# Dodecagonal disphenoid

(Redirected from 12-12 disphenoid)

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Dodecagonal disphenoid | |
---|---|

Rank | 5 |

Type | Noble |

Space | Spherical |

Bowers style acronym | Twadow |

Info | |

Symmetry | I2(12)≀S2×A1+, order 1152 |

Army | Twadow |

Regiment | Twadow |

Elements | |

Vertex figure | Dodecagonal scalene |

Tera | 24 dodecagonal scalenes |

Cells | 144 tetragonal disphenoids, 24 dodecagonal pyramids |

Faces | 288 isosceles triangles, 2 dodecagons |

Edges | 24+144 |

Vertices | 24 |

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

Edge lengths | Edges of base dodecagons (24): 1 |

Lacing edges (144): | |

Circumradius | |

Central density | 1 |

Euler characteristic | 2 |

Related polytopes | |

Dual | Dodecagonal disphenoid |

Properties | |

Convex | Yes |

Orientable | Yes |

Nature | Tame |

The **dodecagonal disphenoid** or **twadow** is a convex noble polyteron with 24 dodecagonal scalenes as facets. 14 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.