We can follow the same procedure as below onset to demonstrate to the scaling to a universal function. At the 2 n+1 to 2 n band merging point we look at the iterate
) n.
| Band | Iterate | Unscaled | Scaled |
| 4 to 2 | f 2 | ||
| 8 to 4 | f 4 | ||
| 16 to 8 | f 8 |
The scaled function approaches a "universal band filling chaos function".
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