# Small rhombihexacron

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Small rhombihexacron | |
---|---|

Rank | 3 |

Type | Uniform dual |

Space | Spherical |

Elements | |

Faces | 24 bowties |

Edges | 24+24 |

Vertices | 12+6 |

Vertex figures | 12 squares |

6 octagons | |

Measures (edge length 1) | |

Inradius | |

Dihedral angle | |

Central density | odd |

Number of external pieces | 48 |

Related polytopes | |

Dual | Small rhombihexahedron |

Conjugate | Great rhombihexacron |

Abstract & topological properties | |

Flag count | 192 |

Euler characteristic | –6 |

Orientable | No |

Properties | |

Symmetry | B_{3}, order 48 |

Convex | No |

Nature | Tame |

The **small rhombihexacron** is a uniform dual polyhedron. It consists of 24 bowties.

It appears the same as the small hexacronic icositetrahedron.

If its dual, the small rhombihexahedron, has an edge length of 1, then the short edges of the bowties will measure , and the long edges will be . The bowties have two interior angles of , and two of . The intersection has an angle of .

## Vertex coordinates[edit | edit source]

A small rhombihexacron with dual edge length 1 has vertex coordinates given by all permutations of:

## External links[edit | edit source]

- Wikipedia Contributors. "Small rhombihexacron".
- McCooey, David. "Small Rhombihexacron"

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