| | I had to sanction the geeky quote. Metcalfe presents a valid idea that for n nodes, the number of potential connections is on the order of n^2.
In reality many of those potential connections - be it internet or interpersonal - will go unused, so the real value will be somewhere between n and n^2. Whether it's even proportional to n^2 is debatable, but saying it was in proportion to something else like n*log(n) wouldn't have made for a very catchy quote.
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