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Thank you Monika, close, but those answers / posts don't explain how to make a pattern swatch with an expanding fibonaci spiral (I'll update my question now, to better describe what I meant).
A pattern swatch of that will not work.
Is that because the shapes are random in the example pic I posted? Or because an expanding spiral seamless pattern is impossible? I would be happy if the dots were not rough and irregular shapes, even just round dots would be great!
You cannot have that thing as a pattern in Illustrator, because it doesn't tile. You can make a clipping mask.
It's possible to write a script with a user interface so as to increase/decrease the number and/or size of dots to the user's liking. The outcome will be a group of paths though, not a pattern.
Thanks Monica, I can see what you mean, thanks for your help.