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We show that periodically folded graphene sheets with enhanced spin-orbit interaction due to curvature effects can carry spin polarized currents and have gaps in the electronic spectrum in the presence of weak magnetic fields. Our results…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 A. T. Costa , M. S. Ferreira , Toby Hallam , Georg S. Duesberg , A. H. Castro Neto

In this paper, we provide assembly instructions for an easy to build experimental setup in order to gain practical experience with tomography. In view of this, this paper can be seen as a complementary work to excellent mathematical…

Image and Video Processing · Electrical Eng. & Systems 2024-02-23 Axel Kittenberger , Leonidas Mindrinos , Otmar Scherzer

Fully soft bistable mechanisms have shown extensive applications ranging from soft robotics, wearable devices, and medical tools, to energy harvesting. However, the lack of design and fabrication methods that are easy and potentially…

Robotics · Computer Science 2023-02-15 Mrunmayi Mungekar , Leixin Ma , Wenzhong Yan , Vishal Kackar , Shyan Shokrzadeh , M. Khalid Jawed

Kirigami, art of paper cutting, enables two-dimensional sheets transforming into unique shapes which are also hard to reshape once with prescribed cutting patterns. Rare kirigami designs manipulate cuts on three-dimensional objects to…

Materials Science · Physics 2021-03-30 Yanbin Li , Jie Yin

We introduce a new class of thin flexible structures that morph from a flat shape into prescribed 3D shapes without an external stimulus such as mechanical loads or heat. To achieve control over the target shape, two different concepts are…

Applied Physics · Physics 2023-01-20 Jan Zavodnik , Yunbo Wang , Wenzhong Yan , Miha Brojan , M. Khalid Jawed

The field of rigid origami concerns the folding of stiff, inelastic plates of material along crease lines that act like hinges and form a straight-line planar graph, called the crease pattern of the origami. Crease pattern vertices in the…

Metric Geometry · Mathematics 2025-07-22 Thomas C. Hull

Programmable folding of elastic sheets typically relies on predefined flexible creases or active materials-enabled hinges, which lack intrinsic bistability and limit reprogrammability within a single structure. Here, we present a…

Soft Condensed Matter · Physics 2026-05-05 Qun Zhang , Weicheng Huang , Amir Hajiyavand , Hyunyoung Kim , Claire Dancer , Karl Dearn , Mingchao Liu

An origami extrusion is a folding of a 3D object in the middle of a flat piece of paper, using 3D gadgets which create faces with solid angles. In this paper we focus on 3D gadgets which create a top face parallel to the ambient paper and…

Computational Geometry · Computer Science 2020-07-07 Mamoru Doi

Foldable robots have been an active area of robotics research due to their high volume-to-mass ratio, easy packability, and shape adaptability. For locomotion, previously developed foldable robots have either embedded linear actuators in,…

Robotics · Computer Science 2026-01-30 Alex S. Miller , Leo McElroy , Jeffrey H. Lang

This article reviews the so-called "axioms" of origami (paper folding), which are elementary single-fold operations to achieve incidences between points and lines in a sheet of paper. The geometry of reflections is applied, and exhaustive…

History and Overview · Mathematics 2017-06-09 Jorge C. Lucero

We use a regular arrangement of kirigami elements to demonstrate an inverse design paradigm for folding a flat surface into complex target configurations. We first present a scheme using arrays of disclination defect pairs on the dual to…

Soft Condensed Matter · Physics 2016-02-17 Daniel M. Sussman , Yigil Cho , Toen Castle , Xingting Gong , Euiyeon Jung , Shu Yang , Randall D. Kamien

This paper focuses on packaging design using origami techniques, specifically designs incorporating curves, known as pillow boxes. While conventional paper packaging boxes are typically cuboid, pillow box designs include curved surfaces,…

Computational Geometry · Computer Science 2024-10-24 Jun Mitani

Origami offers a versatile framework for designing morphable structures and soft robots by exploiting the geometry of folds. Tubular origami structures can act as continuum manipulators that balance flexibility and strength. However,…

Robotics · Computer Science 2025-02-11 Aida Parvaresh , Arman Goshtasbi , Jonathan Andres Tirado Rosero , Ahmad Rafsanjani

The leaf-like origami structure was inspired by geometric patterns found in nature, exhibiting unique transitions between open and closed shapes. With a bistable energy landscape, leaf-like origami is able to replicate the autonomous…

Robotics · Computer Science 2020-11-04 Hiromi Yasuda , Kyle Johnson , Vicente Arroyos , Koshiro Yamaguchi , Jordan R. Raney , Jinkyu Yang

The article studies the elastic and locomotive properties of Miura-ori-type paper origami. The mechanics of a single paper crease is studied experimentally, and its non-elastic properties turn out to be crucial. The entire origami…

Soft Condensed Matter · Physics 2019-04-16 Oryna Ivashtenko , Polina Kofman , Oleksiy Golubov , Zakhar Maizelis

Can folding a piece of paper flat make it larger? We explore whether a shape $S$ must be scaled to cover a flat-folded copy of itself. We consider both single folds and arbitrary folds (continuous piecewise isometries $S\rightarrow R^2$).…

Thick origami structures are considered here as assemblies of polygonal panels hinged to each other along their edges according to a corresponding origami crease pattern. The determination of the internal actions caused by external loads in…

Soft Condensed Matter · Physics 2024-05-21 Andrea Micheletti , Alessandro Tiero , Giuseppe Tomassetti

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…

Soft Condensed Matter · Physics 2012-09-18 Marcelo A. Dias , Levi H. Dudte , L. Mahadevan , Christian D. Santangelo

We present a simple, accessible method for autonomously transforming flat plastic sheets into intricate three-dimensional structures using only uniform heating and common tools such as household ovens and scissors. Our approach combines…

Robotics · Computer Science 2025-07-01 Mrunmayi Mungekar , Sanjith Menon , M. Ravi Shankar , M. Khalid Jawed

Origami structures have been proposed as a means of creating three-dimensional structures from the micro- to the macroscale, and as a means of fabricating mechanical metamaterials. The design of such structures requires a deep understanding…

Soft Condensed Matter · Physics 2020-04-29 M. Berry , M. E. Lee-Trimble , C. D. Santangelo