the pentagon), and then deal the 6, 7,
8, 9, 10 in the opposite direction, as
shown, taking care to start with the 6
on the correct side of the 5. The pips
on every side add to 14. If you deal the
6, 7, 8, 9, 10 in the first manner and the
1,2,3,4,5 in the second manner, you
will get another solution, adding up to
- Now work with the two sets of
numbers 1,3,5,7,9 and 2,4,6,8,10
in the same way and you will get two
more solutions, adding, respectively,
to 16 and 17.
There are six different solutions in
all. The last two are peculiar. Write in,
in the same order, 1,4, 7, 10, 13 and
Answers 3536,9, 12, IS, 18; also write in 8, II, 14,
17,20 and 3, 6, 9,12, IS. Then deduct
10 from every number greater than 10.- A HEPTAGON PUZZLE
The diagram shows the solution.
Starting at the highest point, write in
the numbers I to 7 in a clockwise
direction at alternate points. Then,
starting just above the 7, write 8 to 14
successively in the opposite direction,
taking every vacant circle in tum. If
instead you write in 1,3,5,7,9, II, 13,
and then 2, 4, 6,8, 10, 12, 14, you will
get a solution with the sides adding
to 22 instead of 19. If you substitute
for every number in these solutions its
difference from 15 you will get the spectively to 26 and 23 (the difference
complementary solutions, adding re- of 19 and 22 from 45).