Minimal Banach-Tarski Decompositions
Logic
2025-07-24 v1 Group Theory
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 congruent copies of the original object, generalising a known result by Raphael Robinson.
Cite
@article{arxiv.2507.17517,
title = {Minimal Banach-Tarski Decompositions},
author = {Cesare Straffelini and Kilian Zambanini},
journal= {arXiv preprint arXiv:2507.17517},
year = {2025}
}
Comments
18 pages