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 mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Somlai, Gabor mailto [Eotvos Lorand University - ELTE > Algebra]
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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