The model must be autoregressive. It receives a token sequence as input and predicts the next token. Output digits are generated one at a time, with each new token fed back as input for predicting the next. The carry propagation must emerge from this autoregressive process — not from explicit state variables passed between steps in Python.
theguardian.com
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The tree is rebuilt every frame. For scenes of this scale, quadtree construction is fast enough to rebuild from scratch each frame, though larger simulations may benefit from incremental updates. Each particle queries its neighborhood for potential collisions, typically checking only 5 to 15 candidates instead of all 40. Red highlights indicate colliding pairs.
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