## FANDOM

1,122 Pages

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.

## Notations

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

## Related shapes

Dimensionality Negative One Zero One Two Three Four Five Six Seven Eight Nine Ten Eleven Twelve Thirteen Fourteen Fifteen Sixteen ... Aleph null
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

$\{3^9\}$

$\{3^{10}\}$

Tridecahendon

$\{3^{11}\}$

$\{3^{12}\}$

$\{3^{13}\}$

$\{3^{14}\}$

$\{3^{15}\}$

... Omegasimplex
Cross

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

Square

$\{4\}$

Octahedron

$\{3, 4\}$

$\{3^2, 4\}$

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

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

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

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

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

... Omegacross
Hydrotopes

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

Pentagon

$\{5\}$

Icosahedron

$\{3, 5\}$

Hexacosichoron

$\{3^2, 5\}$

Order-5 pentachoric tetracomb

$\{3^3, 5\}$

Order-5 hexateric pentacomb

$\{3^4, 5\}$

...
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

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

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

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

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

... Omegeract
Cosmotopes

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

Pentagon

$\{5\}$

Dodecahedron

$\{5, 3\}$

Hecatonicosachoron

$\{5, 3^2\}$

Order-3 hecatonicosachoric tetracomb

$\{5, 3^3\}$

Order-3-3 hecatonicosachoric pentacomb

$\{5, 3^4\}$

...
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

$\mathbb B^{13}$

$\mathbb B^{14}$

$\mathbb B^{15}$

$\mathbb B^{16}$

... Omegaball

$\mathbb B^{\aleph_0}$

Dimensionality Negative One Zero One Two Three Four Five Six Seven Eight Nine Ten ... Aleph null
Hyperbolic space

$\mathbb H^{n}$

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 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 omegealm

$\mathbb R^{\aleph_0}$

Hypersphere

$\mathbb S^{n}$

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

$\mathbb S^{10}$

... Omegasphere

$\mathbb S^{\aleph_0}$

Community content is available under CC-BY-SA unless otherwise noted.