Closed-form damped springs give AI motion weight: stack springs, render any frame

FinanceYF5 · x · 2026-11-10

Step 8 of the tutorial series: the secret to motion that "feels heavy" is closed-form damped springs instead of fixed A-to-B easing curves — accelerate, slightly overshoot, settle. Full spring(t, k, d) code and a step-response chart comparing parameter presets are included.

Key trick: when a value's target changes multiple times, don't restart the animation — stack a new spring per change (accumulated in a track function). Motion stays continuous, and any frame like #812 can be rendered directly — the foundation of a deterministic render pipeline.

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