Abstract by Jacob Badger
Explaining Curved-Fold Behavior Through Normalized Coordinate Equations and Energy Methods
While polyhedral folding--folding where all creases are straight and surfaces are planar--has become fairly well-defined, curved folding--folding where creases are curved and surfaces can bend--remains relatively enigmatic. A great deal of the mystery surrounding curved folding is due to both the complexity of curved fold relationships and the infinite number of configurations a curved fold can ssume. Among the infinite possible configurations, it becomes of interest to predict the natural--or lowest energy--configuration a curved fold will assume. We present novel normalzied coordinate equations that simplify curved fold relationships then use these equations to construct an energy method that can be used to predict natural configurations of general curved folds.