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Updated: Mar 12, 2026

Origami Inspired Self-assembly of Patterned and Reconfigurable Particles
Published on: February 4, 2013
One-DOF Superimposed Rigid Origami with Multiple States
Xiang Liu1, Joseph M Gattas2, Yan Chen1,3
1School of Mechanical Engineering, Tianjin University, Tianjin 300072, China.
This study introduces a novel origami engineering method using superimposed crease patterns for independent folding. This innovation enables new designs for compact, multi-state self-folding structures.
Area of Science:
- Engineering
- Materials Science
- Robotics
Background:
- Origami-inspired engineering is crucial for developing advanced self-folding structures.
- Current methods often rely on single-structure bespoke patterns or complex universal patterns.
- A need exists for more versatile and controllable self-folding mechanisms.
Purpose of the Study:
- To present a new approach for superimposing multiple distinct, rigid-foldable origami crease patterns onto a single sheet.
- To demonstrate the kinematic independence and single degree-of-freedom (1-DOF) mobility of each superimposed pattern.
- To explore novel engineering design possibilities enabled by this technique.
Main Methods:
- Introduction of the 'cross-crease vertex' configuration.
- Kinematic analysis to prove the existence of two independent 1-DOF rigid-foldable states within the cross-crease vertex.
- Superimposition of multiple distinct crease patterns on a single sheet while preserving kinematic independence.
Main Results:
- Demonstrated that the cross-crease vertex enables two independent 1-DOF rigid-foldable states.
- Successfully superimposed multiple distinct crease patterns on one sheet, maintaining individual kinematic control.
- Enabled compact folding of non-flat-foldable structures and sequent folding origami.
Conclusions:
- The proposed method significantly expands the design space for origami-inspired engineering.
- This approach facilitates the creation of complex self-folding structures with sequential and independent folding capabilities.
- The findings pave the way for advanced applications in robotics, deployable structures, and adaptive materials.
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