# One-dimensional space

In physics and mathematics, a sequence of n numbers can be understood as a location in n-dimensional space. When n = 1, the set of all such locations is called a one-dimensional space.

## One-dimensional geometry

### Polytopes

The only regular polytope in one dimension is the line segment, with the Schläfli symbol { }.

### Hypersphere

The hypersphere in 1 dimension is a pair of points, sometimes called a 0-sphere as its surface is zero-dimensional. Its length is

$L = 2r$

where $r$ is the radius.

## Coordinate systems in one-dimensional space

Main article: Coordinate system

The most popular coordinate systems are the number line and the angle.