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 1517, 2013 
Issue:

2013 
Year:


Pages:

112 
. 
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:

20170214T09:12:48Z 
Last updated:

20170320 
Stable URL:

http://hdl.handle.net/10338.dmlcz/702926 
. 