I am looking for a triangulation of a n-dimensional simplex such that all sub-simplices are of comparable size, and are "as close as possible" to a regular simplex : the latter property could be formalized as "the minimum n-dimensional angle is bounded away from 0, uniformly in the size of the triangulation". 
I have read that the Delaunay triangulation had this kind of properties, but I did not find quantitative results about it, like lower bounds on the minimum angle. 

Thank you!