The land and waterhemispheres. Equal-area projection. Map from wikipedia.
OK, so I just got really obsessed with a very arcane question. There are 'land' and 'water' hemispheres that maximize the amount of each (below). But can you divide the earth into two hemispheres that are each 29% land, 71% water, just like the earth as a whole? The LLMs said no… but I persisted.