Verse and Dimensions Wikia
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Verse and Dimensions Wikia


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

Subfacets

Radii

  • 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

See also

First Dimension

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

Dodecadakon

Tridecahendon

Tetradecadokon

Pentadecatradakon

Hexadecatedakon

Heptadecapedakon

... Omegasimplex
Cross

Square

Octahedron

Hexadecachoron

Pentacross

Hexacross

Heptacross

Octacross

Enneacross

Dekacross

Hendekacross

Dodekacross

Tridekacross

Tetradekacross

Pentadekacross

Hexadekacross

... 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

Tetradekeract

Pentadekeract

Hexadekeract

... 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

Tetradekorb

Pentadekorb

Hexadekorb

... Omegaball

Line segment Tricomtelon Tetracomtelon Pentacomtelon Hexacomtelon
Zeroth First Second Third Fourth Fifth
Cosmotopes Point Line segment Pentagon Dodecahedron Hecatonicosachoron Order-3 hecatonicosachoric honeycomb
Hydrotopes Point Line segment Pentagon Icosahedron Hexacosichoron Order-5 pentachoric honeycomb
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