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.

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