## Math with Waffles

Both of my kids have gotten into the Origami Yoda website lately:

Some of my older son’s work on Oragami Yoda

What I’ve learned from this new hobby is the compliment: waffle-tastic!

Today, we did what I hoped would be waffle-tastic project – with waffles!

We started off counting squares on a waffle:

Once we counted the number of different ways to put one blueberry in the waffle, we looked at a new problem: what are the number of ways to put the blueberry in the waffle if we consider ways that are the same under rotation to be identical:

Having covered the ways of putting one blueberry on the waffle, the next part of the project was looking at two blueberries. First up was how many different ways could you put two blueberries onto the waffle. The interesting discussion here was about when two arrangements should be considered to be the same:

The last part of the project was a really difficult problem – how many ways are there to put two blueberries in the waffle when we consider ways that are the same under rotation to be identical?

I knew this would be a challenge, but it was harder for the boys to get their arms around than I expected. I split this discussion into two pieces – but the total discussion is still over 13 minutes.

I wish that I’d done a better job with this last part, but you not every one of these projects goes perfectly. Still a fun project overall, though, and maybe it opens the door to a future project counting symmetries.