Not sure if you still need help, but...
You could make the flat surface layer 1, the outer part of the logo 2, and then divide the inner [spiky] part into sections. So the first spike could be lower than the next one, and the third spike the highest.
Not really sure how else to explain that but hopefully it makes sense? You could also mix in some layering like laser-cut things:
http://ih0.redbubble.net/image.34222791.9126/flat,800x800,075,f.u1.jpg