Work

Sharing pizza among a two power number of friends

Year: 2025

Type: article

Abstract: We extend the work of Hirschhorn, Hirschhorn, Hirschhorn, Hirschhorn and Hirschhorn on the problem of sharing pizza among several people.More specifically, we present a class of Coxeter arrangements in an even dimension n such that if one cuts a ball containing the origin with one of these arrangements, the slices can be partitioned into 2 n/2 blocks such that each block has the same volume.

Source: Enumerative Combinatorics and Applications

DOI: 10.54550/eca2025v5s3r23

Authors: Christian Ehrenborg, Didrik Ehrenborg, Michaël Ehrenborg, Richard Ehrenborg

Institution: University of Kentucky

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4413837033

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Related to: 10