Solid Geometry Puzzles 109- A CUBE PARADOX
I had two solid cubes of lead, one
very slightly larger than the other,
just as shown in the illustration.
Through one of them I cut a hole
(without destroying the continuity of
its four sides) so that the other cube
could be passed right through it. On
weighing them afterwards it was
found that the larger cube was still
the heavier of the two! How was this
possible?- THE CARDBOARD BOX
Readers must have often remarked on the large number of little things that
one would have expected to have been settled generations ago, and yet never
appear to have been considered. Here is a case that has just occurred to me.
If I have a closed cubical cardboard box, by running the penknife along
seven of the twelve edges (it must always be seven) I can lay it out in one
flat piece in various shapes. Thus, in the diagram, if I pass the knife along the
darkened edges and down the invisible edge indicated by the dotted line, I
get the shape A. Another way of cutting produces B or C. It will be seen that
D is simply C turned over, so we will not call that a different shape. How
many different shapes can be produced?- THE AUSTRIAN PRETZEL
On the next page is a twisted Vienna bread roll, known as a pretzel. The
twist, like the curl in a pig's tail, is entirely for ornament. The Wiener pretzel,