As you can see from the video this techniques doesn't involve any complex formulas, just a battle between two forces (Repel,attract) while changing the size depending on the underneath color. I did a small trick here to make the simulation faster where I forced the color check to occur only every five frames instead of everyone. And forces only happen in a certain range so each particle will only interact with a couple of its neighbors in range.
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Regards Alaa Al Nahlawi