Construct six disks of the same size each touching the other four. |

Construct four disks of the same size each touching the other three. |

Construct eight spheres of the same size each touching the other three. |

Construct four spheres of the same size each touching the other three. |

Construct six spheres of the same size each touching the other four. |

Construct twelve spheres of the same size each touching the other five. |

Construct twenty spheres of the same size each touching the other three. |

Construct the hyperboloid of one sheet: |

Color the two halves of the hyperboloid of one sheet as thus: |

Combining one half of the hyperboloid of one sheet with its reflection along the straight line boundary to form this surface: |

Construct the hyperbolic hyperboloid by sweeping the line segment with endpoints [u, u, 1] and [u, -u, -1] as u ranges over the interval [-1, 1]. |

Construct one-half of a solid cube with one boundary formed by the hyperboloid. |

Construct a regular tetrahedron together with the edges of a cube whose vertices includes all the vertices of the tetrahedron. |

Construct a regular hexagon cross-section of the cube. |