How One Developer Built Procedural Web Animations as Reusable Mathematical Functions

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A developer building a tool called Limot rethought web animation by treating each frame as a pure function of time and parameters rather than a fixed asset like a GIF or video. This architecture allows the same renderer to power browser previews, React or Vue components, PNG exports, and video encoding without modification. The approach relies on geometric techniques such as Fibonacci sphere distribution to place particles evenly on a 3D surface while avoiding random clustering. Depth sorting and perspective projection are then used to simulate volume and three-dimensional motion on a flat canvas. The developer also addresses uneven particle speed on curved paths by building arc-length lookup tables to maintain constant apparent velocity along parametric curves.

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ProgrammingDEV Community ·

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