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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

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

Origami structures enabled by folding and unfolding can create complex 3D shapes. However, even a small 3D shape can have large 2D unfoldings. The huge initial dimension of the 2D flattened structure makes fabrication difficult, and defeats…

Computational Geometry · Computer Science 2018-03-12 Zhonghua Xi , Yu-Ki Lee , Young-Joo Lee , Yun-hyeong Kim , Huangxin Wang , Yue Hao , Young-Chang Joo , In-Suk Choi , Jyh-Ming Lien

Rigid origami is a branch of origami with great potential in engineering applications to deal with rigid-panel folding. One of the challenges is to compactly fold the polyhedra made from rigid facets with a single degree of freedom. In this…

Applied Physics · Physics 2020-05-15 Yuanqing Gu , Yan Chen

Traditional origami structures can be continuously deformed back to a flat sheet of paper, while traditional kirigami requires glue or seams in order to maintain its rigidity. In the former, non-trivial geometry can be created through…

Materials Science · Physics 2020-01-29 Xinyu Wang , Simon D. Guest , Randall D. Kamien

Miura-Ori, a celebrated origami pattern that facilitates functionality in matter, has found multiple applications in the field of mechanical metamaterials. Modifications of Miura-Ori pattern can produce curved configurations during folding,…

Soft Condensed Matter · Physics 2024-12-20 Alon Sardas , Michael Moshe , Cy Maor

Creating complex spatial objects from a flat sheet of material using origami folding techniques has attracted attention in science and engineering. In the present work, we employ geometric properties of partially folded zigzag strips to…

Materials Science · Physics 2015-09-25 Maryam Eidini , Glaucio H. Paulino

Kirigami-inspired metamaterials are attracting increasing interest because of their ability to achieve extremely large strains and shape changes via out-of-plane buckling. While in flat kirigami sheets the ligaments buckle simultaneously as…

Soft Condensed Matter · Physics 2019-05-02 Ahmad Rafsanjani , Lishuai Jin , Bolei Deng , Katia Bertoldi

Kirigami, an ancient paper cutting art, offers a promising strategy for 2D-to-3D shape morphing through cut-guided deformation. Existing kirigami designs for target 3D curved shapes rely on intricate cut patterns in thin sheets, making the…

Applied Physics · Physics 2022-03-02 Yaoye Hong , Yinding Chi , Yanbin Li , Yong Zhu , Jie Yin

Kirigami is the art of cutting paper to make it articulated and deployable, allowing for it to be shaped into complex two and three-dimensional geometries. The mechanical response of a kirigami sheet when it is pulled at its ends is enabled…

Differential Geometry · Mathematics 2021-04-20 Qing Han , Marta Lewicka , L. Mahadevan

Origami, the traditional art of paper folding, has revolutionized science and technology in recent years and has been found useful in various real-world applications. In particular, origami-inspired structures have been utilized for…

Soft Condensed Matter · Physics 2025-06-19 Rongxuan Li , Gary P. T. Choi

The art and science of folding intricate three-dimensional structures out of paper has occupied artists, designers, engineers, and mathematicians for decades, culminating in the design of deployable structures and mechanical metamaterials.…

Computational Physics · Physics 2016-01-12 Friedrich Bös , Etienne Vouga , Omer Gottesman , Max Wardetzky

In this paper we explore and develop a simple set of rules that apply to cutting, pasting, and folding honeycomb lattices. We consider origami-like structures that are extinsically flat away from zero-dimensional sources of Gaussian…

Soft Condensed Matter · Physics 2015-06-22 Toen Castle , Yigil Cho , Xingting Gong , Euiyeon Jung , Daniel M. Sussman , Shu Yang , Randall D. Kamien

Origami is an ancient art that continues to yield both artistic and scientific insights to this day. In 2012, Buhler, Butler, de Launey, and Graham extended these ideas even further by developing a mathematical construction inspired by…

Rings and Algebras · Mathematics 2023-06-07 Deveena R. Banerjee , Sara Chari , Adriana Salerno

One-dimensional slender bodies can be deformed or shaped into spatially complex curves relatively easily due to their inherent compliance. However, traditional methods of fabricating complex spatial shapes are cumbersome, prone to error…

Applied Physics · Physics 2019-01-30 Soroush Kamrava , Ranajay Ghosh , Yu Yang , Ashkan Vaziri

Kirigami, the art of paper cutting, has been widely used in the modern design of mechanical metamaterials. In recent years, many kirigami-based metamaterials have been designed based on different planar tiling patterns and applied to…

Soft Condensed Matter · Physics 2026-04-22 Hugo Hiu Chak Cheng , Gary P. T. Choi

Kirigami offers unique opportunities for guided morphing by leveraging the geometry of the cuts. This work presents inflatable kirigami crawlers created by introducing cut patterns into heat-sealable textiles to achieve locomotion upon…

Robotics · Computer Science 2025-06-06 Burcu Seyidoğlu , Aida Parvaresh , Bahman Taherkhani , Ahmad Rafsanjani

Kirigami tessellations, regular planar patterns formed by cutting flat, thin sheets, have attracted recent scientific interest for their rich geometries, surprising material properties and promise for technologies. Here we pose and solve…

Soft Condensed Matter · Physics 2020-02-10 Gary P. T. Choi , Levi H. Dudte , L. Mahadevan

Here we describe an ultra-low-cost origami-based approach for large-scale manufacturing of microscopes, specifically demonstrating brightfield, darkfield, and fluorescence microscopes. Merging principles of optical design with origami…

Optics · Physics 2015-06-19 James Cybulski , James Clements , Manu Prakash

The ancient art of origami, traditionally used to transform simple sheets into intricate objects, also holds potential for diverse engineering applications, such as shape morphing and robotics. In this study, we demonstrate that one of the…

Robotics · Computer Science 2024-10-29 Davood Farhadi , Laura Pernigoni , David Melancon , Katia Bertoldi