# Definition:Stellation/Polygon

< Definition:Stellation(Redirected from Definition:Stellated Polygon)

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## Definition

A **stellation** of a polygon $P$ is a plane figure formed by extending the sides of $P$ until they meet.

The usual context for such a **stellation** is of a regular polygon such that the extended sides meet symmetrically.

A **stellated polygon** with $n$ sides can be referred to as a **stellated $n$-gon**.

### Regular Stellated Polygon

A **regular stellated polygon** is a stellated polygon which is both equilateral and equiangular.

That is, in which all the sides are the same length, and all the vertices have the same angle:

## Linguistic Note

The word **stellation** derives from the Latin **stellātus**, meaning **starred**, which in turn comes from the Latin **stella**, meaning **star**.

## Sources

- 1971: George E. Andrews:
*Number Theory*... (previous) ... (next): $\text {3-3}$ Wilson's Theorem: Theorem $\text {3-5}$