# Pentagrammic toroprism

The **pentagrammic toroprism** is an isogonal polyhedron. It consists of 5 rectangles and 10 isosceles triangles. Each vertex joins 2 rectangles and 3 triangles. It is the blend of a pentagrammic prism and a pentagrammic antiprism.

Pentagrammic toroprism | |
---|---|

Rank | 3 |

Type | Isogonal |

Elements | |

Faces | 10 isosceles triangles, 5 rectangles |

Edges | 5+10+10 |

Vertices | 10 |

Vertex figure | Mirror-symmetric pentagon |

Related polytopes | |

Army | Pip |

Conjugate | Pentagonal toroprism |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Genus | 1 |

Properties | |

Symmetry | H_{2}×A_{1}, order 20 |

Convex | No |

Nature | Tame |

It appears as the vertex figure of frox, froghi, frogshi, and frogfix.