# Compound of twenty octahedra

(Redirected from Disnub icosahedron)

Compound of twenty octahedra | |
---|---|

Rank | 3 |

Type | Uniform |

Notation | |

Bowers style acronym | Dasi |

Elements | |

Components | 20 octahedra |

Faces | 40+120 triangles |

Edges | 120+120 |

Vertices | 60 |

Vertex figure | Stellated octagon, edge length 1 |

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Volume | |

Dihedral angle | |

Central density | 20 |

Number of external pieces | 900 |

Level of complexity | 46 |

Related polytopes | |

Army | Semi-uniform srid, edge lengths (pentagons), (triangles) |

Regiment | Gidrid |

Dual | Compound of twenty cubes |

Conjugate | Compound of twenty octahedra |

Convex core | Icosatruncated disdyakis triacontahedron |

Abstract & topological properties | |

Flag count | 960 |

Schläfli type | {3,4} |

Orientable | Yes |

Properties | |

Symmetry | H_{3}, order 120 |

Convex | No |

Nature | Tame |

The **disnub icosahedron**, **dasi**, or **compound of twenty octahedra** is a uniform polyhedron compound. It consists of 40+120 triangles. The vertices coincide in pairs, and thus eight triangles join at each vertex.

This compound is a special case of the more general altered disnub icosahedron, with θ = . It has the same edges as the uniform great dirhombicosidodecahedron.

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

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

The vertices of a disnub icosahedron of edge length 1 are given by all even permutations of:

## External links[edit | edit source]

- Bowers, Jonathan. "Polyhedron Category C9: Octahedral Continuums" (#66).

- Klitzing, Richard. "dasi".
- Wikipedia contributors. "Compound of twenty octahedra".