# Rhombic triacontahedral tegum

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Rhombic triacontahedral tegum | |
---|---|

Rank | 4 |

Type | Uniform dual |

Notation | |

Coxeter diagram | m2o5m3o () |

Elements | |

Cells | 60 rhombic pyramids |

Faces | 120 scalene triangles, 30 golden rhombi |

Edges | 24+40+60 |

Vertices | 2+12+20 |

Vertex figure | 2 rhombic triacontahedra, 12 pentagonal tegums, 20 triangular tegums |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Icosidodecahedral prism |

Conjugate | Great rhombic triacontahedral tegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H3×A1, order 240 |

Convex | Yes |

Nature | Tame |

The **rhombic triacontahedral tegum**, also called the **rhombic triacontahedral bipyramid**, is a convex isochoric polychoron with 60 rhombic pyramids as cells. As the name suggests, it can be constructed as a tegum based on the rhombic triacontahedron.

In the variant obtained as the dual of the uniform icosidodecahedral prism, the height from the top to the bottom edges is times the edge length of the base rhombic triacontahedron.