# ham sandwich theorem

> English word · Proper noun

## Definitions
1. A theorem stating that, given n measurable "objects" in n-dimensional Euclidean space, it is possible to divide all of them in half (with respect to their measure, i.e. volume) with a single (n−1)-dimensional hyperplane.

## Etymology
By analogy with cutting a sandwich having three layers (two of bread and one of ham), for the case where n=3.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/ham-sandwich-theorem