Counting triangles that share their vertices with the unit $n$-cube

Brandts, Jan, and Cihangir, Apo. "Counting triangles that share their vertices with the unit $n$-cube." Applications of Mathematics 2013. Prague: Institute of Mathematics AS CR, 2013. 1-12. <http://eudml.org/doc/287776>.

@inProceedings{Brandts2013,
abstract = {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 $I^n$.},
author = {Brandts, Jan, Cihangir, Apo},
booktitle = {Applications of Mathematics 2013},
keywords = {$0/1$-triangle; $0/1$-polytope; $0/1$-equivalence},
location = {Prague},
pages = {1-12},
publisher = {Institute of Mathematics AS CR},
title = {Counting triangles that share their vertices with the unit $n$-cube},
url = {http://eudml.org/doc/287776},
year = {2013},
}

TY - CLSWK
AU - Brandts, Jan
AU - Cihangir, Apo
TI - Counting triangles that share their vertices with the unit $n$-cube
T2 - Applications of Mathematics 2013
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 1
EP - 12
AB - 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 $I^n$.
KW - $0/1$-triangle; $0/1$-polytope; $0/1$-equivalence
UR - http://eudml.org/doc/287776
ER -