# Compound of eight triangular prisms

(Redirected from Disrhomboctahedron)

Compound of eight triangular prisms | |
---|---|

Rank | 3 |

Type | Uniform |

Notation | |

Bowers style acronym | Dro |

Elements | |

Components | 8 triangular prisms |

Faces | 16 triangles as 8 hexagrams, 24 squares as 12 stellated octagons |

Edges | 24+48 |

Vertices | 48 |

Vertex figure | Isosceles triangle, edge length 1, √2, √2 |

Measures (edge length 1) | |

Circumradius | |

Volume | |

Dihedral angles | 4–3: 90° |

4–4: 60° | |

Central density | 8 |

Number of external pieces | 152 |

Level of complexity | 26 |

Related polytopes | |

Army | Semi-uniform Girco, edge lengths (octagons), (ditrigon-rectangle) |

Regiment | Dro |

Dual | Compound of eight triangular tegums |

Conjugate | Compound of eight triangular prisms |

Convex core | Rhombic dodecahedron |

Abstract & topological properties | |

Flag count | 288 |

Orientable | Yes |

Properties | |

Symmetry | B_{3}, order 48 |

Flag orbits | 6 |

Convex | No |

Nature | Tame |

The **disrhomboctahedron**, **dro**, or **compound of eight triangular prisms** is a uniform polyhedron compound. It consists of 24 squares and 16 triangles (all of which pair up due to lying in the same plane), with one triangle and two squares joining at a vertex.

It is the result of combining the two chiral forms of the rhomboctahedron.

Its quotient prismatic equivalent is the triangular prismatic octaexoorthowedge, which is ten-dimensional.

## Vertex coordinates[edit | edit source]

The vertices of a disrhomboctahedron of edge length 1 are given by all permutations of:

- .

## External links[edit | edit source]

- Bowers, Jonathan. "Polyhedron Category C7: Chiral and Doubled Prismatics" (#39).

- Klitzing, Richard. "dro".
- Wikipedia contributors. "Compound of eight triangular prisms".