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   Decomposition of balls in R^dKiss, Gergely  ; 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)Decomposition of balls into finitely many piecesKiss, Gergely ; in Mathematika (2011), 57(1), 89-107 Detailed reference viewed: 66 (4 UL) |
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