A Review on Curved Creases in Art, Design and Mathematics
نویسندگان
چکیده
In this paper we review masterpieces of curved crease folding, the deployed design methods and geometric studies regarding this special kind of paper folding. Our goal is to make this work and its techniques accessible to enable further development. By exploring significant works of the past and present of this still underexplored field, this paper aims to contribute to the history of this geometry and the development of novel design methods and a brief survey of approaches in geometry .
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...
متن کاملCurved Crease Folding a Review on Art, Design and Mathematics
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...
متن کاملCharacterization of Curved Creases and Rulings: Design and Analysis of Lens Tessellations
We describe a general family of curved-crease folding tessellations consisting of a repeating “lens” motif formed by two convex curved arcs. The third author invented the first such design in 1992, when he made both a sketch of the crease pattern and a vinyl model (pictured below). Curve fitting suggests that this initial design used circular arcs. We show that in fact the curve can be chosen t...
متن کاملAlgorithms Meet Art, Puzzles, and Magic
Two years before WADS began, my father Martin Demaine and my six-year-old self designed and made puzzles as the Erik and Dad Puzzle Company, which distributed to toy stores across Canada. So began our journey into the interactions between algorithms and the arts. More and more, we find that our mathematical research and artistic projects converge, with the artistic side inspiring the mathematic...
متن کاملGeometric mechanics of curved crease origami.
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...
متن کامل