536 Puzzles and Curious Problems

(Elliott) #1

196 Domino Puzzles


The reader will probably find it easy to form six of the squares correctly,
in many ways, but the trouble generally begins when you come to make the
seventh square with the four remaining dominoes.



  1. DOMINO SEQUENCES


A boy who had a complete set of dominoes, up to double 9, was trying to
arrange them all in sequence, in the usual way-6 against 6, 3 against 3, blank
against blank, etc. His father said to him, "You are attempting an impossibil-
ity, but if you will let me pick out four dominoes it can then be done. And those
that I take shall contain the smallest total number of pips possible in the
circumstances. "
Now, which dominoes might the father have selected? Remember that the
dominoes in common use in this country stop at double 6, but we are here using
a set up to double 9.



  1. TWO DOMINO SQUARES


Arrange the twenty-eight dominoes as shown in the diagram to form two
squares so that the pips in everyone of the eight sides shall add up alike. The
dominoes being on the table one day recently, we set ourselves the above task,
and found it very interesting.
The constant addition must be within limits to make the puzzle possible, and
it will be found interesting to find these limits. Of course, the dominoes need
not be laid according to the rule, 6 against 6, blank against blank, and so on.

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