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This document presents a computational method for automatically assigning mountain-valley fold lines to given geometric configurations of origami structures. The method is based on a geometric-graph-theoretic representation approach combined with a graph-theoretic cycle detection algorithm. It takes the subgraphs of a given structure as inputs. Then, a mixed-integer linear programming model is established to find flat-foldable origami patterns under constraints on local flat-foldability and vertex degree. N

Author
gbook pics
Language
EN