# Great cubiprismatotesseractihexadecaoctachoron

(Redirected from Gicpatho)

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Great cubiprismatotesseractihexadecaoctachoron | |
---|---|

Rank | 4 |

Type | Scaliform |

Space | Spherical |

Notation | |

Bowers style acronym | Gicpatho |

Elements | |

Cells | 16 tet 32 trip 8+8 cube 8 2-stop-blend |

Faces | 64 triangles 16+32+32+64 squares 16 octagrams |

Edges | 32+32 4-fold 64+64 5-fold |

Vertices | 64 |

Vertex figure | Faceting of triangular podium |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Tat |

Regiment | Gittith |

Conjugate | Small cubiprismatotesseractihexadecaoctachoron |

Abstract & topological properties | |

Orientable | No |

Properties | |

Symmetry | B_{2}≀S_{2}, order 128 |

Convex | No |

Nature | Wild |

The **great cubiprismatotesseractihexadecaoctachoron** or **gicpatho** is a scaliform polychoron that consists of 16 tetrahedra, 32 triangular prisms, 8+8 cubes, and 8 blends of 2 octagrammic prisms. 1 tetrahedron, 3 triangular prisms, 2 cubes, and 3 blends of 2 octagrammic prisms meet at each vertex.

It can be formed as a blend of a great spinoprismatotesseractihexadecachoron and an octagrammic diorthoprism.

## External links[edit | edit source]

- Bowers, Jonathan. "Category S2: Podary Scaliforms" (#S21).