It’s a statistical statement, not a law of physics, in which the snowflakes communicate with each other, or anything like that.
Let’s use an analogy with playing cards. There are approximately 80,658,175,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 different ways of arranging the cards in a deck. If I shuffle well, I can be extremely sure that no two shuffles will result in the same arrangement. Actually I can very sure that all the shuffles done by all the people in the world ever won’t repeat the exact same arrangement.
It’s the same with snowflakes. There are an unimaginably large number of ways a snowflake can arrange itself. While the number of snowflakes is a lot, it’s nowhere’s near that big. So we can be very sure that no two snowflakes are the same.
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