Folding of quadrilaterals, zigzags, and Arnold-Liouville integrability
Exactly Solvable and Integrable Systems
2025-08-20 v1 Metric Geometry
Symplectic Geometry
Abstract
We put Darboux's porism on folding of quadrilaterals, as well as closely related Bottema's zigzag porism, in the context of Arnold-Liouville integrability.
Keywords
Cite
@article{arxiv.2507.17549,
title = {Folding of quadrilaterals, zigzags, and Arnold-Liouville integrability},
author = {Anton Izosimov},
journal= {arXiv preprint arXiv:2507.17549},
year = {2025}
}
Comments
5 pages, 7 figures, accepted to Arnold Mathematical Journal