\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2010b.00478}
\itemau{Steihaug, Trond; Rogers, D.G.}
\itemti{A minimum requiring angle trisection.}
\itemso{Normat. 57, No. 2, 78-89 (2009).}
\itemab
Summary: Given a piece of foldable material (e.g. paper) in the shape of a right-angled triangle. Fold it by placing the right-angled corner on the hypotenuse. How should this be done in order to minimize the area of the folded triangle? The problem leads to a cubic equation whose relevant solution turns out to involve an angle trisection (and thus obtainable by a succession of foldings). Variations of the problem are considered, in particular letting one of the acute corners instead be placed on the opposite side.
\itemrv{~}
\itemcc{G90}
\itemut{paper folding; minimum area; cubic equation; angle trisection}
\itemli{}
\end