After years of waiting, I got my Tilt Five glasses and controller today and spent some time playing a handful of games. Maybe more importantly, I used the lighter-like controller as prop to act out how to interact with icosi-do using this system.
My current plan is to think of the controller as a laser-pointer and mark what the controller is pointing at with a small glowing dot (like a laser pointer). The thumbstick of the controller is going to rotate the puzzle, trigger and "1" button are selecting a rod or menu item, "2" and Tilt Five button are used as back/cancel/escape buttons, and the ABXY buttons are going to scale and vertically position the puzzle.
Also, the background is probably going to be a dark grey instead of black because of technical issues with the display.
With all the limitations of the current Tilt Five system, I don't expect icosi-do to feel super-awesome on Tilt Five - but it might feel about as comfortable as the desktop version and much more immersive.