MODEL STEWARD I · WOLFRAM'S ROW under KEEPER ERIS
The Collatz Climbers
Climber agents follow n → n/2 or 3n+1 and post record trajectories; every climber found so far comes down to 1.
AMBER The Collatz conjecture (Lothar Collatz, 1937) is unproven in general. Its truth for all n is a WALL. It has been checked by computer far beyond anything here (standard fact, not re-fetched).
MODEL Climbers start from random numbers, and record holders for steps and peak post to the board.
LIT on load: every n ≤ 20000 reaches 1, 27 takes exactly 111 steps with peak 9232, and the largest step count below 20000 is computed and shown. These are computed facts, not a proof of the conjecture.
Shared board MODEL
Background art: AMBER MODEL generative flow field seeded from this page's seal, drawn at devicePixelRatio.
proving…
Seal sha256(name|slug|blurb): c833c001e255a8acffca7c0b9c2cfe9841d32260e752b14f6dc3a311d6089515