# Square triswirltegum

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Square triswirltegum | |
---|---|

Rank | 4 |

Type | Isotopic |

Space | Spherical |

Elements | |

Cells | 48 12-vertex decahedra |

Faces | 96 isosceles triangles, 96 rhombi, 48 rectangular-symmetric hexagons |

Edges | 24+96+192 |

Vertices | 24+96 |

Vertex figure | 96 phyllic disphenoids, 24 square gyrotegums |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Square triswirlprism |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | (I_{2}(12)≀S_{2})+/3, order 192 |

Convex | Yes |

Nature | Tame |

The **square triswirltegum** is a convex isochoric polychoron and member of the duoprismatic swirltegum family with 48 identical cells. It is the third in an infinite family of isochoric square hosohedral swirlchora.

Each cell of this polychoron has chiral digonal prismatic symmetry, with 2 rectangular-symmetric hexagons, 4 rhombi, and 4 isosceles triangles for faces.