How does antigravity.google create its background animation effect using Three.js, and how can I reproduce something similar (likely using math-based animations)?

I'm trying to understand how the background animation on antigravity.google is implemented. I can see that the site uses Three.js, but I'm looking for more details about how this kind of effect is typically built.

It looks like the animation relies on mathematical formulas (waves, noise, oscillations, particle motion, etc.) to create smooth dynamic movement. What I would like to know is: What general techniques or components are used to create this type of animated 3D background?

Are these effects usually made with particle systems, shaders, or custom math functions (e.g., Perlin noise, sine waves, vector fields)? What are some examples, tutorials, or code snippets that show how to achieve a similar math-driven effect in Three.js? Any guidance or sample code would be greatly appreciated.

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Already delegated this task to my Cursor, let's see. :)

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