Problem: The Twickenham Puzzle

q217

In the illustration we have eleven discs in a circle. On five of the discs we place white counters with black letters — as shown — and on five other discs the black counters with white letters. The bottom disc is left vacant. Starting thus, it is required to get the counters in order so that they spell the word "Twickenham" in a clockwise direction, leaving the vacant disc in the original position.

The black counters move in the direction that a clock-hand revolves, and the white counters go the opposite way.

A counter may jump over another counter of the opposite color if the vacant disc is next beyond. Thus, if your first move is with $K,$ then $C$ can jump over $K.$ If then $K$ moves towards $E,$ you may next jump $W$ over $C,$ and so on. The puzzle may be solved in twenty-six moves. Remember a counter cannot jump over its own color.

Solutions: 1


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References

Project Gutenberg

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

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