# Final stellation of the rhombic dodecahedron

Jump to navigation
Jump to search

Final stellation of the rhombic dodecahedron | |
---|---|

Rank | 3 |

Elements | |

Faces | 12 irregular hexagrams |

Edges | 12+24 |

Vertices | 24 |

Vertex figure | Isosceles triangle |

Related polytopes | |

Army | Toe |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | B_{3}, order 48 |

Convex | No |

Nature | Tame |

The **final stellation of the rhombic dodecahedron** is a noble polyhedron compound that is a faceting of the uniform truncated octahedron. It has 24 isosceles triangles as faces in coplanar pairs, forming 12 irregular hexagrams. It is a compound of six tetragonal disphenoids.

## Vertex coordinates[edit | edit source]

The vertices of the final stellation of the rhombic dodecahedron with core edge length 1 are given by all permutations of: