Polyhedral Characterization of Reversible Hinged Dissections

Abstract We prove that two polygons A and B have a reversible hinged dissection (a chain hinged dissection that reverses inside and outside boundaries when folding between A and B) if and only if A and B are two noncrossing nets of a common polyhedron. Furthermore, monotone reversible...

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Bibliographic Details
Main Authors: Akiyama, Jin, Demaine, Erik D, Langerman, Stefan
Format: Article
Language:English
Published: Springer Japan 2021
Online Access:https://hdl.handle.net/1721.1/131807