pi is an interesting number - so is that fact that social groups are structured around tiers of trust, centered on each person with nearest trust group being kith and kin, and then
close friends etc...the degree of this graph is something like 3.x (e.g.
somewhere at 5 hops (3.x^5) you reach the limit of human's ability to infer intentionality
this tells us that a social networking tool (TM) should be built around making levels
and group at each power visible and should change how it supports people outside of 5 hops and groups larger than 150 or so...
i think such a tool could be called piety since that has PI in it and should be easy peasy to use
ageing (churn in friendship groups) could determine when fols are evicted from the close circle of friends into the outer darkness of cyberspace (or facebook:) and
frequency and duration of contacts (including email/IM, co-location) can be used to include people in...
coud make a nice startup:)