# Small disprismated dodecafold cubiswirlchoron

(Redirected from Expanded dodecafold cubiswirlchoron)

Small disprismated dodecafold cubiswirlchoron | |
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Rank | 4 |

Type | Isogonal |

Elements | |

Cells | 288+288 wedges, 96 triangular prisms, 96 triangular gyroprisms, 72 square prisms, 72 square gyroprisms |

Faces | 192 triangles, 576+576 isosceles triangles, 144 squares, 288+288+576 rectangles |

Edges | 288+288+288+288+576+576 |

Vertices | 576 |

Vertex figure | Irregular tetragonal antiprism |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Small crystallized cubiswirlic heptacontadichoron |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | B_{3}●I_{2}(12), order 576 |

Convex | Yes |

Nature | Tame |

The **small disprismated dodecafold cubiswirlchoron**, also known as the **small disprismated dodecafold octaswirlchoron**, is an isogonal polychoron with 72 square prisms, 72 square gyroprisms, 96 triangular prisms, 96 triangular gyroprisms, 576 wedges of two kinds, and 576 vertices. 4 wedges and 1 each of the other cell types join at each vertex. It can be formed by expanding the cells of the square-gyroprismatic heptacontadichoron or its dual triangular-gyroprismatic enneacontahexachoron outward.