Flipping your Lid
نویسندگان
چکیده
Given a polygon P , a ipturn involves re ecting a pocket p of P through the midpoint of the lid of p. In 1973, Joss and Shannon (published in Gr unbaum (1995)) showed that any polygon on n vertices will become convex after a sequence of at most (n 1)! ipturns. They conjectured that this bound was not tight, and that n=4 ipturns would always be suÆcient. In this work, we show that any polygon on n vertices will be convex after any sequence of at most n(n 3)=2 ipturns.
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