BYU

Abstract by Jacob Badger

Personal Infomation


Presenter's Name

Jacob Badger

Co-Presenters

None

Degree Level

Undergraduate

Co-Authors

Todd Nelson
Robert Lang
Larry Howell
Denise Halverson

Abstract Infomation


Department

Mathematics

Faculty Advisor

Denise Halverson

Title

Explaining Curved-Fold Behavior Through Normalized Coordinate Equations and Energy Methods

Abstract

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.