# Rhombic pyramid

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Rhombic pyramid | |
---|---|

Rank | 3 |

Elements | |

Faces | 4 scalene triangles, 1 rhombus |

Edges | 2+2+4 |

Vertices | 1+2+2 |

Vertex figure | 1 rhombus, 2+2 scalene triangles |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Rectangular pyramid |

Conjugate | Rhombic pyramid |

Abstract & topological properties | |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | K_{2}×I, order 4 |

Flag orbits | 8 |

Convex | Yes |

Nature | Tame |

A **rhombic pyramid** is a pyramid based on a rhombus. It has 1 rhombus base and 4 identical scalene triangles as faces.

Rhombic pyramids occur as the cells of duals of some prismatic uniform polychora, particularly ones that are prisms of polyhedra with rectangular vertex figures, since the rectangle is the dual of the rhombus.

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