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A point is a position, with a size equal to 0. This does not mean an entire region however. It is defined by Euclid as "that which has no part", which is an apt description - a point has no height, width, depth, or any other measure in any other dimension.

Furthermore, a point can also be thought of as a 'dimensionless' coordinate, meaning a coordinate without a definite numerical or algebraic value.

It is also the only zero dimensional shape, and any zero- dimensional space consists of a single point and nothing else. This means that it can be considered as a zero-dimensional space of infinite extent, in analogue with the plane.

A line can be thought of as consisting of an uncountably infinite amount of points placed directly adjacent to each other in the same direction.

Likewise, a plane can be thought of as consisting of an infinite amount of parallel lines that are infinitely close.

The point represents the idea of unity in many religions and ethnic groups.

Structure and Sections

Hypervolumes

Subfacets

  • 1 point (0D)

Notations

  • Toratopic notation:$ . $
  • Tapertopic notation: 0

Related shapes

See also

Dimensionality Negative First Zeroth First Second Third Fourth Fifth Sixth Seventh Eighth Ninth Tenth Eleventh Twelfth Thirteenth Fourteenth Fifteenth Sixteenth ... Omegath
Simplex

$ \{3^{n-1}\} $

Null polytope

$ \emptyset $

Point

$ () $
$ \mathbb{B}^0 $

Line segment

$ \{\} $
$ \mathbb{B}^1 $

Triangle

$ \{3\} $

Tetrahedron

$ \{3^2\} $

Pentachoron

$ \{3^3\} $

Hexateron

$ \{3^4\} $

Heptapeton

$ \{3^5\} $

Octaexon

$ \{3^6\} $

Enneazetton

$ \{3^7\} $

Decayotton

$ \{3^8\} $

Hendecaxennon

$ \{3^9\} $

Dodecadakon

$ \{3^{10}\} $

Tridecahendon

$ \{3^{11}\} $

Tetradecadokon

$ \{3^{12}\} $

Pentadecatradakon

$ \{3^{13}\} $

Hexadecatedakon

$ \{3^{14}\} $

Heptadecapedakon

$ \{3^{15}\} $

... Omegasimplex

$ \{3^{\aleph_0}\} $

Cross

$ \{3^{n-2},4\} $

Square

$ \{4\} $

Octahedron

$ \{3, 4\} $

Hexadecachoron

$ \{3^2, 4\} $

Pentacross

$ \{3^3, 4\} $

Hexacross

$ \{3^4, 4\} $

Heptacross

$ \{3^5, 4\} $

Octacross

$ \{3^6, 4\} $

Enneacross

$ \{3^7, 4\} $

Dekacross

$ \{3^8, 4\} $

Hendekacross

$ \{3^9, 4\} $

Dodekacross

$ \{3^{10}, 4\} $

Tridekacross

$ \{3^{11}, 4\} $

Tetradekacross

$ \{3^{12}, 4\} $

Pentadekacross

$ \{3^{13}, 4\} $

Hexadekacross

$ \{3^{14}, 4\} $

... Omegacross

$ \{3^{\aleph_0}, 4\} $

Hydrotopes

$ \{3^{n-2}, 5\} $

Pentagon

$ \{5\} $

Icosahedron

$ \{3, 5\} $

Hexacosichoron

$ \{3^2, 5\} $

Order-5 pentachoric tetracomb

$ \{3^3, 5\} $

Hypercube

$ \{4, 3^{n-2}\} $

Square

$ \{4\} $

Cube

$ \{4, 3\} $

Tesseract

$ \{4, 3^2\} $

Penteract

$ \{4, 3^3\} $

Hexeract

$ \{4, 3^4\} $

Hepteract

$ \{4, 3^5\} $

Octeract

$ \{4, 3^6\} $

Enneract

$ \{4, 3^7\} $

Dekeract

$ \{4, 3^8\} $

Hendekeract

$ \{4, 3^9\} $

Dodekeract

$ \{4, 3^{10}\} $

Tridekeract

$ \{4, 3^{11}\} $

Tetradekeract

$ \{4, 3^{12}\} $

Pentadekeract

$ \{4, 3^{13}\} $

Hexadekeract

$ \{4, 3^{14}\} $

... Omegeract

$ \{4, 3^{\aleph_0}\} $

Cosmotopes

$ \{5, 3^{n-2}\} $

Pentagon

$ \{5\} $

Dodecahedron

$ \{5, 3\} $

Hecatonicosachoron

$ \{5, 3^2\} $

Order-3 hecatonicosachoric tetracomb

$ \{5, 3^3\} $

Hyperball

$ \mathbb B^n $

Disk

$ \mathbb B^2 $

Ball

$ \mathbb B^3 $

Gongol

$ \mathbb B^4 $

Pentorb

$ \mathbb B^5 $

Hexorb

$ \mathbb B^6 $

Heptorb

$ \mathbb B^7 $

Octorb

$ \mathbb B^8 $

Enneorb

$ \mathbb B^9 $

Dekorb

$ \mathbb B^{10} $

Hendekorb

$ \mathbb B^{11} $

Dodekorb

$ \mathbb B^{12} $

Tridekorb

$ \mathbb B^{13} $

Tetradekorb

$ \mathbb B^{14} $

Pentadekorb

$ \mathbb B^{15} $

Hexadekorb

$ \mathbb B^{16} $

... Omegaball

$ \mathbb B^{\aleph_0} $

Dimensionality Negative First Zeroth First Second Third Fourth Fifth Sixth Seventh Eighth Ninth Tenth Eleventh Twelfth Thirteenth Fourteenth Fifteenth Sixteenth ... Omegath
Hyperbolic space

$ \mathbb H^{n} $

Null polytope

$ \emptyset $

Point

$ \mathbb H^{0} $

Hyperbola

$ \mathbb H^{1} $

Hyperbolic plane

$ \mathbb H^{2} $

Hyperbolic realm

$ \mathbb H^{3} $

Hyperbolic flune

$ \mathbb H^{4} $

Hyperbolic pentrealm

$ \mathbb H^{5} $

Hyperbolic hexealm

$ \mathbb H^{6} $

Hyperbolic heptealm

$ \mathbb H^{7} $

Hyperbolic octealm

$ \mathbb H^{8} $

Hyperbolic ennealm

$ \mathbb H^{9} $

Hyperbolic decealm

$ \mathbb H^{10} $

Hyperbolic hendecealm

$ \mathbb H^{11} $

Hyperbolic dodecealm

$ \mathbb H^{12} $

Hyperbolic tridecealm

$ \mathbb H^{13} $

Hyperbolic tetradecealm

$ \mathbb H^{14} $

Hyperbolic pentadecealm

$ \mathbb H^{15} $

Hyperbolic hexadecealm

$ \mathbb H^{16} $

... Hyperbolic omegealm

$ \mathbb H^{\aleph_0} $

Euclidean space

$ \mathbb R^{n} $

Null polytope

$ \emptyset $

Point

$ \mathbb R^{0} $

Euclidean line

$ \mathbb R^{1} $

Euclidean plane

$ \mathbb R^{2} $

Euclidean realm

$ \mathbb R^{3} $

Euclidean flune

$ \mathbb R^{4} $

Euclidean pentrealm

$ \mathbb R^{5} $

Euclidean hexealm

$ \mathbb R^{6} $

Euclidean heptealm

$ \mathbb R^{7} $

Euclidean octealm

$ \mathbb R^{8} $

Euclidean ennealm

$ \mathbb R^{9} $

Euclidean decealm

$ \mathbb R^{10} $

Euclidean hendecealmverse

$ \mathbb R^{11} $

Euclidean dodecealmverse

$ \mathbb R^{12} $

Euclidean tridecealm

$ \mathbb R^{13} $

Euclidean tetradecealm

$ \mathbb R^{14} $

Euclidean pentadecealm

$ \mathbb R^{15} $

Euclidean hexadecealm

$ \mathbb R^{16} $

... Euclidean omegealm

$ \mathbb R^{\aleph_0} $

Hypersphere

$ \mathbb S^{n} $

Null polytope

$ \emptyset $

Point pair

$ \mathbb S^{0} $

Circle

$ \mathbb S^{1} $

Sphere

$ \mathbb S^{2} $

Glome

$ \mathbb S^{3} $

Tetrasphere

$ \mathbb S^{4} $

Pentasphere

$ \mathbb S^{5} $

Hexasphere

$ \mathbb S^{6} $

Heptasphere

$ \mathbb S^{7} $

Octasphere

$ \mathbb S^{8} $

Enneasphere

$ \mathbb S^{9} $

Dekasphere

$ \mathbb S^{10} $

Hendekasphere

$ \mathbb S^{11} $

Dodekasphere

$ \mathbb S^{12} $

Tridekasphere

$ \mathbb S^{13} $

Tetradekasphere

$ \mathbb S^{14} $

Pentadekasphere

$ \mathbb S^{15} $

Hexadekasphere

$ \mathbb S^{16} $

... Omegasphere

$ \mathbb S^{\aleph_0} $