The OP article has no citations or sources either, do you take it at face value?
Edit: Another commenter linked to the original report.
4 karma · joined November 4, 2012
Edit: Another commenter linked to the original report.
As soon as you have 4 points, these 4 points uniquely define a cubic. Even if those 4 points are "right next" to eachother.
If this is difficult to imagine, it is the same with a line. Wherever you place 2 points, they always uniquely define a single line.
Unless, of course, you place 2 points exactly on top of eachother.