Explicit kinematic equations for degree-4 rigid origami vertices, Euclidean and non-Euclidean

Autor: Foschi, Riccardo, Hull, Thomas C., Ku, Jason S.
Rok vydání: 2022
Předmět:
Zdroj: Physical Review E, Vol. 106, 2022, 055001
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevE.106.055001
Popis: We derive new algebraic equations for the folding angle relationships in completely general degree-four rigid-foldable origami vertices, including both Euclidean (developable) and non-Euclidean cases. These equations in turn lead to novel, elegant equations for the general developable degree-four case. We compare our equations to previous results in the literature and provide two examples of how the equations can be used: In analyzing a family of square twist pouches with discrete configuration spaces, and for proving that a new folding table design made with hyperbolic vertices has a single folding mode.
Databáze: arXiv