# Bilinski dodecahedron

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Bilinski dodecahedron | |
---|---|

Rank | 3 |

Elements | |

Faces | 8 + 2 + 2 golden rhombi |

Edges | 4 + 4 + 4 + 8 |

Vertices | 2 + 4 + 4 + 4 |

Measures (edge length 1) | |

Central density | 1 |

Abstract & topological properties | |

Flag count | 96 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | K_{3}, order 8 |

Convex | Yes |

Nature | Tame |

The **Bilinski dodecahedron** is a polyhedron with twelve golden rhombus faces. It is topologically equivalent to the rhombic dodecahedron. It is one of the five golden isozonohedra.

## Vertex coordinates[edit | edit source]

The vertex coordinates of a Bilinski dodecahedron with unit edge length are given by:

## Gallery[edit | edit source]

## External links[edit | edit source]

- Wikipedia Contributors. "Bilinski dodecahedron".
- Weisstein, Eric W. "Bilinski Dodecahedron" at MathWorld.
- McCooey, David. "Bilinski's Dodecahedron"