A toy-inspired kirigami pattern and its kinematic performance by applying mechanisms and machine theory

TLDR

Using theoretical kinematics to systematically analyse an inverse folding problem of a toy about how to fold a piece of paper into a disc through a smaller hole without breaking it shows that some four-crease and six- Crease patterns can achieve the expected function, and they can be easily folded with 1 degree of freedom.

Abstract

Abstract. Origami that can form various shapes by setting simple

creases on the paper and folding along these creases has a lot of

applications from the fields of art to engineering. The inverse problem of

origami that determines the distribution of creases based on the desired

shape is very complicated. In this paper, we use theoretical kinematics to

systematically analyse an inverse folding problem of a toy about how to fold

a piece of paper into a disc through a smaller hole without breaking it. The

results show that some four-crease and six-crease patterns can achieve the

expected function, and they can be easily folded with 1 degree of freedom

(DOF). It not only opens up a new way to solve the inverse folding problem

but also helps students to understand mechanisms and machine theory.