The cuspidal cubic and line arrangements with only triple points

TL;DR

This paper introduces an infinite family of line arrangements in the projective plane featuring only triple point singularities, expanding the known examples and providing new insights into their geometric structure.

Contribution

It describes a new infinite family of line arrangements with only triple points and recovers previously known examples, advancing the understanding of such configurations.

Findings

Introduction of a new infinite family of arrangements

Recovery of known examples within this family

Enhanced understanding of triple point line arrangements

Abstract

We describe a new infinite family of line arrangements in the projective plane with only triple points singularities and recover previously known examples.