Decomposition of balls in Rᵈ
Kiss, Gergely · Somlai, Gábor
Original · EN
We investigate the decomposition problem of balls into finitely many congruent pieces in dimension d=2k. In addition, we prove that the d dimensional unit ball Bd can be divided into finitely many congruent pieces if d=4 or d≥ 6. We show that the minimal number of required pieces is less than 20d if d ≥ 10.
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