Henry Ernest Dudeney/Puzzles and Curious Problems/289 - Magic Square Trick/Historical Note
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Historical Note on Puzzles and Curious Problems by Henry Ernest Dudeney: $289$ - Magic Square Trick
Martin Gardner reports on simpler constructions for some of the results, suggested by Victor Meally:
| \(\ds 4 + 4 - \dfrac 4 {4 + 4}\) | \(=\) | \(\ds 7 \tfrac 1 2\) | ||||||||||||
| \(\ds 7 + \dfrac {7 + 7 + 7} 7\) | \(=\) | \(\ds 10\) | ||||||||||||
| \(\ds 8 - \dfrac 8 {8 + 8}\) | \(=\) | \(\ds 7 \tfrac 1 2\) |
but none of these come close to fixing the flaw in the basic premise of the solution of this puzzle.
Sources
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Answers: $389$. Magic Square Trick