Let's pretend all the surfaces in the room you are currently sitting in lost all friction. How would you get out? For me, I have a fire extinguisher within reach. I would use the thrust of the fire extinguisher to give me a boost, assuming I could loop my fingers through the lever. Remember, to push off an object, you'd have to form a PERFECT 90 degree angle with it. Otherwise you will simply slip.
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Face door, inhale. Turn head around, exhale. Rinse and repeat. Could take a while.