From binary cube triangulations to acute binary simplices

Authors
Publication date 2012
Host editors
  • J. Brandts
  • J. Chleboun
  • S. Korotov
  • K. Segeth
  • J. Šístek
  • T. Vejchodský
Book title Proceedings of the International Conference Applications of Mathematics 2012: in honor of the 60th birthday of Michal Křížek
ISBN
  • 9788085823608
Event International Conference Applications of Mathematics 2012
Pages (from-to) 31-42
Publisher Prague: Institute of Mathematics, Academy of Sciences of the Czech Republic
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract Cottle's proof that the minimal number of 0=1-simplices needed to triangulate the unit 4-cube equals 16 uses a modest amount of computer generated results. In this paper we remove the need for computer aid, using some lemmas that may be useful also in a broader context. One of the 0=1-simplices involved, the so-called antipodal simplex, has acute dihedral angles. We continue with the study of such acute binary simplices and point out their possible relation to the Hadamard determinant problem.
Document type Conference contribution
Language English
Published at http://am2012.math.cas.cz/proceedings/contributions/brandts.pdf
Downloads
From_binary_cube.pdf (Final published version)
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