# Small intercepted distetracontoctachoron

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Small intercepted distetracontoctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sandic |

Elements | |

Cells | 48 oct, 48 socco |

Faces | 384 triangles, 144 squares, 144 octagons |

Edges | 576 |

Vertices | 144 |

Edge figure | oct 3 socco 8 socco 4 socco 8 socco 3 |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 1968 |

Level of complexity | 38 |

Related polytopes | |

Army | Spic |

Regiment | Spic |

Conjugate | Gamfaddic |

Abstract & topological properties | |

Euler characteristic | 144 |

Orientable | Yes |

Properties | |

Symmetry | F_{4}×2, order 2304 |

Convex | No |

Nature | Wild |

The **small intercepted distetracontoctachoron**, or **sandic**, is a nonconvex uniform polychoron that consists of 48 octahedra and 48 small cubicuboctahedra. Two octahedra and eight small cubicuboctahedra join at each vertex.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small prismatotetracontoctachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#517).

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