**Artifact**

This, my friends, is part math, part food, part art, all deliciousness:

It’s the all edge brownie pan, which I found from my new Favorite Website of All Time, Reasons to Go Broke. Here’s the description from the Amazon page (perfect 5-star rating):

“For corner brownie fans and chewy edge lovers, it’s a dream come true — a gourmet brownie pan that adds two chewy edges to every serving!”

2012 just became the best year ever.

**Guiding Questions**

- How can we measure the “edginess” of this brownie pan?
- What would happen if you added a couple more horizontal partitions?
- What if you liked the center brownies? Could we make a pan to cater to these monsters?
- Similarly, what if you like brownies with three or four edges?
- Can we make an even “edgier” brownie pan by adjusting the partitions?
- Does the edginess change if we increase or decrease the dimensions of the pan?

**Suggested activities**

- Develop a metric for the “edginess” of a brownie pan. I’m thinking surface area-to-volume ratio should do the trick.
- Plot the number of partitions against the “edginess”.
- Use Google Sketch Up to make a model of this brilliance.
- (Just go with me on this one) Take a poll. Figure out how many people like 1-, 2-, 3-, 4-, or zero-edged brownies, then challenge the class to make the “ideal” brownie pan.
- Make awesome brownies.

I’d also be willing to bet that someone more skilled than I at Geogebra could make a construction of this, complete with a diagram and a plot of partitions vs. edginess.

The more I think about it, the more I like that “ideal” brownie pan idea. But here’s my question: are there people out there than think two is *not* the ideal number of brownie edges? My fear is that the “ideal” brownie pan has already been made. And it’s available for $34.95 at Amazon.