English

Zone Theorem for Arrangements in three dimensions

Computational Geometry 2025-02-17 v2 Data Structures and Algorithms Combinatorics

Abstract

In this note, a simple description of zone theorem in three dimensions is given.Arrangements in three dimensions are useful for constructing higher-order Voronoi diagrams in plane. An elementary and very intuitive treatment of this result is also given.

Cite

@article{arxiv.2006.01428,
  title  = {Zone Theorem for Arrangements in three dimensions},
  author = {Sanjeev Saxena},
  journal= {arXiv preprint arXiv:2006.01428},
  year   = {2025}
}

Comments

corrected error and added a new section

R2 v1 2026-06-23T15:59:03.886Z