It's possible to place six pencils on the table
in such a way that every of them touches the other two - as shown in
the illustration. Can you place the same six pencils on the table so
that each pencil touches every other one?
Some readers of Martin Gardner's famous puzzle column in the
Scientific American magazine discovered that this puzzle has a
solution for seven pencils too. So, after you solve the challenge with
six pencils, add to them one more pencil, and try to discover that
incredible 7-pencil solution.