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!

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!

Hello Mr Honner,

what is your opinion of the following structures?

http://www.geogebratube.org/student/m45108

http://www.geogebratube.org/student/m92336

http://www.geogebratube.org/material/show/id/55714

Greetings from Munich

Peter

(GeoGebraTube Petrus3743)

These are pretty complicated geometry diagrams, Peter! You might have a claim to the title. My German’s a little rusty, which makes them even more complicated. I take it these are constructions of rational approximations of pi?

Thanks for the quick answer,

to me it similar my English is rusty!

Please excuse my bad English, I use a translation tool …

Yes, these are constructions of rational approximations of Pi The principle is simple, see http://www.udo-brechtel.de/index.php?m=mathe&s=mathe. Example with rupture 355/113 …

The construction “3.0 + 31 decimal places of Pi …” is exactly the same as the “3.0 + 100 decimal places of Pi…”, which is also found on GeoGebra!

Should you even more interested, you can send me an e-mail.