---
tag: PK5WXS96K7
kind: concept
name: Plane partition
aliases: [macmahon-function, planar-partition, planar-partitions]
sources:
  - wikipedia: en:2933308@r1352601219
    locator: Plane partition
    note: adopted
    mention: wikipedia://en/2933308
    sections: [Summary]
same_as:
  wikidata: Q7201015
  wikipedia: Plane partition
inventory: [VHPQFRMMJW]
---

## Summary

In mathematics and especially in [[combinatorics|0JKW7W7XFR]], a **plane partition** is a two-dimensional array of nonnegative integers $\pi_{i,j}$ (with positive [[integer|0C4JS9RF5M]] indices *i* and *j*) that is nonincreasing in both indices. This means that