# Small 15-4 bigyrochoron

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Small 15-4 bigyrochoron | |
---|---|

Rank | 4 |

Type | Isotopic |

Space | Spherical |

Elements | |

Cells | 30 22-vertex tridecahedra |

Faces | 60 scalene triangles, 30 kites, 30 mirror-symmetric pentagons, 30 mirror-symmetric hexagons, 15 rectangular-symmetric octagons, 30 mirror-symmetric octagons |

Edges | 30+60+60+60+60+60 |

Vertices | 15+30+30+30+60 |

Vertex figure | 15 rhombic disphenoids, 30+30+30 phyllic disphenoids, 60 irregular tetrahedra |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Small 15-4 double step prism |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I2(15)+×4×I, order 60 |

Convex | Yes |

Nature | Tame |

The **small 15-4 bigyrochoron** is a convex isochoric polychoron with 30 identical cells.

Each cell of this polychoron has mirror symmetry, with3 octagons, 2 hexagons, 2 pentagons, 2 tetragons, and 4 triangles for faces.