# Snub tetrahedron

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Snub tetrahedron | |
---|---|

Rank | 3 |

Type | Isogonal |

Notation | |

Bowers style acronym | Snit |

Coxeter diagram | s3s3s () |

Elements | |

Faces | 4+4 triangles, 12 scalene triangles |

Edges | 6+12+12 |

Vertices | 12 |

Vertex figure | Irregular pentagon |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Army | Snit |

Regiment | Snit |

Dual | Tetartoid |

Conjugate | Retrosnub tetrahedron |

Abstract & topological properties | |

Flag count | 120 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | A_{3}+, order 12 |

Flag orbits | 10 |

Convex | Yes |

Nature | Tame |

The **snub tetrahedron** (OBSA: **snit**) is a convex isogonal polyhedron that is a variant of the icosahedron with chiral tetrahedral symmetry. It has 2 sets of 4 equilateral triangles of generally different sizes, along with 12 scalene triangles, for faces.

It can generally be formed by alternating a great rhombitetratetrahedron.

If the two sets of triangles are of equal length it can be called a pyritohedral icosahedron.