# Rhombus

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Rhombus | |
---|---|

Rank | 2 |

Type | Isotopic |

Space | Spherical |

Bowers style acronym | Rhomb |

Info | |

Symmetry | A1×A1, order 4 |

Army | Rhomb |

Regiment | Rhomb |

Elements | |

Vertex figure | Dyad |

Edges | 4 |

Vertices | 2+2 |

Measures (edge length 1, angle α) | |

Inradius | |

Area | |

Angles | Acute: |

Obtuse: | |

Height | |

Central density | 1 |

Euler characteristic | 0 |

Related polytopes | |

Dual | Rectangle |

Conjugate | Rhombus |

Properties | |

Convex | Yes |

Orientable | Yes |

Nature | Tame |

The **rhombus**, or **rhomb**, is a quadrilateral with all four edges of the same length. It has two different angles, and its diagonals are always at right angles. It is a special case of a parallelogram.

The two angles of a rhombus add up to 180°, and one is always acute, the other is obtuse. Rhombi occur as faces in two of the Catalan solids, namely the rhombic dodecahedron and rhombic triacontahedron.

A rhombus can be considered to be the tegum product of two dyads of different lengths. These two dyads then form the two diagonals of the rhombus.

## External links[edit | edit source]

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