# cake number

> English word · Noun

## Definitions
1. For some number n, the maximum number of regions into which a cube can be partitioned by exactly n planes.

## Etymology
By analogy with slices being made by a knife through a cube-shaped cake.

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