Tools

Skip to content

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.

Forward orbit from the seed field. This is not the imported reconstruction.
Stepdradius h·dremainder
0399399/100639958766566422
1135135/100893219131545030
24545/100297739710515010
31515/10099246570171670
455/100699748856723890
511/100339949771344778
600/100—

Integer trajectory complete; radius is zero. That terminal state is a point, not six landmarks.

  1. a = 3.99

  2. a = 1.35

  3. a = 0.45

  4. a = 0.15

  5. a = 0.05

  6. a = 0.01

  7. a = 0

Download the 399 example