Classification of quad-equations on a cuboctahedron
Exactly Solvable and Integrable Systems
2020-11-23 v3 Mathematical Physics
math.MP
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 -functions related to discrete Painlev\'e equations.
Keywords
Cite
@article{arxiv.1906.06650,
title = {Classification of quad-equations on a cuboctahedron},
author = {Nalini Joshi and Nobutaka Nakazono},
journal= {arXiv preprint arXiv:1906.06650},
year = {2020}
}
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97 pages