# Small hexadecagonal prismatic blend

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Small hexadecagonal prismatic blend | |
---|---|

Rank | 3 |

Type | Orbiform |

Space | Spherical |

Notation | |

Bowers style acronym | Shadpib |

Elements | |

Faces | 6 hexadecagons, 36 squares |

Edges | 24+24+24+48 |

Vertices | 24+48 |

Vertex figures | 24 (4.16.4/3.16/15) |

48 (4.4.16) | |

Measures (edge length 1) | |

Circumradius | |

Dihedral angles | 4-4 (prism laces): 157.5° |

4-16 (prism bases): 90° | |

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

Central density | 3 |

Number of external pieces | 90 |

Level of complexity | 16 |

Related polytopes | |

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

Convex core | Cube |

Abstract & topological properties | |

Flag count | 480 |

Euler characteristic | –6 |

Orientable | No |

Genus | 8 |

Properties | |

Symmetry | B_{3}, order 48 |

Convex | No |

Nature | Tame |

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

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

## Vertex coordinates[edit | edit source]

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