# Triamond stretched octahedron

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Triamond stretched octahedron | |
---|---|

Rank | 3 |

Type | Convex triamond polyhedron |

Space | Spherical |

Elements | |

Faces | 4 triangles, 4 trapezoids |

Edges | 8+2+2+2 |

Vertices | 4+4 |

Measures (minor edge length 1) | |

Volume | |

Surface area | |

Central density | 1 |

Number of external pieces | 8 |

Level of complexity | 7 |

Abstract & topological properties | |

Flag count | 56 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | K_{3}, order 8 |

Convex | Yes |

Nature | Tame |

History | |

Discovered by | Roger Kaufman |

The **triamond stretched octahedron** is a convex triamond polyhedron. It can be made by augmenting the stretched J1 wedge with itself, or by outer-blending two octahedra and two tetrahedra such that they all have an edge in common and then merging all coplanar faces. The latter construction can be viewed as an excerpt of the tetrahedral-octahedral honeycomb.

## External links[edit | edit source]

- Wikipedia Contributors. "Elongated octahedron".
- Kaufman, Roger. "Convex Triamond Regular Polyhedra."