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Three would be nice, though.
Yes, with three objects you can simulate juggling! 
But seriously, if we have any number less than unlimited, somebody will want “just a few more.” You might want just 3 for a bike (two tires and a body), 5 for a car, 12 for a house of cards, etc.
I understand the request, but I don't think there is a “magic number” that would solve this problem.
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