Drawing Stars

Is it possible to trace a path along a $p$ -pointed star, $\{p/q\}$ ,

• without lifting the pen off the paper and
• without going over a path already traced

such that we end where we started?

Note: $\{p/q\}$ denotes a $p$ -pointed star formed by joining every $q^{\text{th}}$ vertex on a convex $p$ -gon.