# Apeirogonal antiprism pseudoprismatic honeycomb

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Apeirogonal antiprism pseudoprismatic honeycomb | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Euclidean |

Notation | |

Bowers style acronym | Squathap |

Coxeter diagram | xØo2s2s∞o () |

Elements | |

Cells | N triangular prisms, 2 square tilings |

Faces | triangles, squares of two orbits |

Vertex figure | Hexagonal bipyramid cut in half perpendicularly to equator |

Related polytopes | |

Army | * |

Regiment | * |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Convex | Yes |

Nature | Tame |

The **apeirogonal antiprism pseudoprismatic honeycomb** is a uniform Euclidean honeycomb. It consists of 2 square tilings and ∞ triangular prisms. Each vertex joins 1 square tiling and 6 triangular prisms.

This honeycomb was formerly known as **square tiling hemiantiprism**, from which the acronym "squathap" was derived.

It can be constructed from the comb product of the apeirogon and the apeirogonal antiprism by blending adjacent apeirogonal prisms into square tilings.

It can also be constructed as comb(x∞o, x∞o) || comb(x∞o, o∞x), using Klitzing's atop notation.

## External links[edit | edit source]

- Wikipedia contributors. "Convex uniform honeycomb#Frieze forms".