# Parallelogram

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Parallelogram | |
---|---|

Rank | 2 |

Space | Spherical |

Notation | |

Bowers style acronym | Par |

Elements | |

Edges | 2+2 |

Vertices | 2+2 |

Vertex figure | Dyad |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Army | Par |

Regiment | Par |

Dual | Parallelogram |

Conjugate | Parallelogram |

Abstract properties | |

Euler characteristic | 0 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | K2+, order 2 |

Convex | Yes |

Nature | Tame |

The **parallelogram** is a convex quadrilateral with inversion symmetry and two pairs of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Special cases of a parallelogram:

- Rectangle – A parallelogram with four angles of equal size (right angles).
- Rhombus – A parallelogram with four sides of equal length.
- Square – A parallelogram with four sides of equal length and angles of equal size (right angles).

## External links[edit | edit source]

- Bowers, Jonathan. "Regular Polygons and Other Two Dimensional Shapes".