I have to start this post with an apology for *totally* butchering Ann-Marie Ison’s name at the start of the first video. I’d let my son move in front of me to see the pictures, and . . . . oh gracious. So sorry.

Despite that horrible start, this was a really fun project. I saw these three pictures on twitter today via a Dan Anderson retweet:

The first thing I did with the boys for this project was just look at the pictures and talk a little bit about what they thought was going on. [sorry again for getting the name so terribly wrong]

Next we made our own version. It took a while for the boys to suggest something that we could actually draw (!) but this was really fun. We got to talk about modular arithmetic, primes, and even a bit of geometry.

So, a super fun project. I’m so glad to have seen this pictures on twitter today!!

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This is the circular equivalent of the first exploration I did that started with looking at images from Dan’s OP site https://plus.google.com/102934784406938581133/posts/CKvEgQ1JVba

I was completely captivated by the seemingly non-symmetrical way the structure grew.

It’s so interesting to me how exploring a mysterious looking graph can draw a person deeply into inquiry about the relationships that the graphing shows.

Your posts from today, playing with Martin’s desmos graphs, look really super.

This is something that could be explored for a long time – months for sure.

It was neat that my younger son (sort of) understood why the simple patterns he stumbled on we’re so simple.