314 Answers
is therefore 40 and the depth 16. Now, if we place 20 in the bottom row, and,
instead of placing 20 in the next row, we drop 19 into the position shown in
Figure B, we save .268 (i.e., 2 - V3) in height. This second row, and every ad-
ditional row of 20 and 19 alternately, will increase the height by 1.732.
Therefore, we shall have 9 rows reaching to a height of 2 + 8 X 1.732 or
15.856, which is less than our depth of 16. We shall thus increase the number
of cigarettes by 20 (through the additional row), and reduce it by 4 (l in each
row of 19), making a net increase of 16 cigarettes.
- A NEW CUTTING-OUT PUZZLE
Make the cuts as shown in the illustration and fit the pieces into the places
enclosed by the dotted lines.
[The cuts can be shifted to make a more symmetrical solution. See Harry
Lindgren, Geometric Dissections, (D. Van Nostrand, 1964), p. 40, Figure 9.2.
-M.G.]