[Illustration:
+---+-------+-------+-------+-------+-------+-------+-------+
| 2 | 2 | 5 | 5 | 6 | 6 | 6 | 6 | 1 | 1 | | | | | 4 |
| - +-------+-------+-------+-------+-------+-------+---+---+
| 2 | | 4 |
+---+ | - |
| 2 | | 3 |
| - | +---+
| 6 | | 3 |
+---+ T H E | - |
| 6 | | 3 |
| - | +---+
| 3 | | 3 |
+---+ | - |
| 3 | | 1 |
| - | D O M I N O F R A M E +---+
| | | 1 |
+---+ | - |
| | | 1 |
| - | +---+
| 5 | | 1 |
+---+ -S-O-L-U-T-I-O-N- | - |
| 5 | | 4 |
| - | +---+
| 3 | | 4 |
+---+ | - |
| 3 | | 6 |
| - | +---+
| 2 | | 6 |
+---+---+-------+-------+-------+-------+-------+-------+ - |
| 2 | 1 | 1 | 5 | 5 | 5 | 5 | 4 | 4 | 4 | 4 | 2 | 2 | | |
+-------+-------+-------+-------+-------+-------+-------+---+
]
The illustration is a solution. It will be found that all four sides of
the frame add up 44. The sum of the pips on all the dominoes is 168, and
if we wish to make the sides sum to 44, we must take care that the four
corners sum to 8, because these corners are counted twice, and 168 added
to 8 will equal 4 times 44, which is necessary. There are many different
solutions. Even in the example given certain interchanges are possible
to produce different arrangements. For example, on the left-hand side
the string of dominoes from 2--2 down to 3--2 may be reversed, or from
2--6 to 3--2, or from 3--0 to 5--3. Also, on the right-hand side we may
reverse from 4--3 to 1--4. These changes will not affect the correctness
of the solution.