You forgot to tilt it and to push the Greenwich meridian out of the center.

It hurts my head to even try to visualize this

It’s because to make it work you split just half the equator. Think of the prime meridian and the antimeridian (by the date line). They make a circle that goes all the way around like the equator, but you only split on half.

That's one that not even XKCD made yet. I guess everybody will agree about it, but the people in tropical countries will agree louder.