Sharing Pizza Among a Two Power Number of Friends

Authors

• Christian Ehrenborg, Saltsjö DuvnäsFollow
• Didrik EhrenborgFollow
• Michaël EhrenborgFollow
• Richard Ehrenborg, University of KentuckyFollow

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.

Document Type

Article

Publication Date

1-1-2025

Notes/Citation Information

Publisher Copyright: © 2025, University of Haifa Department of Mathematics. All rights reserved.

Digital Object Identifier (DOI)

10.54550/ECA2025V5S3R23

Archival?

Archival

Repository Citation

Ehrenborg, Christian; Ehrenborg, Didrik; Ehrenborg, Michaël; and Ehrenborg, Richard, "Sharing Pizza Among a Two Power Number of Friends" (2025). Mathematics Faculty Publications. 66.
https://uknowledge.uky.edu/math_facpub/66