Hinged Dissections Exist

We prove that any finite collection of polygons of equal area has a common hinged dissection. That is, for any such collection of polygons there exists a chain of polygons hinged at vertices that can be folded in the plane continuously without self-intersection to form any polygon in the collect...

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Bibliographic Details
Main Authors: Abbott, Timothy G., Abel, Zachary Ryan, Charlton, David, Demaine, Erik D., Demaine, Martin L., Kominers, Scott Duke
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:en_US
Published: Springer-Verlag 2011
Online Access:http://hdl.handle.net/1721.1/62808
https://orcid.org/0000-0003-3803-5703
https://orcid.org/0000-0002-4295-1117