# P''

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P'' | |
---|---|

Rank | 3 |

Type | Stewart toroid |

Notation | |

Stewart notation | P'' |

Elements | |

Faces | |

Abstract & topological properties | |

Flag count | 480 |

Orientable | Yes |

Genus | 1 |

Properties | |

Symmetry | (I_{2}(10)×A_{1})/2, order 10 |

Flag orbits | 48 |

Convex | No |

**P''** is a Stewart toroid. Its vertices lie in two parallel planes, making it a prismatoid.

## Vertex coordinates[edit | edit source]

This polytope is missing vertex coordinates. (June 2024) |

## Related polytopes[edit | edit source]

P'' can be found as a section of P*. The vertices and edges of P'' are a subset of those of P*, and all but the pentagonal faces of P'' are faces P*. P* can be built then as the outer blend of 1 P'', 2 oriental hats, and 10 Cs.

A dodecahedron can fit in the tunnel of P'', with the two polyhedra touching exactly along a Petrie polygon of the dodecahedron.

## References[edit | edit source]

- Stewart, Bonnie (1964).
*Adventures Amoung the Toroids*(2 ed.). ISBN 0686-119 36-3.

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