A perfect ball *does* have a north and a south, if it’s rotating. It has an axis of rotation. (Twelve hours from now, Indonesia will be roughly where Brazil is right now, and vice-versa. On the other hand, the North Pole and South Pole will still be where they are right now. This makes the poles unique.)
There’s also the line from the Sun to the Earth. (At any given moment, there’s a unique spot on Earth where the Sun is directly overhead.)
We can compare the angle between these two lines.
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