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I wondered the same thing when I saw the wooden table, which surely has deviations > 10 microns. Possibly there are approximate Gömböc shapes that are "good enough" without being mathematically perfect.


The implication of the result is that all the real "Gömböcs" are really such "almost Gömböcs", since any deviation at all from the correct shape technically destroys it.


Not necessarily: the Gömböc-shape could be a envelope of similar shapes. Any object within that envelope is a Gömböc, and ones just outside it are "almost Gömböcs"


It could be, but it isn't, which is part of what's so interesting about it.

(And that's leaving aside the more fundamental point that the very definition of a Gömböc isn't applicable in the physical world, where objects do not have precisely defined edges and cannot be completely homogenous).




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