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The Secondary Polytope: Digging for Combinatorial links between Triangulations and Polytopes (with

  • Writer: andresfelipehiguera
    andresfelipehiguera
  • Dec 17, 2013
  • 1 min read

We review some of the most important definitions and interesting combinatorial result about triangulations. First, We present a clever connection between the Catalan numbers and the n-gon triangulations. Then, we explore some combinatorial isomorphisms that we can build around triangulations such as Binary trees, parenthesization, and the Associahedron, in order to give a good first look about the subject and it potential. Finally, we generalize the role of the Associahedron introducing the well-known Secondary Polytope.


 
 
 

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