Rigid origami vertices: conditions and forcing sets

Autor: Zachary Abel, Jason Cantarella, Erik D. Demaine, David Eppstein, Thomas C. Hull, Jason S. Ku, Robert J. Lang, Tomohiro Tachi
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Journal of Computational Geometry, Vol 7, Iss 1 (2016)
Druh dokumentu: article
ISSN: 1920-180X
DOI: 10.20382/jocg.v7i1a9
Popis: We develop an intrinsic necessary and sufficient condition for single-vertex origami crease patterns to be able to fold rigidly. We classify such patterns in the case where the creases are pre-assigned to be mountains and valleys as well as in the unassigned case. We also illustrate the utility of this result by applying it to the new concept of minimal forcing sets for rigid origami models, which are the smallest collection of creases that, when folded, will force all the other creases to fold in a prescribed way.
Databáze: Directory of Open Access Journals