How to arrange objects in a spiral

Hello all!
I urgently need your help.
I would like to create a logo, where I arrange several objects in a spiral.
You can see an example here on this homepage:
http://www.ongus.at/
Here there are several sqares arranged in a spiral regularly transforming from large to small.
How can I manage this?
I have already tried out everything - Tranform, effects, alignment, brushes ...
thank you very much for your help!
bye
petzilein

Like this using a pattern brush and the width tool
The brush has to look like this (no filled path, but a thick stroke):
In order to color it, you'll have to flatten transparency.

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