# Semistellated triacontaditeron

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Semistellated triacontaditeron | |
---|---|

Rank | 5 |

Type | Uniform dual |

Notation | |

Coxeter diagram | m3o3o3o *b3o () |

Elements | |

Tera | 16 joined pentachora |

Cells | 80 triangular tegums |

Faces | 160 isosceles triangles |

Edges | 40+80 |

Vertices | 10+16 |

Vertex figure | 10 tesseracts, 16 pentachora |

Measures (edge length 1) | |

Diteral angle | |

Central density | 1 |

Related polytopes | |

Dual | Demipenteract |

Abstract & topological properties | |

Euler characteristic | 2 |

Orientable | Yes |

Properties | |

Symmetry | D5, order 1920 |

Convex | Yes |

Nature | Tame |

The **semistellated triacontaditeron**, also known as the **digonal-tetrahedral duoantitegum**, is a convex isoteric polyteron with 16 identical joined pentachora as facets. It can be obtained as the dual of the demipenteract.

It can also be seen as the convex hull of a triacontaditeron and a demipenteract in common D5 symmetry. If the triacontaditeron has edge length 1, the demipenteract has edge length .

The ratio between the longest and shortest edges is 1:1.5.