Structural DNA nanotechnology utilizes DNA molecules as programmable information-coding polymers to create higher order structures at the nanometer scale. An important milestone in structural DNA nanotechnology was the development of scaffolded DNA origami in which a long single-stranded viral genome (scaffold strand) is folded into arbitrary shapes by hundreds of short synthetic oligonucleotid...

Computational origami is the computer assisted study of origami geometry. An origami is constructed by a finite sequence of fold steps, each consisting in folding along a fold line or unfolding. We base the fold methods on a formal system called Huzita’s axiom system, and show how folding an origami can be formulated by a conditional rewrite system. A rewriting sequence of origami structures is...

Many people enjoy doing origami, an art of paper folding, since childhood. Origami is a more powerful geometry construction tool than straight edge and compass. But there are some physical limitations with traditional origami on paper. In this study, a computational origami environment has been developed. Huzita axioms are implemented with a computer algebra system, which not only deals with fu...

Origami is popular art of folding paper with long-time traditions. In its long history, a great number of traditional works have been accumulated, and moreover, more and more original works are designed and published into origami drill books etc. every year. For the majority of origami lovers, the origami drill books are probably the most convenient means for learning and enjoying origami makin...

A versatile, bottom-up approach allows the controlled fabrication of polydopamine (PD) nanostructures on DNA origami. PD is a biosynthetic polymer that has been investigated as an adhesive and promising surface coating material. However, the control of dopamine polymerization is challenged by the multistage-mediated reaction mechanism and diverse chemical structures in PD. DNA origami decorated...

Origami geometric design is fundamental to many engineering applications of origami structures. This paper presents a new method for the design of three-dimensional (3D) origami structures suitable for engineering use. Using input point sets specified, respectively, in the x−z and y−z planes of a Cartesian coordinate system, the proposed method generates the coordinates of the vertices of a fol...

DNA origami involves the folding of long single-stranded DNA into designed structures with the aid of short staple strands; such structures may enable the development of useful nanomechanical DNA devices. Here we develop versatile sensing systems for a variety of chemical and biological targets at molecular resolution. We have designed functional nanomechanical DNA origami devices that can be u...

This paper addresses the problem of finding minimum forcing sets in origami. The origami material folds flat along straight lines called creases that can be labeled as mountains or valleys. A forcing set is a subset of creases that force all the other creases to fold according to their labels. The result is a flat folding of the origami material. In this paper we develop a linear time algorithm...

This paper addresses the problem of finding minimum forcing sets in origami. The origami material folds flat along straight lines called creases that can be labeled as mountains or valleys. A forcing set is a subset of creases that force all the other creases to fold according to their labels. The result is a flat folding of the origami material. In this paper we develop a linear time algorithm...

In this paper, we propose a novel computational method to simulate and design origami whose form is governed by the equilibrium of forces from the elastic bending of each panel. In special, we explore statically indeterminate origami structure that can be manipulated by pin supporting finite number of vertices. The computational method is proposed so that we can interactively explore the design...