DECOMPOSITION OF BALLS IN R-d

作者:Kiss Gergely*; Somlai Gabor*
来源:Mathematika, 2016, 62(2): 378-405.
DOI:10.1112/S0025579315000248

摘要

We investigate the problem of the decomposition of balls into a finite number of congruent pieces in dimension d = 2k. In addition, we prove that the d-dimensional unit ball B-d can be divided into a finite number of congruent pieces if d = 4 or d >= 6. We show that the minimal number of required pieces is less than 20d, if d >= 10.

  • 出版日期2016

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