A line segment, also known as an interval or closed interval, is 2 connected points.

It can be considered as being the solid interior of the 0-dimensional hypersphere, the point pair.

A circle can be made by rotating a line segment around the middle axis.

People often refer to it as a line. A proper line has infinite length. They refer to a line segment when they mean line.

A line segment is actually made of an infinite number of points as the line connecting the two points is made up of an infinite number of points.

### Symbols

The line segment can be given a symbol in two ways:

• x - two equivalent vertices
• oo&#x - two distinct vertices

### Hypervolumes

• vertex count = • edge length = ### Subfacets

• Vertex radius: ### Equations

All points on the surface of a line, a point pair can be given by the equation where l is the length of the line segment.

### Vertex coordinates

A line segment of length 2 has the vertex coordinates (±1).

### Notations

• Toratopic notation: • Tapertopic notation: ### Related shapes

• Dual: self dual
• Vertex figure: Point

Dimensionality Negative One Zero One Two Three Four Five Six Seven Eight Nine Ten Eleven Twelve Thirteen Fourteen Fifteen Sixteen ... Aleph null
Simplex Null polytope  Point  Line segment  Triangle Tetrahedron Pentachoron Hexateron Heptapeton Octaexon Enneazetton Decayotton Hendecaxennon  Tridecahendon     ... Omegasimplex
Cross Square Octahedron  Pentacross Hexacross Heptacross Octacross Enneacross Dekacross Hendekacross Dodekacross Tridekacross    ... Omegacross
Hydrotopes Pentagon Icosahedron Hexacosichoron Order-5 pentachoric tetracomb Order-5 hexateric pentacomb ...
Hypercube Square Cube Tesseract Penteract Hexeract Hepteract Octeract Enneract Dekeract Hendekeract Dodekeract Tridekeract    ... Omegeract
Cosmotopes Pentagon Dodecahedron Hecatonicosachoron Order-3 hecatonicosachoric tetracomb Order-3-3 hecatonicosachoric pentacomb ...
Hyperball Disk Ball Gongol Pentorb Hexorb Heptorb Octorb Enneorb Dekorb Hendekorb Dodekorb Tridekorb          