# Small stelloctagonal expandiduoprism

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Small stelloctagonal expandiduoprism | |
---|---|

Rank | 4 |

Type | Scaliform |

Notation | |

Bowers style acronym | Sisoxdip |

Elements | |

Cells | 64 tetrahedra 16 blends of 2 small cubicuboctahedra and octagonal prism |

Faces | 256 triangles 32 squares 80 octagons |

Edges | 128+384 3-fold |

Vertices | 128 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Oadet |

Regiment | Ondip |

Conjugate | Great stelloctagonal expandiduoprism |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | I2(8)≀S2, order 512 |

Convex | No |

Nature | Tame |

The **small stelloctagonal expandiduoprism**, or **sisoxdip**, is a nonconvex scaliform polychoron that consists of 64 regular tetrahedra and 16 blends of 2 small cubicuboctahedra and octagonal prism. 2 tetrahedra and 4 blends join at each vertex.

It is constructed as a blend of 2 steth and 2 shado, or alternatively 4 steth and 4 sodip. It has the same symmetry as the octagonal duoprism.

## External links[edit | edit source]

- Bowers, Jonathan. "Category S5: Ondip Family".