This figure can be constructed by removing the corners of a cube,

in such a way that the vertices of the resulting triangle are the

midpoints of the edges of the cube that contain that vertex.

Click here to see this construction.

It can also be constructed as a truncating a regular octahedron.

Click here to see this construction.

This figure has the same group of symmetries as the cube (or the octahedron).

Go back: |
View other examples: |
---|---|

Back to the JGV homepage. | Cube |

Octahedron | |

Back to the Math5282/3/4 class homepage | Tetrahedron |

Interlocked tetrahedra | |

Back to the Math3113 class homepage | Two tetrahedra inscribed in a cube |

Icosahedron | |

Back to my homepage | Dodecahedron |

A cube inscribed in a dodecahedron | |

Truncated octahedron | |

Truncated tetrahedron | |

Truncated cube | |

Truncated icosahedron | |

Truncated cube / octahedron |

*I made this page by substituting my own data in a *Geometry Center *webpage.*

Prof. Joel Roberts

School of Mathematics

University of Minnesota

Minneapolis, MN 55455

USA

Office: 351 Vincent Hall

Phone: (612) 625-1076

Dept. FAX: (612) 626-2017

e-mail: `roberts@math.umn.edu
http://www.math.umn.edu/~roberts
`