packing strange attractors

This is a lark, but it’s a fun one. Suppose you have a lot of different polynomial strange attractors (like the ones I have previously posted to their blogs). Suppose that they’re made out a material such that so long as the sum of the probability distribution function between the both is less than, say, one ninth, they can intersect. What packing properties would it have? If you had a lot of them, how would a fluid composed of strange attractor shaped particles behave? 

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