Title
Rigid Origami Vertices: Conditions And Forcing Sets
Abstract
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.
Year
DOI
Venue
2016
10.20382/jocg.v7i1a9
JOURNAL OF COMPUTATIONAL GEOMETRY
Field
DocType
Volume
Topology,Combinatorics,Vertex (geometry),Forcing (mathematics),Mathematics
Journal
7
Issue
ISSN
Citations 
1
1920-180X
3
PageRank 
References 
Authors
0.47
3
8
Name
Order
Citations
PageRank
Zachary Abel15710.42
Jason Cantarella2285.94
Erik D. Demaine34624388.59
David Eppstein44897533.94
Thomas Hull552.24
Jason S. Ku6114.26
Robert J. Lang77910.44
Tomohiro Tachi8327.12