164 Combinatorial & Topological Problems
- THE ENCIRCLED TRIANGLES
Here is a little puzzle that will re-
quire some patience and judgment to
solve. You have merely to draw the
design of circle and triangles in as
few continuous strokes as possible.
You may go over a line twice if you
wish to do so, and begin and end
wherever you like.- THE SIAMESE SERPENT
The conditions of this puzzle are
exceedingly simple. You are asked to
draw as much as possible of the ser-
pent in one continuous line. Starting
where you like and ending where you
like, just see how much of the serpent
you can trace without once taking
your pencil off the paper or going
over the same line twice.
An artful person might dodge the
condition of going over a line twice
by claiming that he drew half the
width of the line going forward and
the other half going back; but he is
reminded that a line has no breadth!- A BUNCH OF GRAPES
Here is a rough conventionalized
sketch of a bunch of grapes. The
puzzle is to make a copy of it with
one continuous stroke of the pencil,
never lifting the pencil from the paper,
nor going over a line twice through-
out. You can first try tracing it with
the pencil until you get some idea of
the general method.