# Small blendic trisnub prismatodistetracontoctachoron

Small blendic trisnub prismatodistetracontoctachoron | |
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Rank | 4 |

Type | Scaliform |

Elements | |

Cells | 96 tet as 48 so, 288 tet, 192 trip, 288 cube, 288 tutrip |

Faces | 384+1152 triangles, 576+1152 squares |

Edges | 576+576+1152 |

Vertices | 384 |

Vertex figure | Blend of 4 triangular antipodia |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | Undefined |

Related polytopes | |

Army | Bitec |

Regiment | "Tetrasidpith" |

Conjugate | Blend of 24 quasidisprismatotesseractihexadecachora |

Abstract & topological properties | |

Orientable | No |

Properties | |

Symmetry | F4×2, order 2304 |

Convex | No |

Nature | Tame |

The **small blendic trisnub prismatodistetracontoctachoron** or **sabtaspiddic** is a scaliform polychoron, consisting of 96 tetrahedra pairing up to form 48 stellated octahedra, 288 more tetrahedra, 192 triangular prisms, 288 cubes, and 288 blends of 2 triangular prisms. It can be constructed by blending 24 small disprismatotesseractihexadecachora (one set of 6 and another of 18).

It leads a scaliform regiment known as the tetrasidpiths, the name is due to the vertex figure being a blend of 4 sidpith verfs. The regiment contains 24 known proper scaliform polychora, 2 fissary scaliforms, 2 scaliform compounds (18-scucoth and 18-caco), a mixed compound, and 9 coincidic members.

## Vertex coordinates[edit | edit source]

The vertices of a small blendic trisnub prismatodistetracontoctachoron of edge length 1 are given by all permutations of:

The third set of vertices are identical to the vertices of an inscribed small disprismatotesseractihexadecachoron.