Work

Neighbors

Year: 2022

Type: preprint

Abstract: Two members of a packing are neighbors if they have a common boundary point. A multitude of problems arises in connection with neighbors in a packing. The oldest one concerns a dispute between Newton and Gregory about the maximum number of neighbors a member can have in a packing of congruent balls. Other problems ask for the average number of neighbors or the maximum number of mutually neighboring members in a packing. The present work gives a survey of these problems.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2202.10822

Authors: Tóth, Gábor Fejes, Tóth, Lázló Fejes, Kuperberg, Włodzimierz

Institutions: HUN-REN Alfréd Rényi Institute of Mathematics, Auburn University

Language: English

Topic: Point processes and geometric inequalities

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4291330914

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