# Triamond antiprism 2,2

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Triamond antiprism 2,2 | |
---|---|

Rank | 3 |

Type | Convex triamond polyhedron |

Elements | |

Faces | 1 square, 2 trapezoids, 2 triangles |

Edges | 1+2+2+4 |

Vertices | 2+4 |

Measures (minor edge length 1) | |

Volume | |

Surface area | |

Central density | 1 |

Number of external pieces | 5 |

Level of complexity | 9 |

Abstract & topological properties | |

Flag count | 36 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Convex | Yes |

Nature | Tame |

History | |

Discovered by | Roger Kaufman |

The **triamond antiprism 2,2** is a convex triamond polyhedron. It can be made by augmenting a square pyramid with two tetrahedra on opposite triangular faces and combining co-planar faces in the result, or as a section of the triangular cupola.

It has the fewest vertices, faces and edges of any known convex triamond polyhedron.

## Related polytopes[edit | edit source]

The triamond antiprism 2,2 can be augmented with itself along its rhombic face to form another convex triamond polyhedron.

The triamond antiprism 2,2 can augment a triamond triangular cupola section to form the triangular cupola.

## External links[edit | edit source]

- Kaufman, Roger. "Convex Triamond Regular Polyhedra."