<html> <head> <script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"> </script> </head> <body> HI, I have a doubt on Freudenthal Triangularization. I want to partition a simplex into finer simplices. The FT gives me the vertices of the simplices which partition my original simplex into finer simplices. I am interested in enumerating over each of the simplices obtained from the FT algorithm. However, I am not able to conclude that given the vertices, how do I construct the dividing simplices out of them. In other words, if the vertices are given to me then how can I find which of these vertices make one of the simplices (that partitioned the original simplex) I believe it might be a simple question with simple solution but I am not able to figure it out. Can you please point me to some reference. Thank You </body> </html>