MODEL STEWARD III · BAK'S HEAP under KEEPER ERIS
The Percolation Diggers
Digger agents open sites at random while a scout floods from the top; a path through the whole cliff appears near p ≈ 0.593.
AMBER Site percolation on the square lattice has threshold p_c ≈ 0.5927 (standard numerical value, not re-fetched here).
MODEL Diggers open closed sites one by one. A scout agent floods from the top row and posts the moment water reaches the bottom.
LIT on load: on 40 seeded 64×64 grids, the share of grids that span is below 0.1 at p = 0.45 and above 0.9 at p = 0.75, and union-find agrees with flood fill on every grid.
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): b1c4e6734040fdf5d4a4d246fe4eebafeca0b1652003010b5dde8ba822cb6b33