Some Polycubes Have No Edge Zipper Unfolding

Authors

Erik D. Demaine, Massachusetts Institute of Technology
Martin L. Demaine, Massachusetts Institute of Technology
David Eppstein, University of California, Irvine
Joseph O'Rourke, Smith CollegeFollow

Document Type

Article

Publication Date

7-24-2020

Abstract

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.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Rights

Licensed to Smith College and distributed CC-BY under the Smith College Faculty Open Access Policy.

Comments

Author’s submitted manuscript.

Recommended Citation

Demaine, Erik D.; Demaine, Martin L.; Eppstein, David; and O'Rourke, Joseph, "Some Polycubes Have No Edge Zipper Unfolding" (2020). Computer Science: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/csc_facpubs/225