# Disphenoidal triacontachoron

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Disphenoidal triacontachoron | |
---|---|

Rank | 4 |

Type | Isotopic |

Elements | |

Cells | 30 digonal disphenoids |

Faces | 30+30 isosceles triangles |

Edges | 10+10+20 |

Vertices | 5+5 |

Vertex figure | 5+5 triakis tetrahedra |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Pentapentachoron |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | A4, order 120 |

Convex | Yes |

Nature | Tame |

The **disphenoidal triacontachoron** is a convex isochoric polychoron with 30 digonal disphenoids as cells. It is a variant of the bidecachoron with single pentachoric symmetry.

It can also be formed as the convex hull of two dually oriented pentachora where the larger one has edges less than times the length of those of the smaller one.