Once you've created the free floating verts you can go into the face subobject level and enable 'create' there to create faces from them, or use the ribbons 'Step Build' modeling tool.
I think generally it would help if you tried to explain in more detail what exactly you want achieve using what application/renderer, ideally with images/examples. If your talking about game art, I would probably start by looking for sample/existing content for which ever engine you want to use, as linked by Neox, and then…