# Rhombicosidodecahedron

## Archimedean solid / From Wikipedia, the free encyclopedia

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In geometry, the **rhombicosidodecahedron** is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces.

Archimedean solid

**Table info: Rhombicosidodecahedron...**▼

Rhombicosidodecahedron | |
---|---|

(Click here for rotating model) | |

Type | Archimedean solid Uniform polyhedron |

Elements | F = 62, E = 120, V = 60 (χ = 2) |

Faces by sides | 20{3}+30{4}+12{5} |

Conway notation | eD or aaD |

Schläfli symbols | rr{5,3} or $r{\begin{Bmatrix}5\\3\end{Bmatrix}}$ |

t_{0,2}{5,3} | |

Wythoff symbol | 3 5 | 2 |

Coxeter diagram | |

Symmetry group | I_{h}, H_{3}, [5,3], (*532), order 120 |

Rotation group | I, [5,3]^{+}, (532), order 60 |

Dihedral angle | 3-4: 159°05′41″ (159.09°) 4-5: 148°16′57″ (148.28°) |

References | U_{27}, C_{30}, W_{14} |

Properties | Semiregular convex |

Colored faces |
3.4.5.4 (Vertex figure) |

Deltoidal hexecontahedron (dual polyhedron) |
Net |

It has 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, 60 vertices, and 120 edges.