# Muicosahedron

Jump to navigation
Jump to search

Muicosahedron | |
---|---|

Rank | 3 |

Space | Hyperbolic |

Notation | |

Schläfli symbol | |

Elements | |

Faces | Hexagons |

Edges | |

Vertices | |

Vertex figure | Skew square, edge length |

Related polytopes | |

Army | Bitped |

Regiment | Bitped |

Abstract properties | |

Schläfli type | {6,4} |

Topological properties | |

Orientable | Yes |

Genus | ∞ |

Properties | |

Convex | No |

The **muicosahedron** is a regular skew apeirohedron in 3-dimensional hyperbolic space.

The muicosahedron can be constructed from the bitruncated order-5 dodecahedral honeycomb. Its faces are the hexagonal faces of the bitruncated order-5 dodecahedral honeycomb. The pentagonal faces form holes in the muicosahedron.

It can also be constructed from order-5 hexagonal tiling by identifying faces as to make pentagonal holes.

## Vertex coordinates[edit | edit source]

It's vertex coordinates are the same as the bitruncated order-5 dodecahedral honeycomb.