# Rectified order-6 truncated triakis tetrahedron

The **rectified** **order-6 truncated triakis tetrahedron** is a near-miss Johnson solid. Its faces are 4 triambi, 12 mirror-symmetric pentagons, 12+12 isosceles triangles and 4 regular triangles.

Rectified order-6 truncated triakis tetrahedron | |
---|---|

Rank | 3 |

Type | Near-miss |

Notation | |

Conway notation | at6kT |

Elements | |

Faces | 4 triambi, 12 mirror-symmetric pentagons, 12+12 isosceles triangles, 4 triangles |

Edges | 12+12+12+24+24 |

Vertices | 24+12+6 |

Vertex figures | 12 isosceles trapezoid |

24 irregular quadrilateral | |

6 rectangle | |

Measures (edge length 1) | |

Edge length ratio | 1.03143 |

Central density | 1 |

Number of external pieces | 44 |

Related polytopes | |

Conjugate | None |

Abstract & topological properties | |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | A3, order 24 |

Convex | Yes |

Nature | Tame |