1
2
2 2
3
2 2 2
3 2
3 2 2
3 3
3 3 2
4
3 3 3
4 3
4 3 3
4 4
4 4 3
5
4 4 4
...

1)  never name more than three ranks at once
2)  never name group sizes that differ by 2
3)  2 * n < n+1 < 3 * n
3') n+1 is less than n n n by epsilon
4)  a single can only be named by itself