Scalable vector triangulations

When I wrote “The tabular method” I drew a figure showing all the ways to triangulate an oriented convex polygon, from the unique way to triangulate a triangle up to the 14 ways to triangulate a hexagon. I drew it by hand using Inkscape, but I felt there was something unsatisfactory about that: if I can write a program to count the triangulations, ( I ought to be able to write a program to draw them! )