The applicability of equal area partitions of the unit sphere

TL;DR

This paper evaluates the practical usefulness of a mathematical method that partitions the unit sphere into equal-area regions by analyzing how it has been cited and applied in various academic works.

Contribution

It provides an assessment of the applicability of equal area partitions of the sphere through analysis of citations and implementations in existing literature.

Findings

The software package is used in multiple research projects.

Equal area partitions are applicable in various scientific fields.

The paper identifies limitations and potential improvements.

Abstract

This paper addresses the idea of the applicability of mathematics, using, as a case study, a construction and software package that partition the unit sphere into regions of equal area. The paper assesses the applicability of this construction and software by examining citing works, including papers, dissertations and software.