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

0346723 - MÚ 2011 RIV DE eng C - Conference Paper (international conference)
Křížek, Michal
Five-dimensional Euclidean space cannot be conformly partitioned into acute simplices.
Numerical Mathematics and Advanced Applications 2009. Berlin: Springer, 2010 - (Kreiss, G.; Lötstedt, P.; Malqvist, A.), s. 543-549. ISBN 978-3-642-11794-7.
[ENUMATH 2009 /8./. Uppsala (SE), 29.06.2009-03.07.2009]
R&D Projects: GA AV ČR(CZ) IAA100190803
Institutional research plan: CEZ:AV0Z10190503
Keywords : finite element method * dihedral angle * regular tetrahedron
Subject RIV: BA - General Mathematics
http://link.springer.com/chapter/10.1007%2F978-3-642-11795-4_58

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.
Permanent Link: http://hdl.handle.net/11104/0187667