# 34-13 gyrochoron

The **34-13 gyrochoron** is a convex isochoric polychoron with 34 identical cells.

34-13 gyrochoron | |
---|---|

Rank | 4 |

Type | Isotopic |

Elements | |

Cells | 34 20-vertex dodecahedra |

Faces | 68 kites, 68 mirror-symmetric pentagons, 68 mirror-symmetric hexagons |

Edges | 68+136+136 |

Vertices | 34+68+68 |

Vertex figure | 68+68 phyllic disphenoids, 34 tetragonal disphenoids |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | 34-13 step prism |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | S_{2}(I_{2}(34)-13)×2I, order 136 |

Convex | Yes |

Nature | Tame |

Each cell of this polychoron has prodigonal antiprismatic symmetry, with 4 mirror-symmetric hexagons, 4 mirror-symmetric pentagons, and 4 kites for faces.