From binary cube triangulations to acute binary simplices.

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Jazyk: angličtina
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Druh dokumentu: Non-fiction
Abstrakt: 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.
Databáze: Katalog Knihovny AV ČR