Reference : Decomposition of balls in R^d |
Scientific journals : Article | |||
Physical, chemical, mathematical & earth Sciences : Mathematics | |||
http://hdl.handle.net/10993/26491 | |||
Decomposition of balls in R^d | |
English | |
Kiss, Gergely ![]() | |
Somlai, Gabor ![]() | |
2016 | |
Mathematika | |
London Mathematical Society | |
62 | |
2 | |
378-405. | |
Yes (verified by ORBilu) | |
International | |
0025-5793 | |
2041-7942 | |
London | |
United Kingdom | |
[en] m-divisibility ; m-divisibility of the balls in Euclidean space | |
[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 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. | |
Researchers | |
http://hdl.handle.net/10993/26491 | |
10.1112/S0025579315000248 | |
The original publication is available at http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=10127966&fileId=S0025579315000248 |
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