Shreyashvekariya/Gravitydots — reverse-engineered prompt

Build me a simple polished website called Gravitydots using the existing Vite project. I’m imagining an interactive visual page where lots of small dots move around like they’re affected by gravity, with smooth motion and a clean modern look.

When someone opens it, they should immediately see the animation, with a short title and a tiny bit of text explaining what it is. It should feel fun and lightweight, not like a full dashboard. If possible, let the mouse or touch position attract or disturb the dots so it feels alive. Add a simple control or two, like reset, pause, or changing the strength, but keep it minimal and easy to understand.

Make it responsive so it works nicely on desktop and phone. Keep the styling neat in CSS, with a dark background and bright dots unless you think another style looks better. Please wire everything up so it runs locally with the current project setup, and look up current docs online if you need to.