| Title:
|
From binary cube triangulations to acute binary simplices (English) |
| Author:
|
Brandts, Jan |
| Author:
|
van den Hooff, Jelle |
| Author:
|
Kuiper, Carlo |
| Author:
|
Steenkamp, Rik |
| Language:
|
English |
| Journal:
|
Applications of Mathematics 2012 |
| Volume:
|
Proceedings. Prague, May 2-5, 2012 |
| Issue:
|
2012 |
| Year:
|
|
| Pages:
|
31-42 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
$0/1$-simplex |
| Keyword:
|
acute simplex |
| Keyword:
|
Hadamar determinant problem |
| Keyword:
|
binary cube triangulations |
| MSC:
|
65D18 |
| idZBL:
|
Zbl 1313.65032 |
| idMR:
|
MR3204398 |
| . |
| Date available:
|
2017-02-14T08:57:42Z |
| Last updated:
|
2017-04-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702890 |
| . |
