Near-field patterns with three to fifteen petals set on a single circl
e are numerically observed in the ring cavity device. Three to six pet
al daisies result from usual finite size effects. We point out the non
-trivial formation of seven to fifteen petal daisies, with a top-hat i
nput, and a small diffusion term that controls this daisy-type pattern
formation, preventing the usual hexagonal structure to be formed.