# Snub expanded tetrated dodecahedron

The **snub expanded tetrated dodecahedron** is a near-miss Johnson solid. Its faces are 12+12+12+12 scalene triangles, 4+4 regular triangles, and 12 irregular pentagons.

Snub expanded tetrated dodecahedron | |
---|---|

Rank | 3 |

Type | Near-miss |

Elements | |

Faces | 12+12+12+12 scalene triangles, 4+4 regular triangles, 12 irregular pentagons |

Edges | 6+12+12+12+12+12+12+12+12+12 |

Vertices | 12+12+12+12 |

Vertex figures | 12 irregular quadrilaterals |

12+12+12 irregular pentagons | |

Measures (edge length 1) | |

Edge length ratio | 1.01801 |

Central density | 1 |

Number of external pieces | 68 |

Related polytopes | |

Conjugate | None |

Abstract & topological properties | |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | A3+, order 12 |

Convex | Yes |

Nature | Tame |