Three minutes
From a shape to a record
The marked construction supplies a scale. The rational floor map stores enough remainders to recover that integer scale. The record also keeps the pose, because a remainder list cannot invent a placement.
- Specify the one-arcsecond seed and the golden feet.
- Choose an integer radius count, here 399, and a scale unit 1/100.
- Store the remainders, not a rounded decimal trail.
- Import the record somewhere that does not remember 399, and recover it.