# Decagonal disphenoid

Jump to navigation
Jump to search

Decagonal disphenoid | |
---|---|

Rank | 5 |

Type | Noble |

Notation | |

Bowers style acronym | Dedow |

Elements | |

Tera | 20 decagonal scalenes |

Cells | 100 tetragonal disphenoids, 20 decagonal pyramids |

Faces | 200 isosceles triangles, 2 decagons |

Edges | 20+100 |

Vertices | 20 |

Vertex figure | Decagonal scalene |

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

Edge lengths | Edges of base decagons (20): 1 |

Lacing edges (100): | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Dedow |

Regiment | Dedow |

Dual | Decagonal disphenoid |

Abstract & topological properties | |

Euler characteristic | 2 |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(10)▲S_{2}, order 800 |

Convex | Yes |

Nature | Tame |

The **decagonal disphenoid** or **dedow** is a convex noble polyteron with 20 decagonal scalenes as facets. 12 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.