# Tetrakis cuboctahedron: Difference between revisions

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* {{Wikipedia|Tetrakis cuboctahedron}} |
* {{Wikipedia|Tetrakis cuboctahedron}} |
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[[Category:B3 symmetry]] |
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[[Category:Polyhedra with 32 faces]] |

## Latest revision as of 22:06, 6 July 2024

Tetrakis cuboctahedron | |
---|---|

Rank | 3 |

Notation | |

Conway notation | k4aC |

Elements | |

Faces | |

Edges | 24+24 |

Vertices | 6+12 |

Vertex figure | |

Measures (edge length 1) | |

Central density | 1 |

Number of external pieces | 32 |

Level of complexity | 4 |

Related polytopes | |

Army | Tetrakis cuboctahedron |

Regiment | Tetrakis cuboctahedron |

Dual | Chamfered cube |

Conjugate | None |

Abstract & topological properties | |

Flag count | 192 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | B_{3}, order 48 |

Flag orbits | 4 |

Convex | Yes |

Nature | Tame |

The **tetrakis cuboctahedron** is a convex polyhedron. It has 32 triangular faces: 24 isosceles triangles and 8 equilateral triangles.

It is topologically equivalent to an octahedron with each of its edges bisected and new edges created between the new vertices, thus dividing the faces into four smaller triangles.

## External links[edit | edit source]

- Wikipedia contributors. "Tetrakis cuboctahedron".