# G_{3}

**G _{3}** is a non-convex regular faced polyhedron. It was the smallest known 5-4-3 acrohedron until the discovery of m*, which has one face fewer. It was named by Bonnie Stewart in

*Adventures Among the Toroids*, although Stewart was not searching for acrohedra in particular.

G_{3} | |
---|---|

Rank | 3 |

Type | Acrohedron |

Notation | |

Stewart notation | G_{3} |

Elements | |

Faces | 1 + 6 triangles, 3 pentagons, 3 squares |

Edges | 3 + 3 + 3 + 3 + 6 + 6 = 24 |

Vertices | 1 + 3 + 3 + 6 = 13 |

Abstract & topological properties | |

Flag count | 96 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | A_{2}×I, order 6 |

Convex | No |

Nature | Tame |

## Vertex coordinates Edit

The vertex coordinates of a G_{3} with unit edge length are given by:

## External links Edit

- Jim McNeill. "The Stewart G3 and its relations"
- Alex Doskey. "Stewart G
_{3}" - McCooey, David. "Stewart's G3"