Lingua Franca · Scene 07
The N×N problem
A connector catalogue grows in a straight line. The relationships people actually want grow closer to the square. That gap becomes backlog, consulting days, and a roadmap that never catches up.
10 systems · 45 possible relationships
Connectors scale with N. Relationships scale with N×(N−1)/2.
| Systems | Possible relationships |
|---|---|
| 2 | 1 |
| 5 | 10 |
| 10 | 45 |
| 20 | 190 |
| 50 | 1,225 |
| 100 | 4,950 |
| 200 | 19,900 |