Paper by Martin L. Demaine
- Cynthia Sung, Erik D. Demaine, Martin L. Demaine, and Daniela Rus, “Joining Unfoldings of 3-D Surfaces”, in Proceedings of the 37th Mechanisms and Robotics Conference (MR 2013), Portland, Oregon, August 4–7, 2013.
Origami-based design methods enable complex devices to be fabricated quickly
in plane and then folded into their final 3-D shapes. So far, these folded
structures have been designed manually. This paper presents a geometric
approach to automatic composition of folded surfaces, which will allow
existing designs to be combined and complex functionality to be produced with
minimal human input. We show that given two surfaces in 3-D and their 2-D
unfoldings, a surface consisting of the two originals joined along an
arbitrary edge can always be achieved by connecting the two original
unfoldings with some additional linking material, and we provide an algorithm
to generate this composite unfolding. The algorithm is verified using various
surfaces, as well as a walking and gripping robot design.
- The paper is available in PDF (1705k).
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- Related papers:
- JoiningUnfoldings_JMD2013 (Joining Unfoldings of 3-D Surfaces)
See also other papers by Martin Demaine.
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