Classification of quad-equations on a cuboctahedron

2019/06/16 by Joshi, Nalini, Nakazono, Nobutaka
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1906.06650

Abstract

In this paper, we consider polynomials associated with faces and internal quadrilaterals of a cuboctahedron and classify them under the requirement that they are consistent. These polynomials give rise to a system of partial difference equations on a face-centred cubic lattice. Our results were motivated by τ-functions related to discrete Painlevé equations.

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