Sandpile Controls
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Rule: If grid[i][j] ≥ 4, topple:
grid[i][j] -= 4
neighbors += 1 each
Identity: The unique stable config e such that for all stable s:
s ⊕ e = s
Computed as: identity = max_stable − (max_stable ⊕ max_stable)
The fractal structure emerges from self-organized criticality — power law avalanche sizes!
grid[i][j] -= 4
neighbors += 1 each
Identity: The unique stable config e such that for all stable s:
s ⊕ e = s
Computed as: identity = max_stable − (max_stable ⊕ max_stable)
The fractal structure emerges from self-organized criticality — power law avalanche sizes!