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math.CO2025
The dimer model and dynamical incidence geometry
Anton Izosimov, Pavlo Pylyavskyy
We propose a geometric counterpart of the dimer model on bipartite graphs. A state of our model consists of a choice of a point for each white vertex and hyperplane for each black…
nlin.SI2025
Folding of quadrilaterals, zigzags, and Arnold-Liouville integrability
Anton Izosimov
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.