An interactive research companion · 30 September 2026
A frozen table of tiny decisions turns a five-cell glider into a trail painter. We damage the pattern, replay the control, and ask what “recovery” can mean when memory is not part of the rule.
Built for the saved Jev 1.13.0 recording and offline Life replays. The animated board below is a classical Conway control or a clearly labelled toy intervention; it never makes a provider call.
Same grid.
Different memory.
“It ultimately takes only very simple rules to produce behavior of great complexity.”
01 / The saved record
These figures come from immutable offline evidence and controlled replay lanes. They are counts and replays of saved artifacts, not a live benchmark and not a biological claim.
The saved `jev-1.13.0` table answered 231 of 512 binary neighborhoods correctly. Separate count controls scored 18 / 18.
In the fixed wave 3 sweep, the exact+ID9 intervention produced 10 moving gliders across 200 labelled damage cases: 2 removals and 8 additions. On the matched bitmap comparison, exact produced 8 / 200; all eight persisted and two more removals recovered.
The same neighborhood ID9 must stay dead on a healthy path yet birth a neighboring cell in one damaged recovery. A memoryless table cannot do both exactly.
Levin / context, not a quotation. Michael Levin’s work makes it natural to ask how local agents coordinate toward a larger form. This lab stays smaller and stricter: a finite digital board, declared rules, fixed damage, and stored evidence.
02 / Replay the question
Choose a rule or control, then use the controls. The board is a synchronous Conway replay unless the label says otherwise. “Stored target” is deliberately circular; “Local variant” is an illustrative rule modifier.
03 / Four ways to read the same word
Use the tabs as a small editorial index. The numbers stay tied to their saved source; the illustrative lanes stay labelled as illustrations.
“Conway chose his rules carefully, after a long period of experimentation.”Martin Gardner · “Mathematical Games,” Scientific American, October 1970
“The first principle is that you must not fool yourself—and you are the easiest person to fool.”Richard P. Feynman · “Cargo Cult Science,” Caltech, 1974
“Every beautiful pattern has a receipt. Check the table.”Original AlexAI aphorism · evidence card
04 / Receipts before romance
This companion is intentionally local. It carries the measurements needed to read the paper, while leaving provider credentials, request bodies, and private runtime details out of the public surface.
Every source label below points to an immutable artifact outside this standalone file. The demo uses no CDN, no API key, and no remote fetch.
A fixed memoryless 3 × 3 table can recover a specific next phase in one saved case, but the local conflict blocks exact preservation and repair simultaneously. Larger spatial context, temporal memory, and independent held-out tests remain open.
“A tidy rule can still make a spectacular mess.”Original AlexAI aphorism · closing card