On universal covers for carpenter's rule folding

TL;DR

This paper introduces improved universal covers that facilitate the folding of planar shapes according to the carpenter's rule, enhancing the theoretical framework for shape reconfiguration.

Contribution

It provides new, optimized universal covers for carpenter's rule folding, advancing the geometric understanding of shape reconfiguration in the plane.

Findings

New universal covers for planar folding

Enhanced bounds on cover sizes

Theoretical improvements over previous methods

Abstract

We present improved universal covers for carpenter's rule folding in the plane.