# Deltoidal hexecontahedral tegum

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Deltoidal hexecontahedral tegum | |
---|---|

Rank | 4 |

Type | Uniform dual |

Space | Spherical |

Notation | |

Coxeter diagram | m2m5o3m |

Elements | |

Cells | 120 kite pyramids |

Faces | 120+120 scalene triangles, 60 kites |

Edges | 24+40+60+60+60+60 |

Vertices | 2+12+20+30 |

Vertex figure | 2 edltoidal hexecontahedra, 12 pentagonal tegums, 20 triangular tegums, 30 octahedra |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Small rhombicosidodecahedral prism |

Conjugate | Great deltoidal hexecontahedral tegum |

Abstract properties | |

Euler characteristic | 0 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | H3×A1, order 240 |

Convex | Yes |

Nature | Tame |

The **deltoidal hexecontahedral tegum**, also called the **deltoidal hexecontahedral bipyramid**, is a convex isochoric polychoron with 120 kite pyramids as cells. As the name suggests, it can be constructed as a tegum based on the deltoidal hexecontahedron.

In the variant obtained as the dua; of the uniform small rhombicosidodecahedral prism, if the short edges of the deltoidal hexecontahedron have length 1, its height is .