# Gyroelongated square bipyramid

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Gyroelongated square bipyramid | |
---|---|

Rank | 3 |

Type | CRF |

Notation | |

Bowers style acronym | Gyesqidpy |

Coxeter diagram | oxoo4ooxo&#xt |

Elements | |

Faces | 8+8 triangles |

Edges | 8+8+8 |

Vertices | 2+8 |

Vertex figures | 2 squares, edge length 1 |

8 pentagons, edge length 1 | |

Measures (edge length 1) | |

Volume | |

Dihedral angles | 3–3 join: |

3–3 antiprismatic: | |

3–3 pyramidal: | |

Central density | 1 |

Number of external pieces | 16 |

Level of complexity | 6 |

Related polytopes | |

Army | Gyesqidpy |

Regiment | Gyesqidpy |

Dual | Order-4 truncated tetragonal trapezohedron |

Conjugate | Gyroelongated square bipyramid |

Abstract & topological properties | |

Flag count | 96 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | (I_{2}(8)×A_{1})/2, order 16 |

Convex | Yes |

Nature | Tame |

The **gyroelongated square bipyramid** is one of the 92 Johnson solids (J_{17}). It consists of 8+8 triangles as faces. It can be constructed by inserting a square antiprism between the two pyramidal halves of the regular octahedron, seen as a square bipyramid.

## Vertex coordinates[edit | edit source]

A gyroelongated square bipyramid of edge length 1 has the following vertices:

## External links[edit | edit source]

- Klitzing, Richard. "gyesqidpy".
- Quickfur. "The Gyroelongated Square Bipyramid".

- Wikipedia contributors. "Gyroelongated square bipyramid".
- McCooey, David. "Gyroelongated Square dipyramid"