A simple way to make a engaging interesting looking design is to use multiple simple designs. This one is made by using one design from each of three different gears.
Selecting which gears to pair together can be a challenge when there are so many options to choose from. In this design the three component simple designs from the three different gears have 8, 16, and 16 petals. But the gears weren't selected with that knowledge in advance. How then do you make a design like this without lots of planning and testing; which is a fine way to go about it too but I want to show that it isn't the only way.
I selected a 160 ring and a 120/96 hoop which I had out from another design that I was working on. I decided that the 160 would be stationary with the 120/96 inside it and free to move. That gave me an internal ring on the hoop of 96. I wanted a relatively simple design so I picked gears with a large common multiple that they shared with the 96. I selected 24, 48, 72 (1/4, 1/2, and 3/4 of 96 respectively). Another way to look at that is that I picked gears that shared lots of common factors with the 96 ring and with each other.
Aligning all the pieces at the 6'oclock position with the darts I started with the 24 1A, then 48 1B, and finally 72 2A.
If this short time lapse is too fast you can adjust the play back speed to slow it down to 0.25x speed.
The pieces used in this design are:
160 ring (Plentiful Gear Set or Full&Plentiful Hoops Gear Set)
120/96 hoop (Full&Plentiful Hoops Gear Set)
72 gear (Compact Gear Set)
48 gear (Compact Gear Set)
24 gear (Compact Gear Set)