# Blend of 2 small rhombidodecahedra

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Blend of 2 small rhombidodecahedra | |
---|---|

Rank | 3 |

Type | Orbiform |

Space | Spherical |

Elements | |

Faces | 48 squares, 24 decagons |

Edges | 24+48+48+96 |

Vertices | 24+24+48 |

Vertex figures | 24+48 butterflies, edge lengths √2 and √(5+√5)/2 |

24 (4.10.10)^{2} | |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Conjugate | Blend of 2 great rhombidodecahedra |

Convex core | Cube, edge length √5 |

Abstract & topological properties | |

Flag count | 864 |

Euler characteristic | –48 |

Orientable | No |

Genus | 50 |

Properties | |

Symmetry | B_{3}, order 48 |

Convex | No |

Nature | Tame |

The **blend of 2 small rhombidodecahedra** is an orbiform polyhedron. It consists of 48 squares and 24 decagons. As the name suggests, it can be constructed by blending two small rhombidodecahedra together by six square faces.

It appears as a cell in the small fusihexacosichoron.

## Vertex coordinates[edit | edit source]

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