## Refold rigidity of convex polyhedra

- Erik D. Demaine, Martin L. Demaine, Jin ichi Itoh, Anna Lubiw, Chie Nara, Joseph O’Rourke
- In 28th European Workshop Comput. Geom. (EuroCG),
- 2012

We show that every convex polyhedron may be unfolded to one planar piece, and then refolded to a different convex polyhedron. If the unfolding is restricted to cut only edges of the polyhedron, we identify several polyhedra that are “edge-unfold rigid” in the sense that each of their unfoldings may only fold back to the original. For example, each of the 43… (More)