fillet trouble

 From:  telnoi
1700.1 
I decided to try and reconstruct one of the gallery images over here, but I am having issues filleting all edges.
I know that there are certain angle restrictions etc, but I'm wondering what would be the best construction or filleting method. Either fillet most objects before putting them in a circle array, or filleting them afterwards like i'm trying to do know (seems impossible..hints welcome).
Attachments: