No cell selected. Click a cell on the board to select it.
Cycle Controls
Computing x-cycle...
Usage: Navigate between x-cycle elements using Prev/Next. The Cycle button rotates through p-cycle members.
Conservation Law Controls
ℹ️ Learn More: Force Conservation Analogy
The board can be considered to be suffused with an electric field whose strength at position .
Each pebble carries a unit charge: white = +1, black = -1.
The net charge at square (positive, negative, or zero).
The electric force at each square equals charge × field strength = .
Across the entire board, the net force is always zero:
All operations preserve this force conservation — they rearrange charges without changing the net force.
Conservation Laws
Distribution Controls
Automation Controls
(0=exploit, higher=explore)
Keyboard shortcuts: Keys apply operations with 1 pebble. Hold Shift to use maximum available pebbles.
Spread mode: Automatically repeats Left/Up operations to reduce multiples to singletons.
History Controls
Usage: Use Undo/Redo to navigate changes, Reset to return to initial state, Animate to replay history step-by-step.
Action Statistics
Entropy & Force Analysis
Polynomial Representation
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