An Exposition of White's Characterization of Empty Lattice Tetrahedra

TL;DR

This paper explains White's theorem on the classification of empty lattice tetrahedra, including a detailed proof from the second author's doctoral thesis, clarifying the mathematical structure of these geometric objects.

Contribution

It provides a comprehensive exposition and proof of White's characterization of empty lattice tetrahedra, enhancing understanding of this geometric classification.

Findings

White's theorem precisely characterizes empty lattice tetrahedra.

The paper includes a detailed proof from the second author's doctoral thesis.

Clarifies the structure and properties of empty lattice tetrahedra.

Abstract

We give an exposition of White's characterization of empty lattice tetrahedra. In particular, we describe the second author's proof of White's theorem that appeared in her doctoral thesis.