Mathematical Experiment 11
| Construct a regular tetrahedron together with sphere tangent to its edges. |
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| Construct the part of the sphere in the above problem inside the tetrahedron |
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| Construct a cube together with sphere tangent to its edges. |
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| Construct the part of the sphere in the above problem inside the cube. |
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| Arrange six identical "caps" of a sphere as thus: |
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| Four mutually tangent spheres of the same size, cutoff by planes determined by each triplets of points of tangency. |
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