Thanks for the update. #56: The text logo feels modern in style, and I like the idea of something like a black square turning into a pink circle.
I would probably go for a more reduced transformation - and keeping to one color scale. For example starting with grey.
...and something less strict - perhaps more free-form, sweeping, curling.
Something illustrating movement.. It would be easy in an amination, harder to do in a logo...
For example in #56 each shape is an exact step. With fewer states, perhaps just two, the first one could be partly transformed, like different roundness of the corner. Or something - I know what I mean when I see it ;)
Perhaps like a teleporter - bits flying from one shape to another?
And don't be afraid of doing something futuristic and flirt a bit with the sci-fi genre. For me, you had that feeling in the 5th Dimension Concepts-logo. Clean white, 3D and strict cold colors. I'm not saying this should be like that one, just that I liked it!