Curved folding

Abstract

Fascinating and elegant shapes may be folded from a single planar sheet of material without stretching, tearing or cutting, if one incorporates curved folds into the design. We present an optimization-based computational framework for design and digital reconstruction of surfaces which can be produced by curved folding. Our work not only contributes to applications in architecture and industrial design, but it also provides a new way to study the complex and largely unexplored phenomena arising in curved folding.

Analysis of displacements in beam structures and shells with middle developable surfaces

“…Since this type of surfaces is widely used in manufacturing [10][11][12][13][14][15] in many fields such as shipbuilding [16,17], engineering [18] and architecture [19,20] and products are mostly obtained by the means of bending, the problem of plastic deformations should be taken into account. However, most works about developable surfaces do not concern to this point [21][22][23][24][25][26][27].…”

An Overview of Folding Techniques in Architecture Design

“…In 2007, a book about geometric folding algorithms was published by Demaine and O'Rourke [15], which study folding techniques with an emphasis on algorithmic aspects. Inspired by it, many computational geometers became interested in folding problems and computational origami, their works concentrate on piecewise linear structures [15] and curved folding structures [16].…”

On the computation of foldings

“…In [8] a general and effective appoximating method is presented in order to compute the spatial form from given planar shapes. Our approach in this particular case is different.…”