AAAAAAAHHHH!!!!!
All of them are occupying the same space.
Think of the research tree as a grid.
[0, 0] [1, 0] [2, 0]
[0, 1] (^all of your research is in this box) [1, 1] [2, 1]
[0, 2] [1, 2] [2, 2]
Only one research button per position. Apparently having two in the same position will not cause a minidump, but will not work.
The first number is for the distance from the left.
The second number is for the distance from the top of the individual research block.
The number starts at 0, so tier 1 or position 1 would really be tier or position 2
The actual number of labs required is the TIER assignment value. For example, tier 0 only requires 1 lab to research.
The position only really indicates what tier the research is in, not how many it needs. You could have a Tier 7 research in position 0 on the left, it does not matter. Does this make sense?