Hinged Duplication : Conic and Developable Surfaces

This study explores a developable geometry methodology with the aim to create maximum volume from a single sheet of paper. After researching curved crease folding techniques, I developed a system of redundant duplication through geodesic hinging curves inspired by the work of Joel Lamere. On a curved surface, a geodesic curve is the shortest path between 2 points. When the geodesic curve is unrolled with the developable geometry, it forms a straight line. This is powerful in the manipulation of flat stock material as it provides a hinge line to fold across to further expand the range of volume. This project is the first of an investigation to duplicate a geometry in the x and y axis to allow for nearly infinite expansion.  

With the aim to create a global volumetric field from local forms, I developed a digital tool to allow for a cyclical play between digital variation and material manipulation, each informing the progression of the other. The field studies above explore the subtle play allowed within the rules of manipulation including 1) cone rotation 2) cone height and 3) apex orientation. The two-tone color treatment exposes the play between interior and exterior achieved through the duplicating edge. 


GSD SP 2014
Professor: Cameron Wu