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As soon as you have a layer of ice on the surface the molecules of water vapour in the air above it cannot tell what the surface underneath is.So they will only stick to it and form more ice crystals if it's cold enough. If you have the surface that cold then it pretty much doesn't matter what it's like- you will get ice on it.I don't think you gain anything this way compared to a bigger plate of stuff that's less cold, but still below the dew point of the air. You will cool the air and remove water from it. If you let that water run away down the drain then you don't need to expend more energy freezing it.A wet surface will proably trap dust better too which might help.