Flat-Foldable Boxes with Thick Panels and Hinge-Supporters

Abstract

Abstract. It would be very useful to have a flat-foldable box with panels as thick and rigid as bulky unbending cardboard, but there are no such industrial products just yet. Rigid folding, which is tackled in the Cauchy rigidity theorem and the bellow theorem, is a very interesting subject in the mathematical sciences. We work on boxes of thick and rigid materials with a flat-foldable structure. This article aims to solve this problem and check the validity of the solution by simulation.