Back when I had a longterm girlfriend, before I became a workaholic, she had a strange-looking map on the wall. “The normal map makes third world countries look puny. This is what the world actually looks like,” she explained. I never got used to it. But it did shake, and stir, any notion that I knew what our planet actually looks like.
This is what we think the world looks like (Mercator map):
This is closer to what the world actually looks like (The Peters Projection):
I mean, check this out:
Bonus, via West Wing: