Folding of quadrilaterals, zigzags, and Arnold-Liouville integrability

2025/07/23 by Izosimov, Anton
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Metric Geometry (math.MG) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2507.17549

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.

Citations

• Random dynamics on real and complex projective surfaces
• Deformation of quadrilaterals and addition on elliptic curves

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