Henry Ernest Dudeney/Puzzles and Curious Problems/305 - Domino Frames

Puzzles and Curious Problems by Henry Ernest Dudeney: $305$

Domino Frames

Take an ordinary set of $28$ dominoes and return double $3$, double $4$, double $5$, and double $6$ to the box as not wanted.

Now, with the remainder form three square frames, in the manner shown, so that the pips in every side shall add up alike.

In the example given the sides sum to $15$.

If this were to stand, the sides of the other two frames must also sum to $15$.

But you can take any number you like, and it will be seen that it is not required to place $6$ against $6$, $5$ against $5$, and so on, as in play.

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Crossing River Problem, and Problems Concerning Games and Puzzle Games: $305$. -- Domino Frames
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Domino Puzzles: $486$. Domino Frames