can somone exaplin how the equations for quanterion roation actually work, or at least show me some?

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I don't know enough about qunaterion rotation to as the question easily.

Sufficient to say I have a system were three rectangles on a 2 axis plan (I think those words are right.....) that are currently rotated by EUler angles. I need them rotated by Quanterion rotation instead. Can someone explain how do that, or how that works?