(related to Problem: A Chain Puzzle)

To open and rejoin a link costs threepence. Therefore to join the nine pieces into an endless chain would cost $2$s. $3$d., whereas a new chain, would cost $2$s. $2$d. But if we break up the piece of eight links, these eight will join together the remaining eight pieces at a cost of $2$s. But there is a subtle way of even improving on this. Break up the two pieces containing three and four links respectively, and these seven will join together the remaining seven pieces at a cost of only $1$s. $9$d.

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Project Gutenberg

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

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