# m*

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m* | |
---|---|

Rank | 3 |

Type | Acrohedron |

Space | Spherical |

Notation | |

Stewart notation | m* |

Elements | |

Faces | 1+2+2+2+2 triangles, 1+1 squares, 1 pentagon |

Edges | 20 |

Vertices | 10 |

Measures (edge length 1) | |

Surface area | |

Abstract & topological properties | |

Flag count | 80 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | A_{1}×I×I |

Convex | No |

Nature | Tame |

**m*** is a nonconvex polyhedron with all regular faces, and the smallest known non-self-intersecting 5-4-3 acrohedron. It was first described and named by Bonnie Stewart in *Adventures Among the Toroids*, and rediscovered during the search for acrohedra. It can be formed as an outer-blend of m with a pentagonal pyramid.^{[1]}

## External links[edit | edit source]

- Jim McNeill. "5-4-3"

## References[edit | edit source]

- ↑ Stewart (1964:157)

## Bibliography[edit | edit source]

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