12 Coins in Verse: Genius solution of twelve balls and a scale problem

In a recent discussion about the 12 coins problem, Ian Stewart highlighted a poetic solution presented by Cedric A. B. Smith in the 1950 issue of the Eurica magazine. The problem involves identifying one coin among twelve that has a different weight, using only three weighings on a balance scale. Smith's poem cryptically hints at the solution, with the line "F AM NOT LICKED" suggesting a connection to the coins. The poem's structure indicates that each letter represents a coin, and the solution requires distinct outcomes from the weighings. The analysis reveals that the outcomes must be unique and not mirror images of each other, ensuring clarity in identifying the odd coin. The exploration of various solutions by other mathematicians, including Bundy, Dyson, Lyness, and McWorter, adds depth to the understanding of this classic problem. The discussion emphasizes the creativity involved in mathematical problem-solving and the enduring appeal of the 12 coins puzzle.

- Ian Stewart referenced a poetic solution to the 12 coins problem in Eurica magazine.

- The problem requires identifying one coin with a different weight in three weighings.

- Cedric A. B. Smith's poem cryptically encodes the solution.

- The outcomes of the weighings must be distinct and not mirror images.

- Various mathematicians have contributed solutions to this classic problem.