Metaphyz
Lego Icosahedron
en.wikipedia.org/wiki/Icosahedron
Made out of 30 Technic pins and 12 2x2 dishes.
Though I don't have 12 4x4 dishes on hand, I believe that if one was attached to each of the shown 2x2 dishes it would form a remarkably spherical sphere. Also, if you used friction pins and double connectors you could essentially double the length of the technic pins and significantly enlarge the shape, and could then cover it with 6x6 dishes. Similar adjustments could be used for larger dish sizes.
Now to find a use for it...
Lego Icosahedron
en.wikipedia.org/wiki/Icosahedron
Made out of 30 Technic pins and 12 2x2 dishes.
Though I don't have 12 4x4 dishes on hand, I believe that if one was attached to each of the shown 2x2 dishes it would form a remarkably spherical sphere. Also, if you used friction pins and double connectors you could essentially double the length of the technic pins and significantly enlarge the shape, and could then cover it with 6x6 dishes. Similar adjustments could be used for larger dish sizes.
Now to find a use for it...