# Prize substitute

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Prize substitute | |
---|---|

Rank | 3 |

Type | Acrohedron |

Notation | |

Stewart notation | A_{5}''m^{-2} |

Elements | |

Faces | 2 pentagons, 4 squares, 2+4+4 triangles |

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

Vertices | 1+1+2+2+2+2+2+2 |

Abstract & topological properties | |

Euler characteristic | 2 |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | K_{2}×I, order 4 |

Convex | No |

The **prize substistute** or **A _{5}''m^{-2}** is a non-convex polyhedron with regular faces. It is an example of a 5-4-3 acrohedron. It can be made by excavating two ms from A

_{5}''. It has the fewest faces of any polyhedron in the cult of the double-ess-five.

## Bibliography[edit | edit source]

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