# Small complex icosidodecahedron

The **small complex icosidodecahedron**, or **cid**, is a uniform exotic polyhedroid. It has 12 pentagons and 20 triangles as faces, with 5 of each at a vertex.

Small complex icosidodecahedron | |
---|---|

Rank | 3 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Cid |

Coxeter diagram | o5/3o3x5*a () |

Elements | |

Faces | 12 pentagons, 20 triangles |

Edges | 30 |

Vertices | 12 |

Vertex figure | Complex dipentagon |

Measures (edge length 1) | |

Circumradius | |

Edge radius | |

Central density | 4 |

Related polytopes | |

Army | Ike |

Regiment | Ike |

Conjugate | Great complex icosidodecahedron |

Convex core | Dodecahedron |

Abstract & topological properties | |

Flag count | 240 |

Properties | |

Symmetry | H3, order 120 |

Convex | No |

It can be seen as a compound of ike and gad, with their edges coinciding and merging into tetradic edges.

## External linksEdit

- Klitzing, Richard. "cid".

- Wikipedia Contributors. "Small complex icosidodecahedron".