Henry Ernest Dudeney/Puzzles and Curious Problems/308 - Domino Hollow Squares/Solution
Jump to navigation
Jump to search
Puzzles and Curious Problems by Henry Ernest Dudeney: $308$
- Domino Hollow Squares
- It is required with the $28$ dominoes to form $7$ hollow squares, like the example given,
- so that the pips in the four sides of every square shall add up alike.
- All these seven squares need not have the same sum, and, of course, the example given need not be one of your set.
Solution
- Remember this rule:
- If the pips on your dominoes sum, say, to $7$ (as in the first example),
- and you wish the sides to add up to $3$, then $4 \times 3 - 7$ gives us $5$ as the sum of the four corners.
Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Solutions: $308$. -- Domino Hollow Squares
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Answers: $487$. Domino Hollow Squares