Decomposition of balls in R^d

Reference : Decomposition of balls in R^d


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/26491

Title :	Decomposition of balls in R^d
Language :	English
Author, co-author :	Kiss, Gergely [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
	Somlai, Gabor [Eotvos Lorand University - ELTE > Algebra]
Publication date :	2016
Journal title :	Mathematika
Publisher :	London Mathematical Society
Volume :	62
Issue/season :	2
Pages :	378-405.
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0025-5793
e-ISSN :	2041-7942
City :	London
Country :	United Kingdom
Keywords :	[en] m-divisibility ; m-divisibility of the balls in Euclidean space
Abstract :	[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.
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/26491
DOI :	10.1112/S0025579315000248
Mentions required by the publisher for OA :	The original publication is available at http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=10127966&fileId=S0025579315000248

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