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Ooh ooh! I just thought of something else. Since the way the freebord works on a skateboard is that the swivel wheel acts as a pivot between two straight wheels, you would definitely need to apply the same principle.
BUT, instead of having two wheels in the back of the ski along with a swivel wheel, and the same configuration in the front, you could do THIS: put the straight-rolling wheels on the outside of the ski, and the swivel wheel on the inside of the ski! So for the left ski, the straight wheels are on the front and back of the ski, on the left side, and the swivel wheel is in the middle, on the right side.
This way, when you turn, your uphill ski will be dragging the straight wheels sideways, so you can dig in an edge.
I just got myself so excited for this idea, that if you're not going to try and make one, then I am! And I'll be rich from it!