Petals Around the Rose: Fraternity Register

I got this puzzle a few years ago. I just happen to be looking for some simple online games and a familiar name came up. I do have to admit that after trying so so hard to figure it out mathmatically, my 8 year old nephew helped me out. All he said was "They look like flowers" and it struck me. I started naming off answers in seconds. This is a truly great game.