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Hi.
I work on a product design project, and wish to exploit fractals to build up stuff.
For example I have this render here. It goes from 6>12>24>48 etc count per circle.
Each time the size is halved.
In order to make a plate from the same system, I tried to make each element slightly larger 60% in stead of 50% of previous.
I also tried to have them triple at each step.
It grew way too fast and the circles where too far from each other to do anything (they need to touch)
Is there any king of fairly simple calculation or estimation method I can use?
Thank you so much for any help.

Thanks, yes I will try that.
I allready started aligning all the edges or centers of the spheres on a cylinder or plane, and adapt the size and diameter. Since it keeps doubling, I believe it should a little slightly fitting to the math.
Will post renders later 

i do not get exactly what your problem is ?

is it the speed of minimizing the bubbles ?

fractal only means that it has a rational dimensionality, compare how the surface of your object grows when adding a layer ... i think your object will also get an infinite surface when continued endlessly

i find the second one very good,

perhaps you should think of it another way round, try not to expand your starting circles, instead use the space of the first circle, to split it up into smaller circles,
so, you stawith a big bubble, and in iteration 2 you place 2 bubbles side by side inside those starting bubble ( by removing the prior )
and after that you start replacing the 2 bubbles you just created by 4 bubbles ....

and here is another goodie for you ...

when you repeat the above process on and on you get something like a menger sponge, and here comes the thing i love to play with:

alternate

alternate the replacement rule every iteration, so, in first iteration you create 2 bubbles inside the prior, after that create 3 new bubbles inside
the 2 created ones ...

but the problem here is like you have before, after some iterations you have a countless amount of bubbles ( far more than you have now )

have fun!

Thanks a lot for the information Trifox and Gamma.
I would have liked to push this further, but the concept has been put on ice for now 
In favor of a difficult and less interesting one 

Anyhow, I think I have something like a sponge here, the square one

It could be interesting if there was some software that would calculated the base shape to fill a certain shape as result. mmm, I don't know is that was very clear.

Anyway, thanks a lot and I hope I can pick this up again sometimes soon.

All the best.

I like your balls. Very clean and educational. 


How about Xenodream, Incendia, Povray, Processing java environment...

I think that the initial shape will fill its large scale copy.