In this paper we present a novel engineering application of Origami, using it for both the flexibility and the rigidity the folding patterns provide. The proposed Folded Textured Sheets have several interesting mechanical properties. The folding patterns are modelled as a pin-jointed framework, which allows the use of established structural engineering methods to gain insight into the kinematic...

Self-assembly is a pervasive phenomenon in which a disordered system of pre-existing components forms an organized structure or pattern as a consequence of specific, local interactions among the components themselves, without external direction. In particular, DNA self-assembly is the science of organizing DNA sequences into desired shape by annealing several synthetically prepared oligonucleot...

Origami structures are a traditional Japanese art that have recently found their way into engineering applications due to powerful capability transform flat 2D complex 3D along creases. This has given rise application as designer materials with unprecedented mechanical characteristics, also known metamaterials. Herein, gradient Miura-ori origami metamaterials introduced method preprogram out-of...

A form generation method of rigid origami with cutting lines is proposed. Bézier surface approximated by the whose faces have three or more edges. Three types approximation errors are defined respect to distance between vertices and target surface, area difference, normal vector difference surface. The weighted sum minimized under constraints on developability origami. Numerical examples HP dom...

It is well known that the trisection of an angle with compass and ruler is not possible in general. What is not so well known (even if it is folklore in the community of geometric constructions and mathematical paper folding) is that angle trisection can be done with other tools, especially by an Origami construction. In this paper we briefly discuss this construction and give a geometric and a...

In this work, we created a stackable and integratable two-chambered paper-based microbial fuel cell (MFC) for potentially powering on-chip paper-based biosensors. By applying origami techniques, four batteries were connected in series to obtain an open-circuit voltage (1.6V) and a stable output current (4 μA). The bacterial cells flowed through patterned fluidic pathways within the paper matrix...

We develop an intrinsic necessary and sufficient condition for single-vertex origami crease patterns to be able to fold rigidly. We classify such patterns in the case where the creases are pre-assigned to be mountains and valleys as well as in the unassigned case. We also illustrate the utility of this result by applying it to the new concept of minimal forcing sets for rigid origami models, wh...

Image-based modeling systems use photographic images to ease the creation of and to enhance the realism of computer models. However, many of these systems require knowledge about camera parameters and 3D scene information, which may not be easily obtained. This paper proposes an interactive, image-based modeling system termed "Image Origami" that allows rapid construction of 3D environments fro...

3 origami (˛ orig¯ a·mi) The Japanese art of making elegant designs using folds in all kinds of paper. One style of functional programming is based purely on recursive equations. Such equations are easy to explain, and adequate for any computational purpose , but hard to use well as programs get bigger and more complicated. In a sense, recursive equations are the 'assembly language' of function...

Design of the DNA origami structures. Using caDNAno, we designed the following three DNA origami structures: a straight 6by-3 honeycomb-pleated structure (HC), a straight 4-by-4 squarepleated structure (SQ), and a 6-by-3 honeycomb-pleated structure having a 90◦ programmable bend (HC-90◦). Below, we briefly describe our protocols for obtaining the caDNAno designs. Building a DNA origami structur...