Are the “juggling roots” related to Aztec Diamond tilings?

I was working over at MIT today and brought the print I made overnight so that I could sand it after it cured:

Occasionally there’s a grad student that I chat with and he walked by today and asked what the print was. I showed him the “juggling roots” from the John Baez tweet:

Here are the two recent projects that we’ve done after seeing that tweet.

Sharing John Baez’s “juggling roots” tweet with kids

Sharing John Baez’s “juggling roots” post with kids part 2

Seeing the rotating roots, he said “Oh, that’s related to the Aztec diamond tilings.” Unfortunately he had to run to a meeting so I didn’t get to learn what the relationship was.

But . . . here’s a picture of the Aztec diamond:

Screen Shot 2016-03-02 at 7.07.20 PM

Here are a few of the projects that we’ve done on the Aztec diamond tilings:

The Arctic Circle Theorem

TA second example from tiling the Aztec diamond

It is funny the relationships you see when you know what you are looking at. I don’t see the connection, but I’m excited to learn what it is!

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