# Decagonal-decagrammic duoprism

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Decagonal-decagrammic duoprism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Distadedip |

Coxeter diagram | x10o x10/3o () |

Elements | |

Cells | 10 decagonal prisms, 10 decagrammic prisms |

Faces | 100 squares, 10 decagons, 10 decagrams |

Edges | 100+100 |

Vertices | 100 |

Vertex figure | Digonal disphenoid, edge lengths √(5+√5)/2 (base 1), √(5–√5)/2 (base 2), √2 (sides) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Stiddip–10/3–stiddip: 144° |

Dip–4–stiddip: 90° | |

Dip–10–dip: 72° | |

Central density | 3 |

Number of external pieces | 30 |

Level of complexity | 12 |

Related polytopes | |

Army | Semi-uniform dedip |

Regiment | Distadedip |

Dual | Decagonal-decagrammic duotegum |

Conjugate | Decagonal-decagrammic duoprism |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(10)×I_{2}(10), order 400 |

Convex | No |

Nature | Tame |

The **decagonal-decagrammic duoprism** or **distadedip**, also known as the **10-10/3 duoprism**, is a uniform duoprism that consists of 10 decagonal prisms and 10 decagrammic prisms, with 2 of each at each vertex.

This polychoron can be alternated into the great duoantiprism, which can be made uniform.

## Vertex coordinates[edit | edit source]

The coordinates of a decagonal-decagrammic duoprism, centered at the origin with unit edge length, are given by:

## Representations[edit | edit source]

A decagonal-decagrammic duoprism has the following Coxeter diagrams:

- x10o x10/3o (full symmetry)
- x5x x10/3o () (H
_{2}×I_{2}(10) symmetry, decagons as dipentagons)

## External links[edit | edit source]

- Bowers, Jonathan. "Category A: Duoprisms".

- Klitzing, Richard. "distadedip".