# Small retroinverted prismatotetracontoctachoron

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Small retroinverted prismatotetracontoctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Sripic |

Elements | |

Cells | 48 tic, 192 trip |

Faces | 384 triangles, 288 squares, 144 octagons |

Edges | 576 |

Vertices | 144 |

Vertex figure | Inverted square antiprism, edge lengths 1 (base), √2 (outer side edges), and √2+√2 (inne side edges) |

Edge figure | (trip 4 trip 4 trip 3 tic 8 tic 8 tic 3) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Trip–4–trip: |

Tic–3–trip: 90° | |

Socco–8–socco: 45° | |

Number of external pieces | 576 |

Level of complexity | 7 |

Related polytopes | |

Army | Spic |

Regiment | Spic |

Conjugate | Great retroinverted prismatotetracontoctachoron |

Abstract & topological properties | |

Flag count | 13824 |

Euler characteristic | 144 |

Orientable | Yes |

Properties | |

Symmetry | F_{4}×2, order 2304 |

Convex | No |

Nature | Feral |

The **small retroinverted prismatotetracontoctachoron**, or **sripic**, is a nonconvex uniform polychoron that consists of 48 truncated cubes and 192 triangular prisms. Eight truncated cubes and eight triangular prisms join at each vertex.

It also has octahedra as pseudofacets.

## 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" (#514).

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