# Blend of 2 small rhombicosidodecahedra

Jump to navigation
Jump to search

Blend of 2 small rhombicosidodecahedra | |
---|---|

Rank | 3 |

Type | Orbiform |

Space | Spherical |

Elements | |

Faces | 24 triangles 16 triangles as 8 hexagrams 48 squares 24 pentagons |

Edges | 24+48+48+96 |

Vertices | 24+24+48 |

Vertex figures | 24 (3.4.5.4) |

48 (6/2.4.5.4) | |

24 (5.4.3)^{2} | |

Measures (edge length 1) | |

Circumradius | |

Central density | 0 |

Number of external pieces | 360 |

Level of complexity | 48 |

Related polytopes | |

Conjugate | Blend of 2 quasirhombicosidodecahedra |

Abstract & topological properties | |

Flag count | 864 |

Euler characteristic | –8 |

Orientable | Yes |

Genus | 5 |

Properties | |

Symmetry | B_{3}, order 48 |

Convex | No |

Nature | Tame |

The **blend of 2 small rhombicosidodecahedra** is an orbiform polyhedron. It consists of 40 triangles (16 of which form 8 hexagrams), 48 squares, and 24 pentagons. As the name suggests, it can be constructed by blending two small rhombicosidodecahedra together by six square faces.

It is hollow, and appears as a cell in the small disnub hexacosi-fusihexacosichoron and the small disdishexacosi-fusihexacosichoron.

## Vertex coordinates[edit | edit source]

A blend of 2 small rhombicosidodecahedra of edge length 1 has vertex coordinates given by all permutations of