# Compound of twenty triangular prisms

(Redirected from Disrhombicosahedron)

Compound of twenty triangular prisms | |
---|---|

Rank | 3 |

Type | Uniform |

Notation | |

Bowers style acronym | Dri |

Elements | |

Components | 20 triangular prisms |

Faces | 40 triangles as 20 hexagrams, 60 squares |

Edges | 60+120 |

Vertices | 60 |

Vertex figure | Compound of two isosceles triangle, edge lengths 1, √2, √2 |

Measures (edge length 1) | |

Circumradius | |

Volume | |

Dihedral angles | 4–3: 90° |

4–4: 60° | |

Central density | 20 |

Number of external pieces | 1140 |

Level of complexity | 60 |

Related polytopes | |

Army | Semi-uniform Ti, edge lengths (pentagons), (between ditrigons) |

Regiment | Dri |

Dual | Compound of twenty triangular tegums |

Conjugate | Compound of twenty triangular prisms |

Convex core | Rhombic triacontahedron |

Abstract & topological properties | |

Flag count | 720 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}, order 120 |

Convex | No |

Nature | Tame |

The **disrhombicosahedron**, **dri**, or **compound of twenty triangular prisms** is a uniform polyhedron compound. It consists of 60 squares and 40 triangles (pairs of which are in the same plane, combining to 20 hexagrams), with two triangles and four squares joining at a vertex.

It can be formed by combining the two chiral forms of the chirorhombicosahedron, which results in vertices pairing up and two components joining per vertex.

Its quotient prismatic equivalent is the triangular prismatic icosayodakoorthowedge, which is 22-dimensional.

## Vertex coordinates[edit | edit source]

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

plus all even permutations of:

## External links[edit | edit source]

- Bowers, Jonathan. "Polyhedron Category C7: Chiral and Doubled Prismatics" (#45).

- Klitzing, Richard. "dri".
- Wikipedia contributors. "Compound of twenty triangular prisms".