Recently the most perfect spheres in the world were created as an answer to the "kilogram problem." Made to replace a chunk of platinum and iridium that has defined how much a kilogram weighs for 120 years (the weight of the metal has been changing ever so slowly ) the spheres are about the size of a melon and almost perfectly round. They are likely the most perfectly spherical objects on the planet.
"If you were to blow up our spheres to the size of the Earth, you would see a small ripple in the smoothness of about 12 to 15 mm, and a variation of only 3 to 5 metres in the roundness"
link: Spheres of Influence: A Collection of Spherical Sites - Boing Boing
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