Hi Andrei, on your example you can see the differences pretty clearly on the large planar face, notice how with centroid triangulation, the triangulation of that big n-gon takes on a radial structure with an internal point added like this:



Without centroid triangulation, it intead forms triangles by only connecting vertices on the outer n-gon boundary and not generating any extra internal central point, which gives you this instead:




On other areas the difference looks more like this:






Which one is better depends on your particular needs - when it's on it can help make some triangle structures sort of more regular and symmetrical like the big face in this example, and in some cases makes triangles that are kind of more wedge shaped and don't stretch quite as far across a space. But also because it adds an additional internal point it produces a higher polygon count and sometimes having the radial structure in small areas looks kind of strange.

For a while now I've had the default changed to have it off by default but for a long time before that it was on by default.

If you want to fully minimize polygon count you will probably want to turn it off.

If you like the radial structure of the large face shown above and don't mind some additional vertices being added then turn it on instead.

- Michael