I am so building one of these! (Eventually)
I will use a wood base that will be the anchor point for one (or two) vertical bars, and those will support a flat section of steel bent into the mobius shape and etched with the Chessboard pattern
Then the pieces will have magnetic bottoms...
But maybe glass with strips of steel embedded inside would be better for seeing all your pieces, or just plain glass and suction cup pieces...
So...who's up for a game?
(idea via: Make Blog)