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World’s Most Complicated Geometry Diagram

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!


  1. John Golden says:

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

    • MrHonner says:

      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.

  2. Andy Huynh says:

    Is it related to the Apollonius Point?

  3. Peter Katzlinger says:

    Hello Mr Honner,
    what is your opinion of the following structures?

    Greetings from Munich
    (GeoGebraTube Petrus3743)

    • MrHonner says:

      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?

  4. Peter Katzlinger says:

    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 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.

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