# Prismatopentintercepted dispentachoron

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Prismatopentintercepted dispentachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Pippindip |

Elements | |

Cells | 5 octahedra, 10 hexagonal prisms, 5 truncated tetrahedra, 5 cuboctahedra |

Faces | 10+20+20 triangles, 15+30 squares, 20 hexagons |

Edges | 30+60 |

Vertices | 30 |

Vertex figure | Inverted wedge, edge lengths 1 (5), √2 (6), and √3 (4) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Co–3-oct: |

Oct–3–tut: | |

Co–3–co: | |

Co–4–hip: | |

Tut–6–hip: | |

Hip–4–hip: | |

Related polytopes | |

Army | Srip |

Regiment | Srip |

Conjugate | None |

Convex core | Pentachoron |

Abstract & topological properties | |

Flag count | 1800 |

Euler characteristic | 30 |

Orientable | Yes |

Properties | |

Symmetry | A_{4}, order 120 |

Convex | No |

Nature | Wild |

The **prismatopentintercepted dispentachoron**, or **pippindip**, is a nonconvex uniform polychoron that consists of 5 truncated tetrahedra, 5 octahedra, 5 cuboctahedra, and 10 hexagonal prisms. 2 truncated tetrahedra, 2 cuboctahedra, 1 octahedron, and 4 hexagonal prisms join at each vertex.

It has the same faces as the prismatointercepted prismatodispentachoron.

## Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the small rhombated pentachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 6: Sphenoverts" (#138).

- Klitzing, Richard. "pippindip".