Classification of Dupin Cyclidic Cubes by Their Singularities
Algebraic Geometry
2025-03-27 v1
Abstract
Triple orthogonal coordinate systems having coordinate lines as circles or straight lines are considered. Technically, they are represented by trilinear rational quaternionic maps and are called Dupin cyclidic cubes, naturally generalizing the bilinear rational quaternionic parametrizations of principal patches of Dupin cyclides. Dupin cyclidic cubes and their singularities are studied and classified up to M\"obius equivalency in Euclidean space.
Keywords
Cite
@article{arxiv.2405.07225,
title = {Classification of Dupin Cyclidic Cubes by Their Singularities},
author = {Jean Michel Menjanahary and Eriola Hoxhaj and Rimvydas Krasauskas},
journal= {arXiv preprint arXiv:2405.07225},
year = {2025}
}
Comments
34 pages, 31 figures