# Deltoidal icositetrahedral tegum

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Deltoidal icositetrahedral tegum | |
---|---|

Rank | 4 |

Type | Uniform dual |

Space | Spherical |

Notation | |

Coxeter diagram | m2m4o3m |

Elements | |

Cells | 48 kite pyramids |

Faces | 48+48 scalene triangles, 24 kites |

Edges | 12+16+24+24+24 |

Vertices | 2+6+8+12 |

Vertex figure | 2 deltoidal icositetrahedra, 6+12 octahedra, 8 triangular tegums |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Small rhombicuboctahedral prism |

Conjugate | Great deltoidal icositetrahedral tegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | B_{3}×A_{1}, order 96 |

Convex | Yes |

Nature | Tame |

The **deltoidal icositetrahedral tegum**, also called the **deltoidal icositetrahedral bipyramid**, is a convex isochoric polychoron with 48 kite pyramids as cells. As the name suggests, it can be constructed as a tegum based on the deltoidal icositetrahedron.

In the variant obtained as the dual of the uniform small rhombicuboctahedral prism, if the short edges of the deltoidal icositetrahedron have length 1, its height is .