Without looking at the code it may be hard to comment but just one point cannot be really producing any tesselation. However, here are some simple test cases that may work.

2 points will give you a bisecting line - So no triagulations
3 points the side bisectors of the triangle meeting at a point called circumcenter - 1 triangle at the circumcenter.
4 points in a rectangle would split the region into 2-D axis like coordinate axis. - 2 triangles at one diagonal.

Once you can be a bit certain then you may try 10 point case. Will suggest to provide well defined numbers first before trying random numbers.