Just think of a line, and think of three points. You go down to the first point, then the second, and at the third the line diverges. Once the line has diverged the old line diverges at each point, but the new line must wait two points.
so we start with 1 line, it goes down to a point. Diverges and so on.
2. (old diverges)
3. (old & 1new diverges)
5. (old and 1new diverges & 2new diverges)
annnd there is gets too complex for me to think in my head...