I think it might work vertically, though calibrating might be tricky, but I think it does need to touch the surface to keep it “the right way up” because the four arms have different z heights it won’t be stable other wise. You could put it on wheels maybe to keep it parallel to the surface.
Or use the drawing utensil from Marzsman: Maslow plotter, or getting used to Maslow without spoiling wood - #21 by marzsman
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