# Tetragonal-antiwedge 8-3 double step prism

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Tetragonal-antiwedge 8-3 double step prism | |
---|---|

Rank | 4 |

Type | Isogonal |

Space | Spherical |

Elements | |

Cells | 16 kite pyramids, 8 tetragonal antiwedges |

Faces | 16+16+16 scalene triangles, 16 kites |

Edges | 8+16+16+16 |

Vertices | 16 |

Vertex figure | Triangular-ridge monotriakis tetragonal antiwedge |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Tetragonal-antiwedge intersected 8-3 bigyrochoron |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I2(8)+×4+×I, order 16 |

Convex | Yes |

Nature | Tame |

The **tetragonal-antiwedge 8-3 double step prism** is a convex isogonal polychoron, formed as a convex hull of two 8-3 step prisms in a way that leaves six corealmic vertices corresponding to a tetragonal antiwedge. It consists of 8 tetragonal antiwedges and 16 kite pyramids, with 3 tetragonal antiwedges and 5 kite pyramids joining at each vertex.

## External links[edit | edit source]

- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".