Field notes / Experiment guide
When do the important patches become important?
Are a mature tether’s sensitive regions already doing the same job early in the trajectory?
New to these ants? Start here.
An ant moves on a grid of coloured squares. Each colour tells it to turn left (L) or right (R). It advances that square to the next colour, then steps forward. A rule such as RLR is the list of turns, starting at colour zero. On a blank grid the same rule always makes the same trajectory.
Territory means every cell visited so far. Its boundary consists of visited cells with an unvisited neighbour. A highway is a repeating pattern of motion that carries the ant away. A tether means repeated returns to a small home region.
Growing like the cube root of time means taking eight times as many steps to double a linear size. The rotor walker is a comparison model that follows and rotates arrows stored on cells. A seed makes a random starting pattern reproducible; the ant itself can still move deterministically.
We distinguish c, the chance of discovering a cell per boundary step, from kappa (κ), time at the boundary normalized by perimeter divided by area. Explaining their values is harder than using them to account for growth.
The idea under test
If they are permanent return machinery, the same windows should be sensitive in younger colour fields.
What we learned
The tested windows become hot later and are not comparably sensitive at the earliest age, contradicting the simple permanent-set prediction.
What this leaves open
The early null threshold is stricter, so part of the age contrast may come from detectability.
Read the evidence and reproduction recipe ↗
Inside the experiment
Methods, registered predictions, exact commands and saved analysis. These are the working research documents; expand them for the detail behind the introduction.
Methods and original experiment record
e6-hot-window-age
Migrated legacy investigation (2026-10-14). Its files used to sit in the flat data/ directory (and calib/, occ/, snaps/, dumps*, knock* where listed) with the label prefix below; experiments/_migration/map.tsv gives the exact old -> new path of every file. This stub was generated from file names and script docstrings. It is not the original write-up: the question, timestamped hypotheses, commands and results are in notes/ (mainly notes/frontier-results.md, notes/frontier-status.md, notes/research-frontier*.md; search for the label), and the producing command is usually in the script docstring or a run_*.sh here.
Old labels / prefixes: dumps, e6, run
Scripts
scripts/e6_jobs.py: E6 job lists: hot tiles of the 2^24 map (experiments/2026-10-12-knockout-maps/knock/RULE/hot.csv) x fresh permutation seeds 11,12,13, plus 100 swaps (seeds 101.scripts/e6_stats.py: E6: fraction of the 2^24-hot tiles that are hot (fresh permutations) at earlier ages. Design: notes/frontier-2026-10-13-results.md. usage: uv run experiments/20scripts/run_e6.sh: E6: formation of the hot windows. usage (WSL): RAYON_NUM_THREADS=1 bash experiments/2026-10-13-e6-hot-window-age/scripts/run_e6.sh
Results
3 entries in results/ (2 are .log/.done markers); csv/json/txt outputs, *_stats.txt hold the summaries quoted in the notes.
Bulk output (gitignored)
dumps_e6/
Notebook
No committed Jupyter notebook is available for this experiment yet.