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

Open Access
Authors
Publication date 2013
Host editors
  • J. Brandts
  • S. Korotov
  • M. Křížek
  • J. Šístek
  • T. Vejchodský
Book title Proceedings of the International Conference Applications of Mathematics 2013: Prague, May 15-17, 2013: in honor of the 70th birthday of Karel Segeth
ISBN
  • 9788085823615
Event Applications of Mathematics 2013
Pages (from-to) 1-12
Publisher Prague: Institute of Mathematics, Academy of Sciences of the Czech Republic
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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 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.
Document type Conference contribution
Language English
Published at http://www.math.cas.cz/~am2013/proceedings/contributions/brandts.pdf
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