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 | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Simplex | Point | Line | Triangle | Tetrahedron | Pentachoron | Hexateron | Heptapeton | Octaexon | Enneazetton | Decayotton | Hendecaxennon |
| Hypercube | Point | Line | Square | Cube | Tesseract | Penteract | Hexeract | Hepteract | Octeract | Enneract | Dekeract |
| Cross | Point | Line | Square | Octahedron | Hexadecachoron | Pentarss | Hexarss | Heptarss | Octarss | Ennearss | Decarss |
| Hypersphere | Point | Line | Circle | Sphere | Glome | Hyperglome | Hexaphere | Heptaphere | Octaphere | Enneaphere | Decaphere |