# Triangular-disdyakis dodecahedral duotegum

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Triangular-disdyakis dodecahedral duotegum | |
---|---|

Rank | 5 |

Type | Uniform dual |

Notation | |

Coxeter diagram | m3o2m4m3m () |

Elements | |

Tera | 144 mirror-symmetric pentachora |

Cells | 72+72+72 sphenoids, 144 irregular tetrahedra |

Faces | 18+24+36 isosceles triangles, 48+72+72+72 scalene triangles |

Edges | 3+18+24+24+24+24+36 |

Vertices | 3+6+8+12 |

Vertex figure | 3 disdyakis dodecahedral tegums, 6 triangular-octagonal duotegums, 8 triangular-hexagonal duotegums, 12 triangular-square duotegums |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Triangular-great rhombicuboctahedral duoprism |

Abstract & topological properties | |

Flag count | 17280 |

Euler characteristic | 2 |

Orientable | Yes |

Properties | |

Symmetry | B_{3}×A_{2}, order 288 |

Convex | Yes |

Nature | Tame |

The **triangular-disdyakis dodecahedral duotegum** is an isoteric duotegum that consists of 144 mirror-symmetric pentachora and 29 vertices.