Just as we worked a rosette onto a central ring to make a classic daisy, we can work the simple wheel onto a central ring to make a classic wheel. The traditional way to make the classic wheel is to make the central ring, tie it off, and begin the two circles of rings on a fresh thread. If you're willing to cheat a bit, you can do the entire wheel on one thread:
For practice, we will begin exactly as we did for the daisy:
R: 2-2-2-2-2-2
Now tie the ends into a mock picot and make the first ring just as you did for the daisy:
R: 4-6-6-4
Now here's where you cheat: pass the thread behind the ring and join it to the picot at the tip. Leave the thread slack enough to catch in the next join, and it will be so inconspicuous that you need not hesitate to display both sides of the wheel. Your only problem is that the base and the tip of a ring are not the same shape, so that it will always be obvious to the discerning eye that one of your rings has been installed backward. In the fine thread suitable for designs that feature wheels, however, the discerning eye won't get that close.
Leave a space of thread equal to the height of the ring, reverse work, and work an ornamental ring. Since the outer rings are not to be joined to anything, any of the rings you designed while making tats will do. If you can't decide, I suggest:
R: 2--1--1--1--1--2
Reverse work and make a ring just backwards of the daisy-style ring you climbed away from the center with. Join to the first ring of the inner circle, and to the central ring:
R: 6+4+4-6
Don't forget to put the crochet hook through the thread-passed-behind loop on its way through the picot.