# Elongated bowtie tegum

The **elongated bowtie tegum**, or **ebot**, is a nonconvex orbiform polyhedron and an edge-faceting of the cuboctahedron. Its faces are 4 triangles, 2 squares, and 2 hexagons.

Elongated bowtie tegum | |
---|---|

Rank | 3 |

Type | Orbiform |

Notation | |

Bowers style acronym | Ebot |

Elements | |

Faces | 4 triangles, 2 squares, 2 hexagons |

Edges | 4+4+8 |

Vertices | 2+8 |

Vertex figures | 2 bowties, edge lengths 1 and √3 |

8 scalene triangles, edge lengths 1, √2, √3 | |

Measures (edge length 1) | |

Circumradius | 1 |

Volume | |

Dihedral angles | 3–4: |

3–6: | |

4–6: | |

Related polytopes | |

Army | Bidiminished Co |

Regiment | Ebot |

Conjugate | None |

Abstract & topological properties | |

Flag count | 64 |

Orientable | Yes |

Properties | |

Symmetry | K_{3}, order 8 |

Convex | No |

Nature | Tame |

## Vertex coordinates edit

The vertices of an elongated bowtie tegum of edge length 1 are given by:

- ,
- ,
- .

These are the vertices of a cuboctahedron with two opposite points removed.

## External links edit

- Bowers, Jonathan. "Batch 1: Oct and Co Facetings" (#6 under co).

- Klitzing, Richard. "ebot".

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