLE.

It has been suggested that this puzzle was a great favourite among the

young apprentices of the City of London in the sixteenth and seventeenth

centuries. Readers will have noticed the curious brass grasshopper on

the Royal Exchange. This long-lived creature escaped the fires of 1666

and 1838. The grasshopper, after his kind, was the crest of Sir Thomas

Gresham, merchant grocer, who died in 1579, and from this cause it has

been used as a sign by grocers in general. Unfortunately for the legend

as to its origin, the puzzle was only produced by myself so late as the

year 1900. On twelve of the thirteen black discs are placed numbered

counters or grasshoppers. The puzzle is to reverse their order, so that

they shall read, 1, 2, 3, 4, etc., in the opposite direction, with the

vacant disc left in the same position as at present. Move one at a time

in any order, either to the adjoining vacant disc or by jumping over one

grasshopper, like the moves in draughts. The moves or leaps may be made

in either direction that is at any time possible. What are the fewest

possible moves in which it can be done?

[Illustration]

Amusements in Mathematics · 第 247 / 970 题