Minimal Banach-Tarski decompositions
classification
🧮 math.LO
math.GR
keywords
ballbanach-tarskicongruentcopiesdecompositionsdividingfindingform
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We investigate the problem of finding the minimum number of pieces necessary for dividing a three-dimensional sphere or a ball and reassembling it to form $n$ congruent copies of the original object, generalising a known result by Raphael Robinson.
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