3 papers
cond-mat.dis-nn2025
Finding Some Impossibility of Flat-Folding of Given Origami Crease Pattern by Graphical Representation
Chihiro Nakajima
The flat-foldability problem in origami asks whether a given crease pattern can be folded flat without any physical penetration or intrusion of polygons into the creases. As establ…
cond-mat.stat-mech2024
An Efficient Enumeration of Flat-Foldings : Study on Random Single Vertex Origami
Chihiro Nakajima
This paper deals with themes such as approximate counting/evaluation of the total number of flat-foldings for random origami diagrams, evaluation of the values averaged over variou…
cond-mat.dis-nn2024
A Spin model for global flat-foldability of random origami
Chihiro Nakajima
We map the problem of determining flat-foldability of the origami diagram onto the ground-state search problem of spin glass model on random graphs. If the origami diagram is local…