# Stellated tetracontoctachoron

The **stellated tetracontoctachoron** or **stoc** is a regular compound polychoron. It is a compound of two icositetrachora in dual orientations. it has 48 octahedra as cells, with 6 cells joining at each vertex.

Stellated tetracontoctachoron | |
---|---|

Rank | 4 |

Type | Regular |

Notation | |

Bowers style acronym | Stoc |

Elements | |

Components | 2 icositetrachora |

Cells | 48 octahedra |

Faces | 192 triangles |

Edges | 192 |

Vertices | 48 |

Vertex figure | Cube, edge length 1 |

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Hypervolume | |

Dichoral angle | |

Related polytopes | |

Army | Bicont |

Regiment | Stoc |

Dual | Stellated tetracontoctachoron |

Conjugate | Stellated tetracontoctachoron |

Convex core | Tetracontoctachoron |

Abstract & topological properties | |

Flag count | 2304 |

Orientable | Yes |

Properties | |

Symmetry | F_{4}×2, order 2304 |

Convex | No |

Nature | Tame |

Its quotient prismatic equivalent is the icositetrachoric antiprism, which is five-dimensional.

## Vertex coordinates edit

The vertices of a stellated tetracontoctachoron of edge length 1, centered at the origin, are given by all permutations of:

## External links edit

- Klitzing, Richard. "stoc".