Problem: A Railway Puzzle

Make a diagram, on a large sheet of paper, like the illustration, and have three counters marked $A,$ three marked $B,$ and three marked $C.$


It will be seen that at the intersection of lines there are nine stopping-places, and a tenth stopping-place is attached to the outer circle like the tail of a $Q.$ Place the three counters or engines marked $A,$ the three marked $B,$ and the three marked $C$ at the places indicated.

The puzzle is to move the engines, one at a time, along the lines, from stopping-place to stopping-place, until you succeed in getting an $A,$ a $B,$ and a $C$ on each circle, and also $A,$ $B,$ and $C$ on each straight line. You are required to do this in as few moves as possible. How many moves do you need?

Solutions: 1

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Project Gutenberg

  1. Dudeney, H. E.: "Amusements in Mathematics", The Authors' Club, 1917

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