# Point

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Point | |
---|---|

Rank | 0 |

Type | Regular |

Space | Spherical |

Bowers style acronym | Point |

Info | |

Coxeter diagram | o |

Symmetry | A0, order 1 |

Army | Point |

Vertex figure | Nullitope |

Central density | 1 |

Euler characteristic | 0 |

Number of pieces | 1 |

Level of complexity | 1 |

Related polytopes | |

Dual | Point |

Conjugate | Point |

Properties | |

Convex | Yes |

Orientable | Yes |

Nature | Tame |

The **point** (also called **monad** or **monon**^{[1]}). is the only possible 0-polytope. If the nullitope is not considered, this is the simplest possible polytope overall, as it has no other lower-dimensional elements. It appears as the vertices in all higher polytopes.

## Vertex coordinates[edit | edit source]

Coordinates for a point are simply:

- ().

## References[edit | edit source]

- ↑ Inchbald, Guy. http://www.steelpillow.com/polyhedra/ditela.html

## External links[edit | edit source]

- Bowers, Jonathan. "Zero Dimensional Shapes".

- Wikipedia Contributors. "Point (geometry)".