Hexagonal 3-webs of circles with polar twisted cubic

TL;DR

This paper classifies hexagonal 3-webs of circles on the sphere where the polar points form a twisted cubic, completing the understanding of webs with algebraic polar curves of degree three.

Contribution

It provides a complete classification of such webs, extending previous work on webs with algebraic polar curves.

Findings

Classification of hexagonal circular 3-webs with polar points on a twisted cubic

Identification of geometric conditions for webs with degree three polar curves

Completion of the classification for webs with algebraic polar curves of degree three

Abstract

The paper describes and classifies hexagonal circular 3-webs on unit sphere such that the polar points of the web circles lie on a twisted cubic, thus completing classification of hexagonal circular 3-webs with algebraic polar curves of degree three.