Paper by Martin L. Demaine
- Duks Koschitz, Erik D. Demaine, and Martin L. Demaine, “Curved Crease Origami”, in Abstracts from Advances in Architectural Geometry (AAG 2008), Vienna, Austria, September 13–16, 2008, pages 29–32.
Most origami, both practical and mathematical, uses just straight creases.
Curved creases, on the other hand, offer a wealth of new design possibilities.
While the first curved-crease models date back to the Bauhaus in the 1930s,
curved creasing remains relatively underexplored. The principal challenge
considered here is to understand what 3D forms result as natural resting
state(s) after folding a set of curved creases, with the potential to enable a
new category of design. This problem goes beyond the mathematics of
developable surfaces to a question of physics: equilibria of an unstretchable
surface with uncreased and creased (plastically deformed) portions folding
elastically toward desired angles. Two natural approaches for experimenting
with this question are computer simulation and building real models. We follow
the latter approach, being more interested in how real materials behave and
how the resulting structures might be applied in the field of architecture.
- The abstract is available in PDF (2847k).
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Last updated December 13, 2016 by