# Lepidocelliprismatotruncatododecateron

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Lepidocelliprismatotruncatododecateron | |
---|---|

Rank | 5 |

Type | Uniform |

Notation | |

Bowers style acronym | Lacaptid |

Elements | |

Tera | 20 hexagonal duoprisms, 12 rhombiprismic dispentachora, 6 great prismatodecachora |

Cells | 120+120 hexagonal prisms, 30 cubohemioctahedra, 60 truncated octahedra |

Faces | 90+180+360 squares, 120+240 hexagons |

Edges | 360+720 |

Vertices | 360 |

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

Measures (edge length 1) | |

Circumradius | |

Diteral angles | Ripdip–hip–hiddip: |

Ripdip–choe–ripdip: | |

Ripdip–toe–gippid: | |

Gippid–hip–hiddip: | |

Related polytopes | |

Army | Captid |

Regiment | Captid |

Conjugate | None |

Abstract & topological properties | |

Flag count | 57600 |

Orientable | No |

Properties | |

Symmetry | A_{5}×2, order 1440\ |

Convex | No |

Nature | Tame |

The **lepidocelliprismatotruncatododecateron**, or **lacaptid**, is a nonconvex uniform polyteron. It consists of 12 rhombiprismic dispentachora, 20 hexagonal duoprisms, and 6 central great prismatodecachora. 2 rhombiprismic dispentachora, 2 hexagonal duoprisms, 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" (#846).