Henry Ernest Dudeney/Puzzles and Curious Problems/308 - Domino Hollow Squares/Solution

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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.
Dudeney-Puzzles-and-Curious-Problems-308.png
All these seven squares need not have the same sum, and, of course, the example given need not be one of your set.


Solution

Dudeney-Puzzles-and-Curious-Problems-308-solution-1.png $\quad$ Dudeney-Puzzles-and-Curious-Problems-308-solution-2.png
Dudeney-Puzzles-and-Curious-Problems-308-solution-3.png $\quad$ Dudeney-Puzzles-and-Curious-Problems-308-solution-4.png
Dudeney-Puzzles-and-Curious-Problems-308-solution-5.png $\quad$ Dudeney-Puzzles-and-Curious-Problems-308-solution-6.png
Dudeney-Puzzles-and-Curious-Problems-308-solution-7.png
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