Paper by Erik D. Demaine
- Erik D. Demaine, Martin L. Demaine, David Eppstein, and Joseph O'Rourke, “Some Polycubes Have No Edge-Unzipping”, in Proceedings of the 32nd Canadian Conference in Computational Geometry (CCCG 2020), Saskatchewan, Saskatoon, Canada, August 5–7, 2020.
It is unknown whether every polycube (polyhedron constructed by gluing cubes
face-to-face) has an edge unfolding, that is, cuts along edges of the cubes
that unfolds the polycube to a single nonoverlapping polygon in the plane.
Here we construct polycubes that have no edge zipper unfolding where
the cut edges are further restricted to form a path.
- Joseph O'Rourke's presentation is available on YouTube.
- The paper is available in PDF (1658k).
- See information on file formats.
- [Google Scholar search]
See also other papers by Erik Demaine.
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