Pliegues y origami en las disciplinas proyectuales

This article presents the results of a workshop that took place during the Week of Art, Culture and Architecture in Universidad de América. In the first section Flat Origami is introduced, that is the variation of folded paper that we hace been working for the last 10 years. It is explained how the relationship with this techique was developed and we present the reader with some fold patterns to encourage experimentation. We strive to bring the reader to the different posibilities of origamis techniques. In the second section a wide range of examples in diverse design disciplines is presented.Este artículo presenta de manera escrita el taller llevado a cabo durante la Semana del Arte, la Cultura y la Arquitectura de la Universidad América. En la primera parte se hace una introducción al origami plano que es la variedad de papel doblado con laque se ha trabajado los últimos 10 años. Se explica cómo se dio la relación con esta técnica y se deja para el lector un patrón de pliegues para que pueda experimentar. En el segundo apartado, buscando acercar al lector con las posibilidades de las técnicasdel origami, se dan una variedad de ejemplos en diversas disciplinas desde el diseño de indumentaria hasta la robótica

A Computational Design Method for Tucking Axisymmetric Origami Consisting of Triangular Facets

Three-dimensional (3D) origami, which can generate a structure through folding a crease pattern on a flat sheet of paper, has received considerable attention in art, mathematics, and engineering. With consideration of symmetry, the user can efficiently generate a rational crease pattern and make the fabricated shape stable. In this paper, we focus on a category of axisymmetric origami consisting of triangular facets and edit the origami in 3D space for expanding its variations. However, it is difficult to retain the developability, which requires the sum of the angles around each interior vertex needing to equal 360 degrees, for designing origami. Intersections occur between crease lines when such a value is larger than 360 degrees. On the other hand, blank spaces (unfolded areas) emerge in the crease pattern when the value is less than 360 degrees. The former case is difficult to generate a realizable shape due to the crease lines are intersected with each other. For the latter case, however, blank spaces can be filled with crease lines and become a part of the origami through tucking. Here, we propose a computational method to add flaps or tucks on the 3D shape, which contains non-developable interior vertices, for achieving the resulting origami. Finally, on the application side, we describe a load-bearing experiment on a stool shape-like origami to demonstrate the potential usage

Programming stiff inflatable shells from planar patterned fabrics

Lack of stiffness often limits thin shape-shifting structures to small scales. The large in-plane transformations required to distort the metrics are indeed commonly achieved by using soft hydrogels or elastomers. We introduce here a versatile single-step method to shapeprogram stiff inflated structures, opening the door for numerous large scale applications, ranging from space deployable structures to emergency shelters. This technique relies on channel patterns obtained by heat-sealing superimposed flat quasi-inextensible fabric sheets. Inflating channels induces an anisotropic in-plane contraction and thus a possible change of Gaussian curvature. Seam lines, which act as a director field for the in-plane deformation, encode the shape of the deployed structure. We present three patterning methods to quantitatively and analytically program shells with non-Euclidean metrics. In addition to shapes, we describe with scaling laws the mechanical properties of the inflated structures. Large deployed structures can resist their weight, substantially broadening the palette of applications.Comment: 6 pages, 4 figures and Supplementary Information (14 pages, 3 figures

Rigid Folding of Generalized Waterbomb Origami Tubes

The accurate theoretical description of the folding motion of origami structures is the foundation for their design and precise control in engineering applications. However, the folding behavior of most general origami structures is very difficult to analyze because of the lack of theoretical model and analysis methodology for the complex mobile assemblies of spherical linkages. This paper focuses on the widely-used Waterbomb origami tubes. Based on the kinematics and compatibility of spherical linkages, the rigid folding behavior of generalized Waterbomb tubes was systematically analyzed with analytical kinematics equations to describe their rigid contract and twist motion. The effect of various geometrical parameters on the rigid folding behaviour, bifurcation property as well as physical blockages of the Waterbomb origami tube was studied. This work lays a theoretical foundation for the design and control of programmable metamaterials, deformable structures, and robots based on Waterbomb origami tubes, while such kinematic model can be readily applied to other origami patterns