Starting with the back to the wall. This variation gives the most support. It allows opening in the chest and a guide for the shoulders.
Turning the pose 90 degrees, the top hand uses the wall for balance as well as rotation in the upper chest.
Turning another 90 degrees to face the wall, this variation gives me the most ability to turn my torso by pressing my upper hand into the wall.
So now, the lunar cycle is complete. I do have some more fun ideas to try in Ardha Chandrasana.
By placing a strap on my back foot and holding it in my top arm, I'm assisting in the lift of my flying leg, give direction to the flying leg, and make my top arm work and extend.
The final attempt for the day is something I figured out when goofing around with my props. Now I happen to have legs about as long as a 6' looped strap:
Place the loop around the standing leg and hook it into the flying leg. This will give the lovely "thigh back" action that needs to occur in the front leg to keep the hips from cramping. It really is a lovely feeling. My top arm is a little too far back, in this picture. Just ignore that.