# Pentagonal disphenoid

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Pentagonal disphenoid | |
---|---|

Rank | 5 |

Type | Noble |

Space | Spherical |

Bowers style acronym | Pedow |

Info | |

Symmetry | H2≀S2×A1+, order 200 |

Army | Pedow |

Regiment | Pedow |

Elements | |

Vertex figure | Pentagonal scalene |

Tera | 10 pentagonal scalenes |

Cells | 25 tetragonal disphenoids, 10 pentagonal disphenoids |

Faces | 50 isosceles triangles, 2 pentagons |

Edges | 10+25 |

Vertices | 10 |

Measures (base edge length 1, height h) | |

Edge lengths | Edges of pentagons (10): 1 |

Lacing edges (25): | |

Circumradius | |

Central density | 1 |

Euler characteristic | 2 |

Related polytopes | |

Dual | Pentagonal disphenoid |

Conjugate | Pentagrammic disphenoid |

Properties | |

Convex | Yes |

Orientable | Yes |

Nature | Tame |

The **pentagonal disphenoid** or **pedow** is a convex noble polyteron with 10 pentagonal scalenes as facets. 7 facets join at each vertex. However, it cannot be made scaliform, because the length of the lacing edges must be greater than the base edges.