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arXiv · 1906.06650

Classification of quad-equations on a cuboctahedron

Nalini Joshi·Nobutaka Nakazono
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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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Nalini Joshi, Nobutaka Nakazono. 2020-11-20. Classification of quad-equations on a cuboctahedron. https://arxiv.org/abs/1906.06650

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