Finite open-boundary study · deterministic · zero network

Abelian sandpile art studio

Stabilize the same addition under queue and stack schedules. The edition unlocks only when integer heights, legality, conservation, deterministic replay, and equal final state plus odometer all pass.

Edition recipe

Ready to stabilize a bounded center addition.

Bounds and truth boundary

Odd grids 9–65, at most 100,000 added grains, fixed four-neighbor open boundaries, and a hard maximum of 1,000,000 legal topplings per schedule. Incomplete runs never unlock edition export.

This is a bounded square-grid mathematical and artistic study—not physical sand, universality evidence, or a critical-exponent experiment.

Stabilized edition and proof

Run the studio to calculate conservation.

Mutation fixtures

    Truth boundary: proof applies to the declared finite grid, legal schedules, deterministic preset, and completed work beneath the cap. Style does not alter the state hashes.