Domino Puzzles 195shown in our illustration, with all the numbers forming a series of squares.
Thus, in the upper two rows we have a square of blanks, and a square of four
3's, and a square of 4's, and a square of l's; in the third and fourth rows we
have squares of 5, 6, and blank, and so on. This is, in fact, a perfect solution
under the conditions usually imposed, but what I now ask for is an arrange-
ment with no blanks anywhere on the outer edge. At present every number
from blank to 6 inclusive will be found somewhere on the margin. Can you
construct an arrangement with all the blanks inside?- DOMINO FRAMES
Take an ordinary set of twenty-eight 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 two
other 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.
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- DOMINO HOLLOW SQUARES
Every game lends itself to the pro-
pounding of interesting little puzzles.- • • I •••
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Let us, as an example, take the follow-
ing poser, devised from an ordinary
box of twenty-eight dominoes. It is
required with these twenty-eight to
form seven hollow squares, all similar
to 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.