# Approximating a Target Surface with 1-DOF Rigid Origami

arXiv: https://arxiv.org/abs/1905.04773 · HTML: https://mlsanity.com/paper/1905.04773/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 12 May 2019.

## Built on by (most cited first, 1 of 1)

- [Automating Rigid Origami Design](https://mlsanity.com/paper/2211.13219/) (2022)

## Abstract (arXiv)

We develop some design examples for approximating a target surface at the final rigidly folded state of a developable quadrilateral creased paper, which is folded with a 1-DOF rigid folding motion from the planar state. The final rigidly folded state is reached due to the clashing of panels. Now we can approximate some specific types of non-developable surfaces, but we do not yet fully understand how to approximate an arbitrary surface with a developable creased paper that has limited DOFs. Our designs might have applications in areas related to the formation of a shell structure from a planar region.