# Elongated pentagonal bipyramid

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Elongated pentagonal bipyramid | |
---|---|

Rank | 3 |

Type | CRF |

Notation | |

Bowers style acronym | Epedpy |

Coxeter diagram | oxxo5oooo&#xt |

Elements | |

Faces | 10 triangles, 5 squares |

Edges | 5+10+10 |

Vertices | 2+10 |

Vertex figures | 2 pentagons, edge length 1 |

10 kites, edge lengths 1 and √2 | |

Measures (edge length 1) | |

Volume | |

Dihedral angles | 3–3: |

3–4: | |

4–4: 108° | |

Central density | 1 |

Number of external pieces | 15 |

Level of complexity | 5 |

Related polytopes | |

Army | Epedpy |

Regiment | Epedpy |

Dual | Pentagonal bifrustum |

Conjugate | Elongated pentagrammic bipyramid |

Abstract & topological properties | |

Flag count | 100 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | H_{2}×A_{1}, order 20 |

Convex | Yes |

Nature | Tame |

The **elongated pentagonal bipyramid** is one of the 92 Johnson solids (J_{16}). It consists of 10 triangles and 5 squares. It can be constructed by inserting a pentagonal prism between the halves of the pentagonal bipyramid.

## Vertex coordinates[edit | edit source]

An elongated pentagonal bipyramid of edge length 1 has the following vertices:

## External links[edit | edit source]

- Klitzing, Richard. "epedpy".
- Quickfur. "The Elongated Pentagonal Bipyramid".

- Wikipedia contributors. "Elongated pentagonal bipyramid".
- McCooey, David. "Elongated Pentagonal Dipyramid J16"