# Grand hexadecagonal prismatic blend

The **grand hexadecagonal prismatic blend** is an orbiform polyhedron. It consists of 6 great hexadecagrams and 36 squares. It can be obtained by blending 3 great hexadecagrammic prisms together.

Grand hexadecagonal prismatic blend | |
---|---|

Rank | 3 |

Type | Orbiform |

Notation | |

Bowers style acronym | Gahadpib |

Elements | |

Faces | 6 great hexadecagrams, 36 squares |

Edges | 24+24+24+48 |

Vertices | 24+48 |

Vertex figures | 24 (4.16/7.4/3.16/9) |

48 (4.4.16/7) | |

Measures (edge length 1) | |

Circumradius | |

Dihedral angles | 4-4 (prism laces): 22.5° |

4-16 (prism bases): 90° | |

4-16 (at edges of blended-away squares): 67.5° | |

Central density | 21 |

Related polytopes | |

Conjugates | Small hexadecagonal prismatic blend, Medial hexadecagonal prismatic blend, Great hexadecagonal prismatic blend |

Convex core | Tetrakis chamfered cube |

Abstract & topological properties | |

Flag count | 480 |

Euler characteristic | –6 |

Orientable | No |

Genus | 8 |

Properties | |

Symmetry | B_{3}, order 48 |

Convex | No |

Nature | Tame |

It appears as a cell in the small grand prismatodistetracontoctachoron and the great grand prismatodistetracontoctachoron.

## Vertex coordinates edit

The vertex coordinates for a grand hexadecagonal prismatic blend of unit length are given by all permutations of:

## External links edit

- Bowers, Jonathan. "Batch 11: Prism Blends".