192 Domino Puzzles
- A NEW DOMINO PUZZLE
- ,---/-._, ··1
It will be seen that I have selected
and placed together two dominoes so
that by taking the pips in unbroken
conjunction I can get all the numbers
from 1 to 9 inclusive. Thus, 1,2, and
3 can be taken alone; then 1 and 3
make 4; 3 and 2 make 5; 3 and 3 make
6; 1,3, and 3 make 7; 3,3, and 2 make
8; and 1,3,3, and 2 make 9. It would
not have been allowed to take the
1 and the 2 to make 3, nor to take the
first 3 and the 2 to make 5. The num-
bers would not have been in con-
junction.
Now try to arrange four dominoes
so that you can make the pips in this
way sum to any number from 1 to 23
inclusive. The dominoes need not be
placed 1 against 1, 2 against 2, and so
on, as in play.- A DOMINO SQUARE
•••• • • •
- .1 ••• ·. ' ,. •
- , -. I· • • • • •
- • • -• • -•
- , -. I· • • • • •
- ••• • ,-. •
- • • I ••• • • • •
- • • •
- • I • • ••• I • ,.
- • • • •• - • • •
- • • • • • • •
_. • -• • -~.
- •
• - -
- • • • • • •
- • • • • • -• •
Select any eighteen dominoes you please from an ordinary box, and arrange
them any way you like in a square so that no number shall be repeated in any
row or any column. The example given is imperfect, for it will be seen that
though no number is repeated in anyone of the columns yet three of the rows
break the condition. There are two 4's and two blanks in the first row, two
5's and two 6's in the third row, and two 3's in the fourth row.
Can you form an arrangement without such errors? Blank counts as a
number.