# Definition:Lattice Point

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## Definition

Let $\CC$ be a cartesian coordinate system of $n$ dimensions.

Let $P = \tuple {a_1, a_2, \ldots, a_n}$ be a point in $\CC$.

Then $P$ is a **lattice point** of $\CC$ if and only if $a_1, a_2, \ldots, a_n$ are all integers.

### Rational Lattice Point

$P$ is a **rational lattice point** of $\CC$ if and only if $a_1, a_2, \ldots, a_n$ are all rational numbers.

## Also known as

A **lattice point** can also be referred to as an **integral point**.

## Also see

- Results about
**lattice points**can be found**here**.