This is hypothetical question, but it does go the ability of polar ice caps to form and survive. Years ago I read about a computer simulations of a planet with a single circular continent centered on the north pole extending to the 30th N parallel. The continent was entirely flat with an altitude 500m.The rest of the planet was ocean. The simulation assumed an otherwise entirely earth-like planet based on 1990 data. I think the article was in Scientific American but I don't remember the title or author(s). I've not found anything like this on the web. The simulation showed a fairly small north polar summer ice cap, extending only to 85 N and a huge but thin winter ice/snow cap from just a centimeter to about 1-2 meters thick varying according to expected precipitation, latitude and time of day. It extended almost to the coast. However, the floating southern ice cap was huge all year around, ranging to about 40 S in winter to 50 S in summer. (I remember the numbers because I tried to do my own simulation). I was surprised that the simulation showed such a large ice cap could form in an open ocean with no land to act as a source or "seed'. I would have thought that currents would have broken it up. The article (as I recall) suggested that the summer Arctic ice pack would be more stable and larger if it were not surrounded by continents. A look at the actual ice pack from daily satellite data (the cryosphere today.com) shows that shrinkage is greatest in the West Arctic (toward the Bering Strait) where the ocean is in minimal contact with the Pacific, and least in East Arctic where there is greater contact with the Atlantic. However, the eastern Arctic ice pack is also closer to the pole. We can't change geography, but I wonder if a floating ice pack would have formed in the Southern Hemisphere if Antarctica did not exist?