Biellmann Spin: rotation of the vertical center line.

The Biellman spin is a staple for ending performances in figure skating. In the bottom picture, a friend of my daughter's is doing a Biellman spin. She hasn't been on skates for a couple of years, but you can see how the rotation of the centreline must be precise or she quickly spins off to a calamitous ending! She is playing on three Lazy Suzans, 16 inch ballbearing spinners sandwiched between a couple of plywood circles. By stepping from one Lazy Susan to the other, you will perfect your vertical rotational balance and make more precise your walking The spinning practice will strengthen the ankle, hip and waist muscles, which in turn will improve your push hands practice. 

The dance with the umbrella adds a top-weighted resistance to play with. The base of the umbrella handle rotates 360 degrees so the umbrella can always spin against the push of the wind. Again, it's a superlative balance exercise.