| Title:
|
Counting triangles that share their vertices with the unit $n$-cube (English) |
| Author:
|
Brandts, Jan |
| Author:
|
Cihangir, Apo |
| Language:
|
English |
| Journal:
|
Applications of Mathematics 2013 |
| Volume:
|
Proceedings. Prague, May 15-17, 2013 |
| Issue:
|
2013 |
| Year:
|
|
| Pages:
|
1-12 |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is about $0/1$-triangles, which are the simplest nontrivial examples of $0/1$-polytopes: convex hulls of a subset of vertices of the unit $n$-cube $I^n$. We consider the subclasses of right $0/1$-triangles, and acute $0/1$-triangles, which only have acute angles. They can be explicitly counted and enumerated, also modulo the symmetries of $I^n$. (English) |
| Keyword:
|
$0/1$-triangle |
| Keyword:
|
$0/1$-polytope |
| Keyword:
|
$0/1$-equivalence |
| MSC:
|
05A15 |
| MSC:
|
52B05 |
| idZBL:
|
Zbl 1340.52020 |
| idMR:
|
MR3204425 |
| . |
| Date available:
|
2017-02-14T09:12:48Z |
| Last updated:
|
2017-03-20 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702926 |
| . |
