Elastica surface generation of curved-crease origami
نویسندگان
چکیده
منابع مشابه
Curved Crease Origami
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 foldi...
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Folding a sheet of paper along a curve can lead to structures seen in decorative art and utilitarian packing boxes. Here we present a theory for the simplest such structure: an annular circular strip that is folded along a central circular curve to form a three-dimensional buckled structure driven by geometrical frustration. We quantify this shape in terms of the radius of the circle, the dihed...
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A measure of dissimilarity (distance) is proposed for comparing origami crease patterns represented as geometric graphs. The distance measure is determined by minimum-weight matchings calculated between the edges as well as the vertices of the graphs being compared. The distances between pairs of edges and pairs of vertices of the graph are weighted linear combinations of six parameters that co...
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We consider the curling of an initially flat but naturally curved elastica on a hard, nonadhesive surface. Combining theory, simulations, and experiments, we find novel behavior, including a constant front velocity and a self-similar shape of the curl that scales in size as t(1/3) at long times after the release of one end of the elastica. The front velocity is selected by matching the self-sim...
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In this paper we review masterpieces of curved crease folding, the deployed design methods and geometric studies on this special kind of paper folding. Our goal is to make this work and its techniques accessible to enable further development. By exploring masterpieces of the past and present of this still underexplored field, this paper aims to contribute to the development of novel design meth...
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ژورنال
عنوان ژورنال: International Journal of Solids and Structures
سال: 2018
ISSN: 0020-7683
DOI: 10.1016/j.ijsolstr.2017.11.029