Hi elipsis
I have not played with cinema4d. But I imagine that its basically the same as everything else I have seen with regard to smoothing.
So in the programs I have used there is always an option to add smoothing. In maya for example you can preview smoothing, and also add smoothing with 1-3 easy steps. In hexagon2 you can simply click add smoothing between 1-5 levels of smooth. In any case its simply a way of adding resolution to the model. So lets say that the model you have as is is 50 polygons at level 1. Adding a smoothing level of 5, would be a some multiple of that, increasing the resolution by a factor of (X?). What part of the model is smoothed and to what degree depends on the placement of the new edges, which form the new polygons. Usually its pretty even, and the entire model is smoothed over.
(If someone else describe this better please do)
I can't talk you through it because I don't have the same program. So here are your options as I see it.
1) wait until someone comes by here who uses the same software, or seek out the answer on the cinema4d forum.
2) If your not really interested in modeling too much, and you are only doing it here because you needed to. I am very interested in modeling and am interested to see if I can work on a model made by someone else in a different program than was originally used for said model. So you can send it to me and I will try to work on in it in Maya. I have tried this a little already, but the models were super complex to begin with, and yours looks a good bit easier to understand. I would be happy to have the practice. Anyway, I know I could do it from scratch, so working on your model should be simple enough.
So if thats what you want to do, you should also send me the image you want the shape to look like (drawing or web image). I would also like to try your logo in Element 3d for after effects, but I would need a 2d line drawing of your logo, with exact font choice used. That would be fun for me too.
So whatever, its all good... Mostly... Sometimes.