"Root" makes it sound like the purpose of building the very nice step well is to prove a mathemathical point. I'd venture to say its primary purpose had something to do with water.
Patterns and repetition is what I see beyond that, which are fairly prevalent in art and architecture exactly because you can get to them by simple experimentation.
Got it. I volunteer to move out of this discussion because you could have as well said that primary purpose of stairs had something to do with going up or down?
Most architecture around the world from Eiffel tower to Pyramids to Angkorvat has something to do with proving a point. Usually the point is that 'we have achieved this engineering marvel, we have the capability to build this'.
By your logic people possibly got to Eiffel tower or Golden gate by simple pattern and repetition, even experimentation, devoid of any math. That's just plain stupid.
Of course math is involved. But those things were not built for the sake of math, their "roots" are in their respective functions (building something impressive, something religious, or crossing a bay).
Edit: I just checked your [4] http://en.wikipedia.org/wiki/Adam%27s_Bridge reference. You seem to be saying that this geological formation ("transoceanic bridge") is about mathematics too, implying it's man-made. If that's the case, we're playing by different rules of what "logic" means, and our discussion is completely pointless, no offense intended.
Yes, there isn't a proof that the bridge in question is man-made. I deliberately put it up there. GSI claims it 'may be man-made' but it stops at that. Here is something you might want to look at: Search about 'floating rocks of India' (Pumice rocks) that have specific gravity lower than sea water.
Once you dig deep into some of it, read through Ramayana and also dive into history of Sri Lanka, I am sure you'll find something really interesting. That's why in the parent comment I wished someone undertook the journey to capture and record "everything" that needs to be explored of history over there.