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