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## Revision as of 22:17, 12 March 2017

A **point** is a location of size zero. This means a point is not a region, but a single location.
It is defined by Euler 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.

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 infinite amount of points placed directly adjacent to each other.

By the same logic, a plane can be thought of as infinity lines being stacked next to each other.

### Hypervolumes

- vertex count = 1

### See also

Zeroth | First | Second | Third | Fourth | Fifth | Sixth | Seventh | Eighth | Ninth | Tenth | Eleventh | Twelfth | Thirteenth | Fourteenth | Fifteenth | Sixteenth | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

Simplex | Point | Line | Triangle | Tetrahedron | Pentachoron | Hexateron | Heptapeton | Octaexon | Enneazetton | Decayotton | Hendecaxennon | Dodecadakon | Tredecahendakon | Quattuordecadokon | Quindecatradakon | Sexdecateradakon | Septendecapetadakon |

Hypercube | Point | Line | Square | Cube | Tesseract | Penteract | Hexeract | Hepteract | Octeract | Enneract | Dekeract | Undekeract | Dodekeract | Tredekeract | Quattuordekeract | Quindekeract | Sexdekeract |

Cross | Point | Line | Square | Octahedron | Hexadecachoron | Pentarss | Hexarss | Heptarss | Octarss | Ennearss | Decarss | Hendecarss | Dodecarss | Tredecarss | Quattuordecarss | Quindecatrarss | Sexdecaterarss |

Hypersphere | Point | Line | Circle | Sphere | Glome | Hyperglome | Hexaphere | Heptaphere | Octaphere | Enneaphere | Decaphere | Hendecaphere | Dodecaphere | Tredecaphere | Quattuordecaphere | Quindecatraphere | Sexdecateraphere |

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