Petals Around the Rose

A friend introduced this interesting game to me. It is more like an observation game plus a little bit of math. Apparently it took Dr. Richard Duke at the University of Michigan over a year to "see the solution". He claimed "the smarter you were, the longer it took to figure it out". Maybe smarter people tend to think too much, or loose themselves in the details.... (hint) Interestingly I got it right on the first try. Perhaps it's due to me checking the dictionary what petal means.... (hint)