From binary cube triangulations to acute binary simplices

Brandts, Jan, et al. "From binary cube triangulations to acute binary simplices." Applications of Mathematics 2012. Prague: Institute of Mathematics AS CR, 2012. 31-42. <http://eudml.org/doc/287847>.

@inProceedings{Brandts2012,
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.},
author = {Brandts, Jan, van den Hooff, Jelle, Kuiper, Carlo, Steenkamp, Rik},
booktitle = {Applications of Mathematics 2012},
keywords = {$0/1$-simplex; acute simplex; Hadamar determinant problem; binary cube triangulations},
location = {Prague},
pages = {31-42},
publisher = {Institute of Mathematics AS CR},
title = {From binary cube triangulations to acute binary simplices},
url = {http://eudml.org/doc/287847},
year = {2012},
}

TY - CLSWK
AU - Brandts, Jan
AU - van den Hooff, Jelle
AU - Kuiper, Carlo
AU - Steenkamp, Rik
TI - From binary cube triangulations to acute binary simplices
T2 - Applications of Mathematics 2012
PY - 2012
CY - Prague
PB - Institute of Mathematics AS CR
SP - 31
EP - 42
AB - 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.
KW - $0/1$-simplex; acute simplex; Hadamar determinant problem; binary cube triangulations
UR - http://eudml.org/doc/287847
ER -