References of "Mathematika"
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See detailDecomposition of balls in R^d
Kiss, Gergely UL; Somlai, Gabor

in Mathematika (2016), 62(2), 378-405

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 B_d can be divided into finitely many ... [more ▼]

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 B_d 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. [less ▲]

Detailed reference viewed: 66 (3 UL)
Full Text
Peer Reviewed
See detailDecomposition of balls into finitely many pieces
Kiss, Gergely UL; Laczkovich, Miklos

in Mathematika (2011), 57(1), 89-107

Detailed reference viewed: 66 (4 UL)