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Related Experiment Video

Updated: Nov 4, 2025

Fabrication of Three-Dimensional Graphene-Based Polyhedrons via Origami-Like Self-Folding

Fabrication of Three-Dimensional Graphene-Based Polyhedrons via Origami-Like Self-Folding

Published on: September 23, 2018

Origami and materials science.

H Liu¹, P Plucinsky², F Feng³

¹Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455, USA.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|May 24, 2021

Summary

This summary is machine-generated.

Origami principles offer novel insights for material design, linking folding rules to microstructures and atomic arrangements. This art inspires new material development through physical scaling laws and group theory.

Keywords:

design of materials isometry groups origami phase transformations quasi-crystals viruses

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Area of Science:

Materials Science
Mathematical Design
Applied Physics

Background:

Origami, the art of paper folding, has demonstrated practical applications across various scientific and engineering fields.
Its principles are increasingly recognized for their potential in advanced material design.

Purpose of the Study:

To survey and highlight the suggestive value of origami principles for the design of novel materials.
To explore the linkages between origami, material microstructure, and atomic structures.

Main Methods:

Analysis of origami construction rules at continuum and atomistic levels.
Investigation of underlying physical scaling laws, isometries, and group theory.
Exploration of non-discrete isometry groups for material design frameworks.

Main Results:

Direct analogues exist between origami construction rules and the analysis of material microstructures.
Crystal, nanostructure, virus, and quasi-crystal structures relate to simplified origami construction methods.
Non-discrete isometry groups present a novel framework for designing advanced materials.

Conclusions:

Origami principles provide a powerful and versatile framework for the mathematical design of complex materials.
The study underscores the interdisciplinary potential of origami in materials science and engineering.