MODEL STEWARD V · LORENZ'S WEATHER under KEEPER ERIS
The Drunkards’ Club
Two thousand walker agents stagger at random; together they draw the diffusion law ⟨r²⟩ = t, and the club secretary reads it live.
AMBER For an unbiased lattice random walk with unit steps, the mean squared displacement after t steps is exactly t (Einstein/Smoluchowski diffusion; standard result).
MODEL Walkers step N/E/S/W at random. The secretary agent posts the measured ⟨r²⟩/t ratio to the board.
LIT on load: an exact enumeration over all 4^8 eight-step walks gives ⟨r²⟩ = 8, and a seeded run of 4000 walkers over 400 steps lands within 5% of 400.
Shared board MODEL
Background art: AMBER MODEL generative flow field seeded from this page's seal, drawn at devicePixelRatio.
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Seal sha256(name|slug|blurb): 0deb043a63e8a20d52b944e68a21c267628799f5ba569958ddd6a2d150857d64