Counting triangles that share their vertices with the unit n-cube
Brandts, Jan ; Cihangir, Apo
Applications of Mathematics 2013, GDML_Books, (2013), p. 1-12 / Harvested from
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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 In. 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 In.

EUDML-ID : urn:eudml:doc:287776
Mots clés:
Mots clés: 
@article{702926,
     title = {Counting triangles that share their vertices with the unit $n$-cube},
     booktitle = {Applications of Mathematics 2013},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2013},
     pages = {1-12},
     mrnumber = {MR3204425},
     zbl = {1340.52020},
     url = {http://dml.mathdoc.fr/item/702926}
}

Brandts, Jan; Cihangir, Apo. Counting triangles that share their vertices with the unit $n$-cube, dans Applications of Mathematics 2013, GDML_Books,  (2013), pp. 1-12. http://gdmltest.u-ga.fr/item/702926/