How to make this pattern?

Support Particles and Physics Simulations
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How to make this pattern? Particle system? How to make not intersect objects?

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You will need to make it by hand, because it’s not procedural. Sculpt and Bake.

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I think I would model the two shapes. Then duplicate them (500 times?) and use physics (active rigged body and a plane with passive). Run simulation and find interesting area. Correct a little bit.
To make it seamless, there is an addon for that, but forgot the name. Then bake.

Or why not fluid particles