Minimal Banach–Tarski decompositions

  • Straffelini C
  • Zambanini K
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Abstract

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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Straffelini, C., & Zambanini, K. (2026). Minimal Banach–Tarski decompositions. Fundamenta Mathematicae. https://doi.org/10.4064/fm250713-19-2

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