Helly's Theorem--A Very Early Introduction

TL;DR

This paper introduces an accessible interpretation of Helly's theorem suitable for undergraduates, linking it to modern data privacy and sampling methods in epidemiology.

Contribution

It presents a beginner-friendly approach to Helly's theorem that connects classical geometry with contemporary data privacy and sampling techniques.

Findings

Accessible interpretation of Helly's theorem for undergraduates

Connection between Helly's theorem and data privacy models

Relevance to sampling methods in epidemiology

Abstract

We propose an interpretation of, and approach to, Helly's theorem that can be included quite early in the undergraduate curriculum. At the same time, the approach connects with contemporary models of data privacy and with sampling methods used in epidemiology. The presentation is intended to be accessible to teachers and their students.