# Small pseudorhombic prismatotesseract

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Small pseudorhombic prismatotesseract | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Spript |

Elements | |

Cells | 32 triangular prisms, 24 octagonal prisms, 8 truncated cubes |

Faces | 64 triangles, 48+96 squares, 48 octagons |

Edges | 96+192 |

Vertices | 96 |

Vertex figure | Isosceles triangular retroprism, edge lengths 1 (2), √2 (6), and √2+√2 (4) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Tic–3–trip: 90° |

Op–4–op: 90° | |

Tic–8–op: 45° | |

Trip–4–op: | |

Central density | 1 |

Related polytopes | |

Army | Srit |

Regiment | Srit |

Conjugate | Great pseudorhombic prismatotesseract |

Convex core | Tesseract |

Abstract & topological properties | |

Flag count | 4608 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | B_{4}, order 384 |

Convex | No |

Nature | Tame |

The **small pseudorhombic prismatotesseract**, or **spript**, is a nonconvex uniform polychoron that consists of 8 truncated cubes, 32 triangular prisms, and 24 octagonal prisms. Two truncated cubes, two triangular prisms, and four octagonal prisms join at each vertex.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 6: Sphenoverts" (#143).

- Klitzing, Richard. "spript".