# Great complex icosidodecahedron

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Great complex icosidodecahedron | |
---|---|

Rank | 3 |

Type | Uniform |

Notation | |

Bowers style acronym | Gacid |

Elements | |

Faces | 12 pentagrams, 20 triangles |

Edges | 30 |

Vertices | 12 |

Vertex figure | Complex dipentagon |

Edge figure | Tetrad |

Measures (edge length 1) | |

Circumradius | |

Edge radius | |

Central density | 10 |

Related polytopes | |

Army | Ike |

Regiment | Sissid |

Conjugate | Small complex icosidodecahedron |

Convex core | Icosahedron |

Abstract & topological properties | |

Flag count | 240 |

Properties | |

Symmetry | H3, order 120 |

Convex | No |

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

It can be seen as a compound of great icosahedron and small stellated dodecahedron, with their edges coinciding and merging into tetradic edges.

## External links[edit | edit source]

- Klitzing, Richard. "gacid".

- Wikipedia contributors. "Great complex icosidodecahedron".