An interesting fact for you to do with this. Antarctica technically counts for the driest place on earth because it is to cold for precipertation to fall there, but it also counts as the wettest technically as it has some much water held in the ice . . . .
It's never "too cold to snow", however certain conditions create an environment where snow is not likely, this is usually cold clear high pressure, hence the saying but in reality it snows at -50 in several places so it's not a temperature issue.
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