# Elongated pentagonal orthobicupola

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Elongated pentagonal orthobicupola | |
---|---|

Rank | 3 |

Type | CRF |

Space | Spherical |

Notation | |

Bowers style acronym | Epobcu |

Coxeter diagram | oxxo5xxxx&#xt |

Elements | |

Faces | 10 triangles, 5+5+10 squares, 2 pentagons |

Edges | 10+10+10+10+20 |

Vertices | 10+20 |

Vertex figures | 10 isosceles trapezoids, edge lengths 1, √2, (1+√5)/2, √2 |

20 trapezoids, edge lengths 1, √2, √2, √2 | |

Measures (edge length 1) | |

Volume | |

Dihedral angles | 3–4 cupolaic: |

4–5: | |

4–4 prismatic: 144° | |

3–4 join: | |

4–4 join: | |

Central density | 1 |

Number of external pieces | 32 |

Level of complexity | 12 |

Related polytopes | |

Army | Epobcu |

Regiment | Epobcu |

Dual | Orthodeltodeltoidal triacontahedron |

Conjugate | Elongated retrograde pentagrammic orthobicupola |

Abstract & topological properties | |

Flag count | 240 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | H_{2}×A_{1}, order 20 |

Convex | Yes |

Nature | Tame |

The **elongated pentagonal orthobicupola** is one of the 92 Johnson solids (J_{38}). It consists of 10 triangles, 5+5+10 squares, and 2 pentagons. It can be constructed by inserting a decagonal prism between the two halves of the pentagonal orthobicupola.

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Klitzing, Richard. "epobcu".

- Quickfur. "The Elongated Pentagonal Orthobicupola".

- Wikipedia Contributors. "Elongated pentagonal orthobicupola".
- McCooey, David. "Elongated Pentagonal Orthobicupola"