# Polar facetodistetracontoctachoron

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Polar facetodistetracontoctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Lifdic |

Elements | |

Cells | 48 quith, 48 querco |

Faces | 384 triangles, 432 squares, 144 octagrams |

Edges | 576 |

Vertices | 144 |

Edge figure | quith 8/3 quith 8/3 quith 3 querco 4 querco 4 querco 4 querco 3 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Spic |

Regiment | Giddic |

Conjugate | Offadac |

Abstract & topological properties | |

Euler characteristic | 432 |

Orientable | No |

Properties | |

Symmetry | F_{4}×2, order 2304 |

Convex | No |

Nature | Wild |

The **polar facetodistetracontoctachoron**, or **lifdic**, is a nonconvex uniform polychoron that consists of 48 quasitruncated hexahedra and 48 quasirhombicuboctahedra. Eight quasitruncated hexahedra and eight quasirhombicuboctahedra join at each vertex.

It also has doubly-covered tetrahemihexahedra as pseudofacets.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the great distetracontoctachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#538).

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