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Origami has recently emerged as a platform for building functional engineering systems with versatile characteristics that targeted niche applications. One widely utilized origami-based structure is known as the Kresling origami spring…

Applied Physics · Physics 2023-04-07 Shadi Khazaaleh , Ravindra Masana , Mohammed F. Daqaq

Origami and crumpling are two extreme tools to shrink a 3-D shell. In the shrink/expand process, the former is reversible due to its topological mechanism, while the latter is irreversible because of its random-generated creases. We observe…

We survey results on the foldability of flat origami models. The main topics are the question of when a given crease pattern can fold flat, the combinatorics of mountain and valley creases, and counting how many ways a given crease pattern…

Metric Geometry · Mathematics 2013-07-04 Thomas C. Hull

We combine large-scale atomistic modelling with continuum elastic theory to study the shapes of graphene sheets embedding nanoscale kirigami. Lattice segments are selectively removed from a flat graphene sheet and the structure is allowed…

Mesoscale and Nanoscale Physics · Physics 2015-11-06 Bastien F. Grosso , E. J. Mele

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

Reconfigurable mechanical systems enable precise programmable control over structural properties, opening new opportunities in architected materials, adaptive devices, and multifunctional structures. Here, we introduce elastic rod origami…

Applied Physics · Physics 2025-10-14 Sophie Leanza , Jeseung Lee , Ruike Renee Zhao

This paper gives one set of axioms for origami constructions, and describes the set of constructible points under these axioms. The determination of the set of cunstructible points for this particular set of axioms is related to Hilbert's…

History and Overview · Mathematics 2007-05-23 David Auckly , John Cleveland

A new continuous model of shearable rod, subject to large elastic deformation, is derived from nonlinear homogenization of a one-dimensional periodic microstructured chain. As particular cases, the governing equations reduce to the Euler…

Soft Condensed Matter · Physics 2025-03-24 M. Paradiso , F. Dal Corso , D. Bigoni

Paper has a lot of interesting properties with which quite a lot of standard topics of science education can be turned into hands-on activities. Among others, experiments are presented on elasticity, capillarity, feedback oscillations,…

Physics Education · Physics 2025-07-15 Andreas Müller

This study introduces an innovative ventilation system, which leverages an origami-inspired structure to improve and regulate natural airflow driven by the stack effect, with applications in underground mines and buildings. The proposed…

Fluid Dynamics · Physics 2025-10-14 Ahmad F. Zueter , Ahmad S. Dalaq , Mohammed F. Daqaq

The wrist plays a pivotal role in facilitating motion dexterity and hand functions. Wrist orthoses, from passive braces to active exoskeletons, provide an effective solution for the assistance and rehabilitation of motor abilities. However,…

Robotics · Computer Science 2025-02-03 Chenying Liu , Shuai Mao , Yixing Lei , Liang He

We leverage the snap-through response of a bistable origami mechanism to induce a discontinuous evolution of drag with flow speed. The transition between equilibrium states is passively actuated by airflow, and we demonstrate that large…

Fluid Dynamics · Physics 2024-11-27 Rishabh Nain , Tom Marzin , Sophie Ramananarivo

Shape-morphing finds widespread utility, from the deployment of small stents and large solar sails to actuation and propulsion in soft robotics. Origami structures provide a template for shape-morphing, but rules for designing and folding…

Soft Condensed Matter · Physics 2021-10-25 Xiangxin Dang , Fan Feng , Paul Plucinsky , Richard D. James , Huiling Duan , Jianxiang Wang

Soft robotics gripper have shown great promise in handling fragile and geometrically complex objects. However, most existing solutions rely on bulky actuators, complex control strategies, or advanced tactile sensing to achieve stable and…

Robotics · Computer Science 2025-11-04 Peiyi Wang , Paul A. M. Lefeuvre , Shangwei Zou , Zhenwei Ni , Daniela Rus , Cecilia Laschi

The geometry of bending-active kirigami arches, decorated by cuts and holes, is strongly influenced by the location and geometry of the perforations. This study demonstrates that, in some instances, the geometric stiffening induced by…

Soft Condensed Matter · Physics 2025-08-14 Eszter Fehér

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…

Structures like galaxies and filaments of galaxies in the Universe come about from the origami-like folding of an initially flat three-dimensional manifold in 6D phase space. The ORIGAMI method identifies these structures in a cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-23 Mark C. Neyrinck , Bridget L. Falck , Alex S. Szalay

We investigate the graphs formed from the vertices and creases of an origami pattern that can be folded flat along all of its creases. As we show, this is possible for a tree if and only if the internal vertices of the tree all have even…

Computational Geometry · Computer Science 2019-07-16 David Eppstein

Why is it difficult to refold a previously folded sheet of paper? We show that even crease patterns with only one designed folding motion inevitably contain an exponential number of `distractor' folding branches accessible from a…

Soft Condensed Matter · Physics 2017-12-27 Menachem Stern , Matthew Pinson , Arvind Murugan

Origami is the art of folding paper into various patterns without cutting or tearing the paper. By viewing the paper as the complex plane, we iteratively compute and record all intersection points to construct mathematical origami sets.…

Rings and Algebras · Mathematics 2025-07-11 Sara Chari , Andrew Quinn Macauley