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When was the last time each unique score happened in the NHL?

I’m not an especially jealous person, but one of my great regrets as a sportswriter is that I’ve never been able to come up with an idea as cool as scorigami, the Jon Bois concept of a completely unique NFL score. It’s brilliant.

It also doesn’t work all that well in hockey, a sport that just generates the same handful of scores over and over. Or does it? That’s the question that more than a few of you have sent in over the years, most recently from reader Jaromir M: Are there any scores in NHL history that have never happened?