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New Rigid-foldable Developable Quadrilateral Creased Papers

Metric Geometry 2020-06-15 v1

Abstract

This article extends the range of 1-DOF rigid-foldable developable quadrilateral creased papers. In a previous article, we put forward a sufficient and necessary condition for a quadrilateral creased paper to be rigid-foldable, and introduce a special sufficient condition that is convenient for practical use, generating quadrilateral creased paper by stitching basic units. In this article we develop new flat-foldable units and show how these can be used to construct a series of more complex rigid-foldable developable quadrilateral creased papers.

Cite

@article{arxiv.2006.06849,
  title  = {New Rigid-foldable Developable Quadrilateral Creased Papers},
  author = {Zeyuan He and Simon D. Guest},
  journal= {arXiv preprint arXiv:2006.06849},
  year   = {2020}
}

Comments

8 pages, 8 figures, published in the Proceedings of IASS Annual Symposia 2018 (17), 1-8

R2 v1 2026-06-23T16:15:30.996Z