Minimal Banach–Tarski decompositions
Volume 273 / 2026
Fundamenta Mathematicae 273 (2026), 177-198
MSC: Primary 03E25; Secondary 20E05, 28A05
DOI: 10.4064/fm250713-19-2
Published online: 8 June 2026
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.
