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Five-dimensional Euclidean space cannot be conformly partitioned into acute simplices

SYSNO ASEP	0346723
Document Type	C - Proceedings Paper (int. conf.)
R&D Document Type	Conference Paper
Title	Five-dimensional Euclidean space cannot be conformly partitioned into acute simplices
Author(s)	Křížek, Michal (MU-W)_{RID, SAI, ORCID}
Source Title	Numerical Mathematics and Advanced Applications 2009. - Berlin : Springer, 2010 / Kreiss G. ; Lötstedt P. ; Malqvist A. - ISBN 978-3-642-11794-7
Pages	s. 543-549
Number of pages	7 s.
Action	ENUMATH 2009 /8./
Event date	29.06.2009-03.07.2009
VEvent location	Uppsala
Country	SE - Sweden
Event type	WRD
Language	eng - English
Country	DE - Germany
Keywords	finite element method ; dihedral angle ; regular tetrahedron
Subject RIV	BA - General Mathematics
R&D Projects	IAA100190803 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000395207900058
DOI	10.1007/978-3-642-11795-4_58
Annotation	We prove that a point in the Euclidean space R5 cannot be surrounded by a finite number of acute simplices. This fact implies that there does not exist a face-to face partition of R5 into acute simplices.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2011

Number of the records: 1