# Retrocelliprismatotruncatododecateron

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Retrocelliprismatotruncatododecateron | |
---|---|

Rank | 5 |

Type | Uniform |

Notation | |

Bowers style acronym | Recaptid |

Coxeter diagram | x3x3x3x *b3/2o3*c () |

Elements | |

Tera | 30 truncated tetrahedral prisms, 12 prismatotrispentachora, 6 great prismatodecachora |

Cells | 120 triangular prisms, 120 hexagonal prisms, 60 truncated tetrahedra, 30 octahemioctahedra, 60 truncated octahedra |

Faces | 240 triangles, 90+360 squares, 120+240 hexagons |

Edges | 360+720 |

Vertices | 360 |

Vertex figure | Bowtie scalene, base edge lengths 1 and √3, remaining edge lengths √2 (5) and √3 (4) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Diteral angles | Pittip–tut–tuttip: |

Pittip–oho–pittip: | |

Pittip–trip–tuttip: | |

Pittip–toe–gippid: | |

Gippid–hip–tuttip: | |

Related polytopes | |

Army | Captid |

Regiment | Captid |

Conjugate | None |

Abstract & topological properties | |

Flag count | 57600 |

Orientable | Yes |

Properties | |

Symmetry | A_{5}×2, order 1440\ |

Convex | No |

Nature | Tame |

The **retrocelliprismatotruncatododecateron**, or **recaptid**, is a nonconvex uniform polyteron. It consists of 12 prismatotrispentachora, 30 truncated tetrahedral prisms, and 6 central great prismatodecachora. 2 prismatotrispentachora, 2 truncated tetrahedral prisms, and 2 great prismatodecachora join at each vertex.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the celliprismatotruncatododecateron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 13: Prismatorhombates and Kin" (#845).

- Klitzing, Richard. "recaptid".