# Gyrated blend of truncated cubes

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Gyrated blend of truncated cubes | |
---|---|

Rank | 3 |

Space | Spherical |

Notation | |

Bowers style acronym | Tutic |

Elements | |

Faces | 8 octagons, 16 triangles |

Edges | 8+16+32 |

Vertices | 16+16 |

Measures (edge length 1) | |

Circumradius | |

Central density | 0 |

Related polytopes | |

Conjugate | Gyrated blend of quasitruncated hexahedra |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Genus | 1 |

Properties | |

Symmetry | I_{2}(8)×A_{1}, order 32 |

Convex | No |

The **gyrated blend of truncated cubes** is a non-convex polyhedron with regular faces. It can be made by blending two truncated cubes.

It is the 8-8-3 acrohedron generated by Green's rules.

## Vertex coordinates[edit | edit source]

The vertex coordinates for a gyrated blend of truncated cubes of unit length are given by

- ,
- ,

and all permutations of

- .

## External links[edit | edit source]

- Klitzing, Richard. "tutic".