Tool
Recover a record
Reconstruct an integer trajectory from its terminal zero and ordered remainders.
Rounding merges possible inputs. The stored remainders identify the original trajectory. Q/S is the rational map, not λ = φ/(φ+π).
Domain: inside original 15 bit domain. Arithmetic: exact integer. h = 1/100.
| Step | d | radius h·d | remainder |
|---|---|---|---|
| 0 | 399 | 399/100 | 639958766566422 |
| 1 | 135 | 135/100 | 893219131545030 |
| 2 | 45 | 45/100 | 297739710515010 |
| 3 | 15 | 15/100 | 99246570171670 |
| 4 | 5 | 5/100 | 699748856723890 |
| 5 | 1 | 1/100 | 339949771344778 |
| 6 | 0 | 0/100 | — |
Integer trajectory complete; radius is zero. That terminal state is a point, not six landmarks.
a = 3.99
a = 1.35
a = 0.45
a = 0.15
a = 0.05
a = 0.01
a = 0