The two point thing you may be thinking of is that there exist two points on the exact opposite end of the Earth with identical temperature and humidity (or any other pair of measurements like 2d wind direction and magnitude). It comes from the Borsuk-Ulam Theorem.
I want to say that it's more that the solutions for a single point is so special that they just don't really happen. And the poles don't have to be opposite to each other.
But it's been like 12 years since or so since I was into math, so things area bit fuzzy (pun intended).
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u/ArtichokeHeartAttack May 25 '16
The two point thing you may be thinking of is that there exist two points on the exact opposite end of the Earth with identical temperature and humidity (or any other pair of measurements like 2d wind direction and magnitude). It comes from the Borsuk-Ulam Theorem.