  We study Kauffman's model of folded ribbon knots: knots made of a thin strip
of paper folded flat in the plane. The folded ribbonlength is the length to
width ratio of such a folded ribbon knot. The folded ribbon knot is also a
framed knot, and the ribbon linking number is the linking number of the knot
and one boundary component of the ribbon. We find the minimum folded
ribbonlength for $3$-stick unknots with ribbon linking numbers $\pm1$ and $\pm
3$, and we prove that the minimum folded ribbonlength for $n$-gons with obtuse
interior angles is achieved when the $n$-gon is regular. Among other results,
we prove that the minimum folded ribbonlength of any folded ribbon unknot which
is a topological annulus with ribbon linking number $\pm n$ is bounded from
above by $2n$.
