Well, maybe not the most complicated diagram in the *world. *But this is definitely the most complicated diagram I’ve ever seen a student put on the board in order to solve a problem they created.

Most impressive was that the diagram was entirely relevant to the problem. And as a side note, she was able to solve it!

*Click here to see more in Appreciation.*

PLEASE share the problem! You’re killing me here.

I believe this problem began its life as a configuration of gears, and the student ended up exploring some complicated geometry while trying to actually construct the appropriate diagram in Geometer’s Sketchpad. I think this diagram is where that attempted construction led her.

Is it related to the Apollonius Point?

Andy, I don’t believe that the student looked into the Apollonius point. in part because I’m not familiar with it myself. Thanks to your suggestion, I looked into it, and it definitely seems related.

http://mathworld.wolfram.com/ApolloniusPoint.html

I’ll be sure to pass the information along to her. Thanks!