The connector catalogue is the integration industry’s proudest number — and its quiet death sentence.
With N systems, the connections people actually want grow on the order of N². Ten systems → ~45 possible connections. A hundred → nearly five thousand. Connector-building grows in a straight line behind that demand.
So demand climbs as a square; supply trudges up as a line. They look close when N is small. Then the gap opens into the integration backlog — and you don’t grow out of it. You grow into it.
You can’t hire your way out either. More engineers raise the slope of a line racing a square. The only escape is a different exponent: comprehend each system once (N) and get the quadratic web as a consequence.
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