# Metabiaugmented hexagonal prism

Jump to navigation
Jump to search

Metabiaugmented hexagonal prism | |
---|---|

Rank | 3 |

Type | CRF |

Notation | |

Bowers style acronym | Mabauhip |

Elements | |

Faces | 2+2+4 triangles, 1+1+2 squares, 2 hexagons |

Edges | 2+2+2+2+2+4+4+4+4 |

Vertices | 2+4+4+4 |

Vertex figures | 2 squares, edge length 1 |

4+4 irregular tetragons, edge lengths 1, 1, √2, √3 | |

4 isosceles triangles, edge lengths (1+√5)/2, √2, √2 | |

Measures (edge length 1) | |

Volume | |

Dihedral angles | 3–4: |

3–6: | |

4–4: 120° | |

3–3: | |

4–6: 90° | |

Central density | 1 |

Number of external pieces | 14 |

Level of complexity | 26 |

Related polytopes | |

Army | Mabauhip |

Regiment | Mabauhip |

Dual | Metalaterobitruncated hexagonal tegum |

Conjugate | Metabiaugmented hexagonal prism |

Abstract & topological properties | |

Flag count | 104 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | K_{2}×I, order 4 |

Convex | Yes |

Nature | Tame |

The **metabiaugmented hexagonal prism** is one of the 92 Johnson solids (J_{56}). It consists of 2+2+4 triangles, 1+1+2 squares, and 2 hexagons. It can be constructed by attaching square pyramids to two non-opposite, non-adjacent square faces of the hexagonal prism.

## Vertex coordinates[edit | edit source]

A metabiaugmented hexagonal prism of edge length 1 has the following vertices:

## External links[edit | edit source]

- Klitzing, Richard. "mabauhip".
- Quickfur. "The Metabiaugmented Hexagonal Prism".

- Wikipedia contributors. "Metabiaugmented hexagonal prism".
- McCooey, David. "Metabiaugmented Hexagonal Prism"